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Part of the book series: Advances in Polymer Science ((POLYMER,volume 112))

Abstract

The classical concepts about unmixing of polymer blends (Flory-Huggins theory) and about mesophase ordering in block copolymers (Leibler's theory) are briefly reviewed and their validity is discussed in the light of recent experiments, computer simulations and other theoretical concepts. It is emphasized that close to the critical point of unmixing non-classical critical exponents of the Ising universality class are observed, in contrast to the classical mean-field exponents implied by the Flory-Huggins theory. The temperature range of this non-mean-field behavior can be understood by Ginzburg criteria. The latter are also useful to discuss the conditions under which the linearized (Cahn-like) theory of spinodal decomposition holds. While Flory-Huggins theory predicts correctly that the critical value of the Flory χ-parameter scales with chain length N (for symmetrical mixtures) χc ∝ 1/N, it strongly overestimates the prefactor and its use for fitting experimental data yields spurious concentration dependence. Also the chain radii depend on both χ and the composition of the mixture, thus invalidating the random phase approximation (RPA). Particular strong deviations from the RPA are predicted for block copolymer melts, where chains may stretch out in a dumbbell-like shape even in the disordered phase, before the microphase separation transition is approached. This review concludes with an outlook on interfacial phenomena and surface effects on these systems and other open problems in this field.

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References

  1. Flory PJ (1953) Principles of polymer chemistry. Cornell University Press, Ithaca

    Google Scholar 

  2. DeGennes PG (1979) Scaling concepts in polymer physics. Cornell University Press, Ithaca

    Google Scholar 

  3. Klempner D, Frisch K (eds) (1977) Polymer Alloys. Plenum, New York

    Google Scholar 

  4. Olabasi M (ed) (1979) Polymer-polymer miscibility. Academic, New York

    Google Scholar 

  5. Walsh DS, Higgins JS, Maconnachie A (eds) (1985) Polymer blends and mixtures. Martinus Nijhoff Dordrecht

    Google Scholar 

  6. Koningsveld R (1968) Adv Colloid Interface Sci 2: 151

    Google Scholar 

  7. Koningsveld R, Kleinjens LA, Schoffelers HM (1974) Pure Appl Chem 39: 1

    Google Scholar 

  8. Koningsveld R, Kleinjens LA, Nies E (1987) Croat Chim Acta 60: 53

    Google Scholar 

  9. Binder K (1987) Colloid & Polymer Sci 265: 273

    Google Scholar 

  10. Hashimoto T (1987) In: Ottenbrite RM, Utracki LM, Inoue S (eds) Current topics in polymer science, vol 2. Hanser, Munich, p 199

    Google Scholar 

  11. Nose T (1987) Phase Transitions 8: 245

    Google Scholar 

  12. Hashimoto T (1988) Phase Transitions 12: 47

    Google Scholar 

  13. Flory PJ (1941) J Chem Phys 9: 660

    Google Scholar 

  14. Flory PJ (1942) J Chem Phys 10: 51

    Google Scholar 

  15. Huggins ML (1941) J Chem Phys 9: 440

    Google Scholar 

  16. Huggins ML (1942) J Phys Chem 46: 151

    Google Scholar 

  17. Huggins ML (1942) J Am Chem Soc 64: 1712

    Google Scholar 

  18. Staverman AJ (1941) Recl Trav Chim 60: 640

    Google Scholar 

  19. Staverman AJ, Van Santen JH (1941) Recl Trav Chim 60: 76

    Google Scholar 

  20. Guggenheim EA (1945) Proc Roy Soc (London) A183: 203

    Google Scholar 

  21. Guggenheim EA (1945) Proc Roy Soc (London) A183: 231

    Google Scholar 

  22. Scott RL (1949) J Chem Phys 17: 279

    Google Scholar 

  23. Cahn RW, Haasen P (1983) Physical metallurgy. North Holland, Amsterdam

    Google Scholar 

  24. Stocks LM, Gonis A (eds) (1989) Alloy phase stability. Kluwer Dordrecht

    Google Scholar 

  25. Haasen P (ed) (1991) Phase transformations in materials. VCH Verlagsges., Weinheim

    Google Scholar 

  26. Flory PJ (1969) Statistical mechanics of chain molecules. Interscience, New York

    Google Scholar 

  27. Snyder HL, Meakin P, Reich S (1983) Macromolecules 16: 757

    Google Scholar 

  28. Hashimoto T, Izumitani T (1985) J Chem Phys 83: 3694

    Google Scholar 

  29. Okada N, Han CC (1986) J Chem Phys 85: 5317

    Google Scholar 

  30. Meier H, Strobl GR (1987) Macromolecules 20: 649

    Google Scholar 

  31. Higgins JS, Fruitwala H, Tomlins PE (1989) Macromolecules 22: 3674

    Google Scholar 

  32. Schwahn D, Yee-Madeira H (1987) Colloid Polym Sci 265: 867; Schwahn D, Springer T, Mortensen K, Yee-Madeira H (1988) In: Komura S, Furukawa H (eds) Dynamics of ordering processes in condensed matter. Plenum, New York, p 445

    Google Scholar 

  33. Schwahn D, Springer T, Yee-Madeira H, Mortensen K (1988) In: Richter D, Springer T (eds) Polymer motion in dense systems. Springer Proceedings in Physics, vol 29. Springer, Berlin Heidelberg New York p 296

    Google Scholar 

  34. Sato T, Han CC (1988) J Chem Phys 88: 2057

    Google Scholar 

  35. Wiltzius P, Bates FS, Heffner WR (1988) Phys Rev Lett 60: 1538

    Google Scholar 

  36. Bates FS, Wiltzius P (1989) J Chem Phys 91: 3258

    Google Scholar 

  37. Jones RAL, Kramer EJ, Rafailovich MH, Sokolov J, Schwarz SA (1989) Phys Rev Lett 62: 280

    Google Scholar 

  38. Sokolov J, Rafailovich MH, Jones RAL, Kramer EJ (1989) Appl Phys Lett 54: 590

    Google Scholar 

  39. Bates FS, Fredrickson GH (1990) Ann Rev Phys Chem 41: 525

    Google Scholar 

  40. Brown RA, Masters AJ, Price C, Yuan XF (1989) In: Allen G (ed) Comprehensive Polymer Science. Pergamon, Oxford, p 155

    Google Scholar 

  41. Helfand E, Wasserman ZR (1976) Macromolecules 9: 879

    Google Scholar 

  42. Helfand E, Wasserman ZR (1978) Macromolecules 11: 960

    Google Scholar 

  43. Leibler L (1980) Macromolecules 13: 1602

    Google Scholar 

  44. Schweizer KS, Curro JG (1988) Phys Rev Lett 60: 809

    Google Scholar 

  45. Schweizer KS, Curro JG (1988) J Chem Phys 88: 7242

    Google Scholar 

  46. Schweizer KS, Curro JG (1989) J Chem Phys 91: 5059

    Google Scholar 

  47. Schweizer KS, Curro JG (1990) Chem Phys 149: 105

    Google Scholar 

  48. Curro JG, Schweizer KS (1990) Macromolecules 23: 1402

    Google Scholar 

  49. Schweizer KS, Curro JG (1991) J Chem Phys 94: 3986

    Google Scholar 

  50. Curro JG, Schweizer KS (1991) Macromolecules 24: 6736

    Google Scholar 

  51. Dudowicz J, Freed KF, Madden WG (1990) Macromolecules 23: 4803

    Google Scholar 

  52. Lipson JEG (1991) Macromolecules 24: 1334

    Google Scholar 

  53. Hong KM, Noolandi J (1981) Macromolecules 14: 727

    Google Scholar 

  54. Noolandi J, Hong KM (1982) Macromolecules 15: 482

    Google Scholar 

  55. Hong KM, Noolandi J (1983) Macromolecules 17: 1443

    Google Scholar 

  56. Semenov AN (1985) Soviet Phys JETP 61: 733

    Google Scholar 

  57. Ohta T, Kawasaki K (1986) Macromolecules 19: 2621

    Google Scholar 

  58. Fredrickson GH, Helfand E (1987) J Chem Phys 87: 697

    Google Scholar 

  59. Kawasaki K, Ohta T, Kohrogu M (1988) Macromolecules 21: 2972

    Google Scholar 

  60. Noolandi J, Kawassalis TA (1988) In: Nagasawa M (ed) Molecular conformation and dynamics of macromolecules in condensed systems. Elsevier, Amsterdam, p 285

    Google Scholar 

  61. Fredrickson GH, Binder K (1989) J Chem Phys 91: 7265

    Google Scholar 

  62. Burger C, Ruland W, Semenov AN (1990) Macromolecules 23: 3339

    Google Scholar 

  63. Muthukumar M (1986) J Chem Phys 85: 4722

    Google Scholar 

  64. Olvera de la Cruz M (1991) Phys Rev Lett 67: 85

    Google Scholar 

  65. Khoklov AR (1991) In: Ciferri A (ed) Liquid Crystallinity in Polymers: Principles and Fundamental Properties, p 97 VCH Publ., Weinheim

    Google Scholar 

  66. Sperling LH (1981) Interpenetrating Polymer Networks and Related Materials. Plenum, New York

    Google Scholar 

  67. Binder K, Frisch HL (1984) J Chem Phys 81: 2126; Schulz M (1992) J Chem Phys, in press; Schulz M, Binder K (1993) J Chem Phys 98: 655

    Google Scholar 

  68. Bates FS, Muthukumar M, Wignall GD, Fetters LJ (1988) J Chem Phys 89: 535

    Google Scholar 

  69. Bates FS, Rosedale JH, Stepanek P, Lodge TP, Wiltzius P, Fredrickson GH, Hjelm PP, Jr (1990) Phys Rev Lett 65: 1893

    Google Scholar 

  70. Cumming A, Wiltzius P, Bates SF (1990) Phys Rev Lett 65: 863

    Google Scholar 

  71. Stepanek P, Lodge TP, Kedrowski C, Bates SF (1991) J Chem Phys 94: 8289

    Google Scholar 

  72. Koningsveld R, Kleintjens LA (1973) In: Macromolecular chemistry, vol 1, Butterworths, London, p 97

    Google Scholar 

  73. Stanley HE (1971) An introduction to phase transitions and critical phenomena. Oxford University Press, Oxford

    Google Scholar 

  74. Fisher ME (1974) Rev Mod Phys 46: 597

    Google Scholar 

  75. Privman V, Aharony A, Hohenberg PC (1991) In: Domb C, Lebowitz JL (eds) Phase transitions and critical phenomena, vol 14, Academic, New York

    Google Scholar 

  76. DeGennes PG (1977) J Phys Lett (Paris) 38: L44

    Google Scholar 

  77. Joanny JF (1987) J Phys A11: L117

    Google Scholar 

  78. Binder K (1983) J Chem Phys 79: 6387

    Google Scholar 

  79. Binder K (1984) Phys Rev A29: 341

    Google Scholar 

  80. Dudowicz J, Freed KF (1991) Macromolecules 24: 5076, 5112

    Google Scholar 

  81. Dudowicz J, Freed MS, Freed KF (1991) Macromolecules 24: 5096

    Google Scholar 

  82. Freed KF, Bawendi MG (1989) J Phys Chem 93: 2194

    Google Scholar 

  83. Bawendi MG, Freed KF (1988) J Chem Phys 88: 2741

    Google Scholar 

  84. Carmesin I, Kremer K (1988) Macromolecules 21: 2819

    Google Scholar 

  85. Carmesin I, Kremer K (1990) J Phys (Paris) 51: 915

    Google Scholar 

  86. Wittmann HP, Kremer K (1990) Computer Phys Commun 61: 309

    Google Scholar 

  87. Deutsch HP, Dickman R (1990) J Chem Phys 93: 8983

    Google Scholar 

  88. Deutsch HP, Binder K (1991) J Chem Phys 94: 2294

    Google Scholar 

  89. Paul W, Binder K, Heermann DW, Kremer K (1991) J Phys (Paris) II1: 37

    Google Scholar 

  90. Jilge W, Carmesin I, Kremer K, Binder K (1990) Macromolecules 23: 5001

    Google Scholar 

  91. Deutsch HP (1992) J Stat Phys 67: 1039

    Google Scholar 

  92. Deutsch HP, Binder K (1992) Macromolecules (in press)

    Google Scholar 

  93. Deutsch HP, Binder K (1992) Macromol Chem, Macromol Symp (in press)

    Google Scholar 

  94. Paul W, Binder K, Kremer K, Heermann DW (1991) Macromolecules 24: 6332

    Google Scholar 

  95. Binder K (1991) Macromol Chem, Macromol Symp 50: 1

    Google Scholar 

  96. Wittmann HP, Kremer K, Binder K (1992) J Chem Phys 96: 6291

    Google Scholar 

  97. Lopez-Rodriguez A, Wittmann HP, Binder K (1990) Macromolecules 23: 4327

    Google Scholar 

  98. Wittmer J, Paul W, Binder K (1992) Macromolecules 25: 7211

    Google Scholar 

  99. Deutsch HP, Binder K (1991) Europhys Lett 17: 697

    Google Scholar 

  100. Landau LD, Lifshitz EM (1958) Statistical Physics. Pergamon, Oxford

    Google Scholar 

  101. Sariban A, Binder K (1988) Macromolecules 21: 711

    Google Scholar 

  102. Sariban A, Binder K (1988) Macromol Chem 189: 2357

    Google Scholar 

  103. Sariban A, Binder K (1988) Colloid Polym Sci 266: 389

    Google Scholar 

  104. Kremer K, Binder K (1988) Computer Phys Rep 7: 259

    Google Scholar 

  105. Binder K, Heermann DW (1988) Monte Carlo simulation in statistical physics. An introduction. Springer, Berlin Heidelberg New York

    Google Scholar 

  106. Binder K (1992) In: Bicerano J (ed) Computer modelling of polymers. Marcel Dekker, New York p. 221

    Google Scholar 

  107. Sariban A, Binder K (1987) J Chem Phys 86: 5853

    Google Scholar 

  108. Sanchez IC, Lacombe RH (1976) J Phys Chem 80: 2352

    Google Scholar 

  109. Lacombe RH, Sanchez IC (1976) J Phys Chem 80: 2568

    Google Scholar 

  110. Sanchez IC, Lacombe RH (1978) Macromolecules 11: 1145

    Google Scholar 

  111. Sanchez IC, Balasz AC (1989) Macromolecules 22: 2325

    Google Scholar 

  112. Panayiotou C, Vera JH (1982) Polym J 14: 681

    Google Scholar 

  113. Chen SH, Chu B, Nossal R (eds) (1981) Scattering techniques applied to supramolecular and nonequilibrium systems. Plenum, New York

    Google Scholar 

  114. Jannink G, De Gennes PG (1968) J Chem Phys 48: 2260

    Google Scholar 

  115. A detailed pedagogic account can be found in: Kehr K (1991) In: 22.IFF Ferienkurs, Physik der Polymere. Forschungszentrum Jülich, Jülich, Germany, Chapter 5

    Google Scholar 

  116. Doi M, Edwards SF (1986) The theory of polymer dynamics. Clarendon Oxford

    Google Scholar 

  117. Benoit H, Benmouna M (1984) Macromolecules 17: 535

    Google Scholar 

  118. Brout R (1965) Phase transitions. Benjamin, New York

    Google Scholar 

  119. Joanny JF (1978) Comptes Rendu Acad Sci (Paris) 286B: 89

    Google Scholar 

  120. Binder K (1991) In: Materials science and technology, vol 5, Phase transformations in materials. VCH Verlagsges., Weinheim, Germany, chap 7

    Google Scholar 

  121. Komura S, Furukawa H (eds) (1988) Dynamics of ordering processes in condensed matter. Plenum, New York

    Google Scholar 

  122. Zettlemoyer AC (1969) Nucleation. Marcel Dekker, New York

    Google Scholar 

  123. Binder K (1987) Rep Progr Phys 50: 783

    Google Scholar 

  124. Nakanishi H, Pincus P (1983) J Chem Phys 79: 997

    Google Scholar 

  125. Schmidt I, Binder K (1985) J Physique (Paris) 46: 1631

    Google Scholar 

  126. Jones RAL, Norton LJ, Kramer EJ, Composto RJ, Stein RS, Russell TP, Mansour A, Karim A, Felcher GP, Rafailovich MH, Sokolov J, Zhao X, Schwarz SA (1990) Europhysics Lett 12: 41

    Google Scholar 

  127. Steiner U, Eiser E, Klein J, Budkowski A, Fetters LJ (1992) Science 258: 1126

    Google Scholar 

  128. Binder K (1991) In: Haasen P (ed) Materials science and technology, vol 5, Phase transitions in materials. VCH Verlagsges., Weinheim, Germany, chap 3

    Google Scholar 

  129. De Gennes PG (1980) J Chem Phys 72: 4756

    Google Scholar 

  130. Shibayama M, Yang H, Stein RS (1985) Macromolecules 18: 2179

    Google Scholar 

  131. Akcasu AZ, Sanchez IC (1988) J Chem Phys 88: 7847

    Google Scholar 

  132. Helfand E, Tagami Y (1971) J Chem Phys 56: 3592

    Google Scholar 

  133. Joanny JF, Leibler L (1978) J Physique (Paris) 39: 951

    Google Scholar 

  134. Binder K, Frisch HL (1984) Macromolecules 17: 2928

    Google Scholar 

  135. Roe RJ (1986) Macromolecules 19: 728

    Google Scholar 

  136. Tang H, Freed KF (1991) J Chem Phys 94: 1572, 6307

    Google Scholar 

  137. Zeng XC, Oxtoby DW, Tang H, Freed KF (1992) J Chem Phys 96: 4816

    Google Scholar 

  138. DeGroot SR, Mazur P (1962) Nonequilibrium thermodynamics. North-Holland, Amsterdam

    Google Scholar 

  139. Rouse PE (1957) J Chem Phys 21: 1273

    Google Scholar 

  140. Doi M, Edwards SF (1986) The theory of polymer dynamics. Claredon, Oxford

    Google Scholar 

  141. De Gennes PG (1971) J Chem Phys 55: 572

    Google Scholar 

  142. Pincus P (1981) J Chem Phys 75: 1996

    Google Scholar 

  143. Cook HE (1970) Acta metall 18: 297

    Google Scholar 

  144. Hohenberg PC, Halperin BI (1977) Rev Mod Phys 49: 435

    Google Scholar 

  145. Fredrickson GH, Bates FS (1986) J Chem Phys 85: 633

    Google Scholar 

  146. Kawasaki K (1970) Ann Phys 61: 1

    Google Scholar 

  147. Fredrickson GH (1986) J Chem Phys 85: 3556

    Google Scholar 

  148. Ginzburg VL (1960) Sov Phys Solid State 1: 1824

    Google Scholar 

  149. Cahn JW (1961) Acta Metall 9: 795

    Google Scholar 

  150. Cahn JW, Hilliard JE (1958) J Chem Phys 28: 258

    Google Scholar 

  151. Cahn JW (1968) Trans Metall Soc AIME 242: 166

    Google Scholar 

  152. Gunton JD, San Miguel M, Sahni PS (1983) In: Domb C, Lebowitz JL (eds) Phase transitions and critical phenomena, Academic, London, vol 8, p 267

    Google Scholar 

  153. Hashimoto T (1992) In: Kramer EJ (ed) Materials science and technology, vol 12, Structure and properties of polymers. VCH Verlag, Weinheim

    Google Scholar 

  154. Strobl GR (1985) Macromolecules 18: 558

    Google Scholar 

  155. Sariban A, Binder K (1991) Macromolecules 24: 578

    Google Scholar 

  156. Hill RG, Tomlins PE, Higgins JS (1985) Polymer 26: 1708

    Google Scholar 

  157. Hill RG, Tomlins PE, Higgins JS (1985) Macromolecules 18: 2555

    Google Scholar 

  158. Hashimoto T, Itakura M, Shimizu N (1986) J Chem Phys 85: 6773

    Google Scholar 

  159. Takenata M, Izumitani T, Hashimoto T (1987) Macromolecules 30: 2257

    Google Scholar 

  160. Onuki A, Hashimoto T (1989) Macromolecules 22: 879

    Google Scholar 

  161. Binder K (1989) In: Stocks LM, Gonis A (eds): Alloy phase stability, Kluwer, Dordrecht, p 233

    Google Scholar 

  162. Carmesin HO, Heermann DW, Binder K (1986) Z Physik B65: 89

    Google Scholar 

  163. Binder K, Frisch HL, Jäckle J (1986) J Chem Phys 85: 1505

    Google Scholar 

  164. Jäckle J, Pieroth M (1988) Z Phys B72: 25

    Google Scholar 

  165. Higgins JS, Fruitwala HA, Tomlins PE (1989) British Polymer J 21: 247

    Google Scholar 

  166. Schwahn D, Janßen S, Springer T (1992) J Chem Phys 97: 8775

    Google Scholar 

  167. Siggia ED (1979) Phys Rev A20: 595

    Google Scholar 

  168. Furukawa H (1985) Adv Phys 34: 705

    Google Scholar 

  169. Guenoun P, Gastaud R, Perrot F, Beysen D (1987) Phys Rev A36: 4876

    Google Scholar 

  170. Hashimoto T (1988) In: Komura S, Furukawa H (eds) Dynamics of ordering processes in condensed matter, Plenum, New York, p 421

    Google Scholar 

  171. Onuki A (1986) J Chem Phys 85: 1122

    Google Scholar 

  172. Izumitani T, Hashimoto T (1992) preprint, quoted in Ref 153

    Google Scholar 

  173. Hashimoto T, Takenaka M, Izumitani T (1992) J Chem Phys 97: 679

    Google Scholar 

  174. Hayward S, Heermann DW, Binder K (1987) J Stat Phys 49: 1053

    Google Scholar 

  175. Lironis G, Heermann DW, Binder K (1990) J Phys A23: L329

    Google Scholar 

  176. Kawasaki K, Sekimoto K (1989) Macromolecules 22: 3063

    Google Scholar 

  177. Lifshitz IM, Slyozov W (1961) J Phys Chem Solids 19: 35

    Google Scholar 

  178. Binder K, Stauffer D (1974) Phys Rev Lett 33: 1006

    Google Scholar 

  179. Binder K, Stauffer D (1976) Z Phys B24: 407

    Google Scholar 

  180. Takenaka M, Hashimoto T (1992) J Chem Phys 96: 6177

    Google Scholar 

  181. Chou YC, Goldburg WI (1980) Phys Rev A23: 858

    Google Scholar 

  182. Porod G (1951) Koll Z 124: 83

    Google Scholar 

  183. Porod G (1951) Koll Z 125: 51, 108

    Google Scholar 

  184. Yeung CY (1988) Phys Rev Lett 61: 1135

    Google Scholar 

  185. Furukawa H (1989) Phys Rev B40: 2341

    Google Scholar 

  186. Furukawa H (1989) J Phys Soc Jpn 58: 216

    Google Scholar 

  187. Ohta T, Nozaki H (1989) In: Tanaka F, Doi M, Ohta T (eds) Space-time organization in macromolecular fluids, Springer, Berlin Heidelberg New York, p 51

    Google Scholar 

  188. Chakrabarti A, Toral A, Gunton JD, Muthukumar M (1990) J Chem Phys 92: 6899

    Google Scholar 

  189. Shinozaki A, Oono Y (1991) Phys Rev Lett 66: 173; Akcasu AZ, Erman B, Bahar I (1992) Makromol Chem, Macromol Symp 62: 43; Akcasu AZ, Klein R (1992) Macromolecules, in press

    Google Scholar 

  190. Koga T, Kawasaki K (1991) Phys Rev A44: 817

    Google Scholar 

  191. Brochard F, Jouffroy J, Levison P (1983) Macromolecules 16: 1638

    Google Scholar 

  192. Akcasu AZ, Benmouna M, Benoit H (1986) Polymer 27: 1935

    Google Scholar 

  193. Kramer EJ, Green PF, Palmstrom CJ (1984) Polymer 25: 473

    Google Scholar 

  194. Sillescu H (1984) Makromol Chem, Rapid Commun 5: 519

    Google Scholar 

  195. Sillescu H (1987) Makromol Chem, Rapid Commun 8: 393

    Google Scholar 

  196. Schichtel T, Binder K (1987) Macromolecules 20: 1671

    Google Scholar 

  197. Kehr KW, Binder K, Reulein SM (1989) Phys Rev B39: 4891

    Google Scholar 

  198. Brochard F, De Gennes PG (1983) Physica 118A: 289

    Google Scholar 

  199. Brochard F, De Gennes PG (1986) Europhys Lett 1: 221

    Google Scholar 

  200. Brochard-Wyart F (1987) C R Acad Sci Sec II (France) 305: 657

    Google Scholar 

  201. Hess W, Frisch HL (1987) J Polym Sci Part C24: 269

    Google Scholar 

  202. Hess W, Akcasu AZ (1988) J Phys (Paris) 49: 1261

    Google Scholar 

  203. Akcasu AZ (1989) Macromolecules 22: 3682; Akcasu A Z, Nägele C, Klein R (1991) Macromolecules 24: 4408, Akcasu AZ, Tombakogcu M (1990) Macromolecules 23: 607, Akcasu AZ (1991) Macromolecules 24: 2109

    Google Scholar 

  204. Onuki A (1989) Phys Rev Lett 62: 2472

    Google Scholar 

  205. Helfand E, Fredrickson GH (1989) Phys Rev Lett 62: 2468

    Google Scholar 

  206. Onuki A (1990) J Phys Soc Jpn 59: 3423, 3427

    Google Scholar 

  207. Milner ST (1991) Phys Rev Lett 66: 1477

    Google Scholar 

  208. Doi M, Onuki A (1992) J Phys II (France) 2: 1631

    Google Scholar 

  209. Wittmann H-P, Fredrickson GH (1993) preprint

    Google Scholar 

  210. Brochard F (1988) In: Nagasawa M (ed) Molecular conformation and dynamics of macromolecules in condensed systems, Elsevier, Amsterdam, p 249

    Google Scholar 

  211. Binder K, Sillescu H (1989) In: Encyclopedia of polymer science and engineering, Supplement Volume, 2nd edn, J Wiley, New York, p 297

    Google Scholar 

  212. Cahn JW, Hilliard JE (1959) J Chem Phys 31: 668

    Google Scholar 

  213. Klein W, Unger C (1983) Phys Rev B28: 445

    Google Scholar 

  214. Heermann DW, Klein W (1983) Phys Rev B27: 1732

    Google Scholar 

  215. Schwahn D, Mortensen K, Yee-Madeira Y (1987) Phys Rev Lett 58: 1544

    Google Scholar 

  216. Janßen S, Schwahn D, Springer T (1992) Phys Rev Lett 68: 3180

    Google Scholar 

  217. Fischer EW, Meier G, Momper B, (1992) Macromol Chem; Macromol Symp 62: 120

    Google Scholar 

  218. Binder K (1988) In: Landau DP, Mon KK, Schüttler HB (eds) Computer simulation studies in condensed matter physics. Springer Proceedings in Physics, vol 33, Berlin Heidelberg New York, p 84

    Google Scholar 

  219. Pesci AI, Freed KF (1989) J Chem Phys 90: 2017

    Google Scholar 

  220. Freed KF, Dudowicz J (1992) Theor Chim Acta 82: 357

    Google Scholar 

  221. Dudowicz J, Freed KF (1992) J Chem Phys 96: 1644, 9147

    Google Scholar 

  222. Freed KF, Dudowicz J (1992) J Chem Phys 97: 2105

    Google Scholar 

  223. Han CC, Bauer BJ, Clark BJ, Muroya Y, Okads M, Tran-Cong Z, Sanchez IC (1988) Polymer 29: 2002

    Google Scholar 

  224. Yethiraj A, Schweizer KS (1992) J Chem Phys 97: 5927

    Google Scholar 

  225. Lipson JEG (1992) J Chem Phys 96: 1418

    Google Scholar 

  226. Hansen JP, McDonald IR (1986) Theory of simple liquids. Academic, London

    Google Scholar 

  227. Born M, Green HS (1946) Proc Royal Soc London, Ser A188: 10

    Google Scholar 

  228. Yvon Y (1935) Actual Scientifiques et Industriels. Herman et Cie, Paris

    Google Scholar 

  229. Kirkwood JG (1935) J Chem Phys 3: 300

    Google Scholar 

  230. Chandler D, Anderson HC (1972) J Chem Phys 57: 1930

    Google Scholar 

  231. Schweizer KS, Curro JG (1987) Phys Rev Lett 58: 256

    Google Scholar 

  232. Curro JG, Schweizer KS (1987) Macromolecules 20: 1928

    Google Scholar 

  233. Curro JG, Schweizer KS (1987) J Chem Phys 87: 1842

    Google Scholar 

  234. Curro JG, Schweizer KS, Grest GS, Kremer K (1989) J Chem Phys 91: 1357

    Google Scholar 

  235. Gehlsen MD, Rosedale JH, Bates FS, Wignall GD, Almdal K (1992) Phys Rev Lett 68: 2452

    Google Scholar 

  236. Honnell KG, Curro JG, Schweizer KS (1990) Macromolecules 23: 3496

    Google Scholar 

  237. Honnell KG, McCoy JD, Curro JG, Schweizer KS, Narten AH, Habenschuss A (1991) J Chem Phys 94: 4659

    Google Scholar 

  238. Joanny JF, Leibler L, Ball R (1984) J Chem Phys 81: 4640

    Google Scholar 

  239. Schäfer L, Kappeler Ch (1985) J Phys (Paris) 46: 1853

    Google Scholar 

  240. Broseta D, Leibler L, Joanny JF (1987) Macromolecules 20: 1935

    Google Scholar 

  241. Onuki A, Hashimoto T (1989) Macromolecules 22: 879

    Google Scholar 

  242. Fukuda T, Nagata M, Inagaki H (1984) Macromolecules 17: 548

    Google Scholar 

  243. Brereton MG, Vilgis TA (1989) J Phys (Paris) 50: 245

    Google Scholar 

  244. Onuki A, Kawasaki CK (1979) Annals of Physics (N.Y.) 121: 456

    Google Scholar 

  245. Imaeda T, Onuki A, Kawasaki K (1984) Progr Theor Phys 71: 16

    Google Scholar 

  246. Pistoor N, Binder K (1988) Colloid & Polymer Sci 266: 132

    Google Scholar 

  247. Pistoor N, Binder K (1988) In: Richter D, Springer T (eds) Polymer motion in dense systems, Springer, Berlin Heidelberg New York, p 285

    Google Scholar 

  248. Hashimoto T, Takebe T, Suehiro S (1988) J Chem Phys 88: 5874

    Google Scholar 

  249. Takebe T, Sawaoka R, Hashimoto T (1989) J Chem Phys 91: 4369

    Google Scholar 

  250. Hashimoto T, Takebe T, Fujioka K (1990) In: Onuki A, Kawasaki K (eds) Dynamics and patterns in complex fluids. Springer, Berlin Heidelberg New York

    Google Scholar 

  251. Binder K (1992) (ed) The Monte Carlo method in condensed matter physics Springer, Berlin Heidelberg, New York

    Google Scholar 

  252. Allen MP, Tildesley DJ (1987) Computer simulation of liquids. Clarendon, Oxford

    Google Scholar 

  253. Ciccotti G, Frenkel D, McDonald IR (1987) (eds) Simulations of liquids and solids. North-Holland, Amsterdam

    Google Scholar 

  254. Olaj OF, Wimmer M, Zifferer G (1990) Makromol Chem Rapid Commun 11: 451

    Google Scholar 

  255. Wang JS, Binder K (1991) J Chem Phys 95: 8537

    Google Scholar 

  256. Rosenbluth MN, Rosenbluth AW (1955) J Chem Phys 23: 256

    Google Scholar 

  257. Deutsch HP, Binder K (1993) J Phys (France) II (in press)

    Google Scholar 

  258. Binder K (1988) Colloid & Polymer Sci 266: 871

    Google Scholar 

  259. Salsburg ZW, Jacobsen DJ, Fickett W, Wood WW (1959) J Chem Phys 30: 64

    Google Scholar 

  260. Ferrenberg AM, Swendsen RH (1988) Phys Rev Lett 61: 2635

    Google Scholar 

  261. Ferrenberg AM, Swendsen RH (1988) Phys Rev Lett 63: 1195

    Google Scholar 

  262. Binder K (1987) Ferroelectrics 73: 43

    Google Scholar 

  263. Privman V (1990) (ed) Finite size scaling and numerical simulation of statistical systems. World Scientific, Singapore

    Google Scholar 

  264. Binder K (1992) Ann Rev Phys Chem 43: 33

    Google Scholar 

  265. Sariban A, Binder K (1989) Colloid & Polymer Sci 267: 469

    Google Scholar 

  266. Deutsch HP (1993) J Chem Phys (in press)

    Google Scholar 

  267. Gauger A, Pakula T (1993) J Chem Phys 98: 3548

    Google Scholar 

  268. Binder K (1981) Z Physik B43: 119

    Google Scholar 

  269. Rovere M, Heermann DW, Binder K (1988) Europhys Lett 6: 585

    Google Scholar 

  270. Rovere M, Heermann DW, Binder K (1990) J Phys: Condensed Matter 2: 7009

    Google Scholar 

  271. Rovere M, Nielaba P, Binder K (1993) Z Phys B 90: 215

    Google Scholar 

  272. Sariban A, Binder K (1993) (To be published)

    Google Scholar 

  273. Binder K, Nauenberg M, Privman V, Young AP (1985) Phys Rev B31: 1498

    Google Scholar 

  274. LeGuillou JC, Zinn-Justin J (1980) Phys Rev B21: 3976

    Google Scholar 

  275. Binder K, Deutsch HP (1992) Europhys Lett 18: 667

    Google Scholar 

  276. Sariban A, Binder K, Heermann DW (1987) Phys Rev B35: 6873

    Google Scholar 

  277. Sariban A, Binder K, Heermann DW (1987) Colloid & Polymer Sci 265: 424

    Google Scholar 

  278. Meier G, Momper B, Fischer EW (1992) J Chem Phys (in press); Momper B, Meier G, Fischer EW (1991) J Noncryst Solids 130: 624

    Google Scholar 

  279. Budkowski A, Steiner U, Klein J, Schatz G (1992) Europhys Lett 18: 705

    Google Scholar 

  280. Chu B, Linliu K, Ying Q, Nose T, Okada M (1992) Phys Rev Lett 68: 3184

    Google Scholar 

  281. Olvera de la Cruz M, Edwards SF, Sanchez IC (1988) J Chem Phys 89: 1704

    Google Scholar 

  282. Freed KF (1988) J Chem Phys 88: 5871

    Google Scholar 

  283. Kumar SK (1992) J Chem Phys 97: 3550

    Google Scholar 

  284. Kumar SK, Szleifer I, Panagiotopoulos AZ (1991) Phys Rev Lett 66: 2935

    Google Scholar 

  285. Kumar SK, Szleifer I, Panagiotopoulos AZ (1992) Phys Rev Lett 68: 3456

    Google Scholar 

  286. Kumar SK (1992) J Chem Phys 96: 1490

    Google Scholar 

  287. Garbella RW, Wendorff JH (1986) Makromol Chem Rapid Comm 7: 591

    Google Scholar 

  288. Jones RAL, Klein J, Donald AM (1986) Nature 321: 16

    Google Scholar 

  289. Composto RJ, Mayer JW, Kramer EJ, White D (1986) Phys Rev Lett 57: 1312

    Google Scholar 

  290. Jordan AE, Ball RC, Donald AM, Fetters LJ, Jones RAL, Klein J (1988) Macromolecules 21: 235

    Google Scholar 

  291. Brautmeier D, Stamm M, Lindner P (1991) J Appl Cryst 24: 665

    Google Scholar 

  292. Bartels CR, Crist B, Fetters LJ, Graessley WW (1986) Macromolecules 19: 785

    Google Scholar 

  293. Stamm M, Hüttenbach S, Reiter G, Springer T (1991) Europhys Lett 14: 451

    Google Scholar 

  294. Stamm M (1992) Adv Polymer Sci 100: 357

    Google Scholar 

  295. Hair DW, Hobbie EK, Douglas J, Han CC (1992) Phys Rev Lett 68: 2476

    Google Scholar 

  296. Sariban A, Binder K (1989) Polymer Commun 30: 205

    Google Scholar 

  297. Baumgärtner A, Heermann DW (1986) Polymer 27: 1777

    Google Scholar 

  298. Forrest BM, Heermann DW (1991) J Phys (France) II1: 909

    Google Scholar 

  299. Kron AK (1965) Polymer Sci USSR 7: 1361

    Google Scholar 

  300. Wall FT, Mandel F (1975) J Chem Phys 63: 4592

    Google Scholar 

  301. Chakrabarti A, Toral R, Gunton JD, Muthukumar M (1989) Phys Rev Lett 63: 2072

    Google Scholar 

  302. Chakrabarti A, Toral R, Gunton JD, Muthukumar M (1990) J Chem Phys 92: 6899

    Google Scholar 

  303. Brown G, Chakrabarti A (1993) J Chem Phys 98: 2451

    Google Scholar 

  304. Thomas EL, Anderson DM, Henke CS, Hoffmann D (1988) Nature 334: 598

    Google Scholar 

  305. Ruland WJ (1971) Appl Crystallogr 4: 70

    Google Scholar 

  306. Helfand E, Tagami Y (1971) J Polym Sci B9: 741

    Google Scholar 

  307. Helfand E, Tagami Y (1972) J Chem Phys 57: 1812

    Google Scholar 

  308. Helfand E (1975) Acc Chem Res 8: 295

    Google Scholar 

  309. Helfand E (1975) J Chem Phys 62: 999

    Google Scholar 

  310. Helfand E (1975) J Chem Phys 63: 2192

    Google Scholar 

  311. Helfand E, Sapse AM (1975) J Chem Phys 62: 1327

    Google Scholar 

  312. Helfand E, Weber TA (1976) Macromoleculels 9: 311

    Google Scholar 

  313. Helfand E (1976) Macromolecules 9: 307

    Google Scholar 

  314. Helfand E, Wasserman ZR (1982) In: Goodman I (ed) Developments in block copolymers I. Applied Science, New York, p 99

    Google Scholar 

  315. Meier DJ (1969) J Polymer Sci C26: 81

    Google Scholar 

  316. Leary DF, Williams MC (1970) J Polymer Sci B8: 335

    Google Scholar 

  317. Anderson DM, Thomas EL (1988) Macromolecules 21: 3221

    Google Scholar 

  318. Bates FS, Rosedale JH, Fredrickson GH, Glinka CJ (1988) Phys Rev Lett 61: 2229

    Google Scholar 

  319. Bates FS, Rosedale JH, Fredrickson GH (1990) J Chem Phys 92: 6255

    Google Scholar 

  320. Almdal K, Rosedale JH, Bates SF, Wignall GD, Fredrickson GH (1990) Phys Rev Lett 65: 1112

    Google Scholar 

  321. Almdal K, Koppi K, Bates SF, Mortensen K (1992) preprint

    Google Scholar 

  322. Gerharz B, Fischer EW, Fytas G (1991) Polymer Commun 32: 469; Gerharz B, Vogt S, Fytas G, Fischer EW (1992) Coll Polym Sci (in press)

    Google Scholar 

  323. Holzer B, Lehmann A, Strobl G, Stühn B, Kowalski M (1991) Polymer 32: 1935

    Google Scholar 

  324. Stühn B, Mutter R, Albrecht T (1992) Europhys Lett 18: 427

    Google Scholar 

  325. Toledano JC, Toledano P (1987) The Landau theory of phase transitions. World Scientific, Singapore

    Google Scholar 

  326. Fried H, Binder K (1991) J Chem Phys 94: 8349

    Google Scholar 

  327. Fried H, Binder K (1991) Europhys Lett 16: 237

    Google Scholar 

  328. Brazovskii SA (1975) Soviet Phys JETP 41: 85

    Google Scholar 

  329. Minchau B, Dünweg B, Binder K (1990) Polymer Comm 31: 348

    Google Scholar 

  330. Barrat JL, Fredrickson GH (1992) J Chem Phys 95: 1281

    Google Scholar 

  331. Vilgis T, Borsali R (1990) Macromolecules 23: 3172

    Google Scholar 

  332. Vilgis T, Borsali R (1991) Phys Rev A43: 6857

    Google Scholar 

  333. Edwards SF (1965) Proc Phys Soc London 85: 613

    Google Scholar 

  334. Tang H, Freed KF (1992) J Chem Phys 96: 8621

    Google Scholar 

  335. Hadziioannou G, Skoulios A (1982) Macromolecules 15: 258

    Google Scholar 

  336. Melenkovitz J, Muthukumar M (1991) Macromolecules 24: 4199

    Google Scholar 

  337. Ramakrishnan TV, Youssouf M (1979) Phys Rev B19: 2775

    Google Scholar 

  338. Oxtoby D W (1990) In: Hansen JP, Levesque D, Zinn-Justin J (ed) Liquids, freezing and the glass transition. North-Holland, Amsterdam

    Google Scholar 

  339. Olvera de la Cruz M, Mayes AM, Swift BW (1992) Macromolecules 25: 944

    Google Scholar 

  340. Holyst R, Schick M (1992) J Chem Phys 96: 7728

    Google Scholar 

  341. Fredrickson GH (1986) J Chem Phys 85: 5306

    Google Scholar 

  342. Onuki A (1987) J Chem Phys 87: 3692

    Google Scholar 

  343. Fredrickson GH, Helfand E (1988) J Chem Phys 89: 5890

    Google Scholar 

  344. Fredrickson GH, Milner ST (1990) In: Safinya CR, Safran PA (ed) MRS Symposium Proceedings, vol 177, Macromolecular liquids, p 169 Material Research Society, Boston

    Google Scholar 

  345. Vilgis TA, Benmouna M (1992) Macromol Chem Theory and Simulations 1: 25

    Google Scholar 

  346. Hashimoto T (1987) Macromolecules 20: 465

    Google Scholar 

  347. Harkless CR, Singh MA, Nagler SE, Stephensen GB, Jordan-Sweet JL (1990) Phys Rev Lett 64: 2285

    Google Scholar 

  348. Kawasaki K, Sekimoto K (1989) Macromolecules 22: 3063

    Google Scholar 

  349. Fredrickson GH, Leibler L (1990) Macromolecules 23: 531

    Google Scholar 

  350. Fredrickson GH, Milner ST (1991) Phys Rev Lett 67: 835

    Google Scholar 

  351. Mayers AM, Olvera de la Cruz M (1989) J Chem Phys 91: 7228

    Google Scholar 

  352. Chakrabarti A, Toral R, Gunton JD (1989) Phys Rev Lett 63: 2661

    Google Scholar 

  353. Oono Y, Bahiana M (1988) Phys Rev Lett 61: 1109

    Google Scholar 

  354. Chakrabarti A, Toral R, Gunton JD (1991) Phys Rev A44: 6503

    Google Scholar 

  355. Wu S (1982) Polymer interfaces and adhesion. Dekker, New York

    Google Scholar 

  356. Kausch HH, Tirell M (1989) Ann Rev Mater Sci 19: 347

    Google Scholar 

  357. Klein J (1990) Science 250: 640

    Google Scholar 

  358. Steiner U, Krausch G, Schatz G, Klein J (1990) Phys Rev Lett 64: 1119

    Google Scholar 

  359. DeGennes PG (1989) C R Hebd Seances Acad Sci Ser B308: 13

    Google Scholar 

  360. Harden JL (1990) J Phys (Paris) 51: 1777

    Google Scholar 

  361. Puri S, Binder K (1991) Phys Rev B44: 9735

    Google Scholar 

  362. Leibler L (1988) Makromol Chem, Macromol Symp 16: 1; Semenov AN (1992) Macromolecules 25: 4967

    Google Scholar 

  363. Broseta D, Fredrickson GH, Helfand E, Leibler L (1990) Macromolecules 23: 123

    Google Scholar 

  364. Carton JP, Leibler L (1990) J Phys (Paris) 51: 1683

    Google Scholar 

  365. Leibler L (1991) Physica A172: 258

    Google Scholar 

  366. Blakely JM (1979) In: Vanselow R (ed) Chemistry and physics of solid surfaces vol 2, CRC Press, Boca Raton, Florida, p 1

    Google Scholar 

  367. Schmidt I, Binder K (1987) Z Physik B67: 369

    Google Scholar 

  368. Binder K, Frisch HL (1991) Z Physik B84: 403

    Google Scholar 

  369. Dietrich S (1988) In: Domb C, Lebowitz L (eds) Phase transitions and critical phenomena, vol 12, Academic, London, p 1

    Google Scholar 

  370. Carmesin I, Noolandi J (1989) Macromolecules 22: 1689

    Google Scholar 

  371. Chen YZ, Noolandi J, Izzo D (1991) Phys Rev Lett 66: 727

    Google Scholar 

  372. Cifra P, Karasz FE, MacKnight WJ (1992) Macromolecules 25: 4895

    Google Scholar 

  373. Wang JS, Binder K (1992) Makromol Chem: Theory and Simulation 1: 49

    Google Scholar 

  374. Fredrickson GH, Donley JP (1992) J Chem Phys 97: 8941

    Google Scholar 

  375. Jones RAL, Norton LJ, Kramer EJ, Bates FS, Wiltzius P (1991) Phys Rev Lett 66: 1326

    Google Scholar 

  376. Puri S, Binder K (1992) Phys Rev A46: R4487; Ball RC, Essery RLH (1990) J Phys: Condensed Matter 2: 10303

    Google Scholar 

  377. Jones RAL, Kramer EJ (1990) Phil Mag B62: 129

    Google Scholar 

  378. Fredrickson GH (1992) In: Sanchez IC (ed) Physics of polymer surfaces and interfaces. Butterworths, Boston

    Google Scholar 

  379. Fredrickson GH (1987) Macromolecules 20: 2535

    Google Scholar 

  380. Tang H, Freed KF (1992) J Chem Phys 97: 4496

    Google Scholar 

  381. Thomas HR, O'Malley J (1979) Macromolecules 12: 323

    Google Scholar 

  382. Hasegawa H, Hashimoto T (1985) Macromolecules 18: 589

    Google Scholar 

  383. Coulon G, Russell TP, Deline VR, Green PF (1989) Macromolecules 22: 2581

    Google Scholar 

  384. Russell TP, Coulon G, Deline VR, Miller DC (1989) Macromolecules 22: 4600

    Google Scholar 

  385. Anastasiadis SH, Russell TP, Satija SK, Majkrzak CF (1989) Phys Rev Lett 62: 1852

    Google Scholar 

  386. Shull KR (1992) Macromolecules 25: 2122

    Google Scholar 

  387. Kikuchi M, Binder K (1993) Europhysics Letter 21: 427

    Google Scholar 

  388. Koizuni S, Hasegawa H, Hashimoto T (1992) Macromol Chem, Macromol Symp 62: 75

    Google Scholar 

  389. Russell TP, Menelle A, Anastasiadis SH, Satija SK, Majkrzak CF (1992) Macromol Chem, Macromol Symp 62: 92

    Google Scholar 

  390. Vilgis TA, Benmouna M, Benoit H (1991) Macromolecules 24: 4481

    Google Scholar 

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Binder, K. (1994). Phase transitions in polymer blends and block copolymer melts: Some recent developments. In: Theories and Mechanism of Phase Transitions, Heterophase Polymerizations, Homopolymerization, Addition Polymerization. Advances in Polymer Science, vol 112. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0017984

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