Skip to main content

Part of the book series: Topics in Applied Physics ((TAP,volume 71))

With 9 Figures

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. K. Binder: In Festkörperprobleme (Advances in Solid State Physics), Vol. 26. ed. by P. Grosse Vieweg, Braunschweig 1986) p. 133

    Google Scholar 

  2. For a review, see T. Mohri, J.M. Sanchez, D.De. Fontaine: Acta Metall. 33, 1171 (1985)

    Article  Google Scholar 

  3. D.W. Heermann: Computer Simulation Methods in Theoretical Physics, 2nd edn. (Springer, Berlin, Heidelberg 1990)

    Google Scholar 

  4. K. Binder D.W. Heermann: Monte Carlo Simulation in Statistical Physics, Springer Ser. Solid-State Sci., Vol. 80 (Springer, Berlin, Heidelberg 1988)

    Google Scholar 

  5. M.H. Kalos, P.A. Whitlock: Monte Carlo Methods, Vol. 1. (Wiley, New York 1986)

    Google Scholar 

  6. H. Gould, J. Tobochnik: An Introduction to Computer Simulation Methods—Application to Physical Systems (Addision-Wesley, Reading, MA 1988)

    Google Scholar 

  7. W.G. Hoover: Molecular Dynamics, Lecture Notes Phys., Vol. 258. (Springer, Berlin, Heidelberg 1986)

    Google Scholar 

  8. M.H. Kalos (ed): Monte Carlo Methods in Quantum Problems. (Reidel, Dordrecht 1984)

    Google Scholar 

  9. M. Suzuki (ed): Quantum Monte Carlo Methods, Springer Ser. Solid-State Sci., Vol. 74 (Berlin, Heidelberg 1987)

    Google Scholar 

  10. J.D. Doll, J.E. Gubernatis (eds.): Quantum Simulations (World Scientific, Singapore 1990)

    Google Scholar 

  11. M.P. Allen, D.J. Tildesley: Computer Simulations of Liquids (Clarendon Oxford 1987); G. Cicotti, D. Frenkel, I.R. McDonald (eds.): Simulation of Liquids and Solids (North-Holland, Amsterdam 1987)

    Google Scholar 

  12. G. Ciccotti, W.G. Hoover (eds.): Molecular-Dynamics Simulation of Statistical Mechanical Systems (North-Holland, Amsterdam 1986)

    Google Scholar 

  13. R.W. Hockney, J.W. Eastwood: Computer Simulation Using Particles (Adam Hilger, Bristol 1988)

    Google Scholar 

  14. B. Bunk, K.H. Mütter, K. Schilling (eds.): Lattice Gauge Theory, A challenge in Large-Scale Computing (Plenum, New York 1986)

    Google Scholar 

  15. T. Vicsek: Fractal Growth Phenomena (World Scientific, Singapore 1989); H.G. Herrmann: Phys. Reps. 136, 153 (1986); P. Meakin: In Phase Transitions and Critical Phenomena, Vol. 12, ed. by C. Domb, J.L. Lebowitz (Academic, New York 1988) Chap. 3

    Google Scholar 

  16. B.J. Alder (ed.): Special Purpose Computers (Academic, New York 1988)

    Google Scholar 

  17. D.W. Heermann, A.N. Burkitt: Parallel Algorithms in Computational Science, Springer Ser, Info. Sci., Vol. 24 (Springer, Berlin, Heidelberg 1991)

    Google Scholar 

  18. D.P. Landau, K.K. Mon, H.B. Schüttler (eds.): Computer Simulation Studies in Condensed Matter Physics I, Springer Proc. Phys., Vol. 33 (Springer, Berlin, Heidelberg 1988)

    Google Scholar 

  19. D.P. Landau, K.K. Mon, H.B. Schüttler, (eds.): Computer Simulation Studies in Condensed Matter Physics II, Springer Proc. Phys., Vol. 45 (Springer, Berlin, Heidelberg 1990)

    Google Scholar 

  20. D.P. Landau, K.K. Mon, H.B. Schüttler (eds.): Computer Simulation Studies in Condensed Matter Physics III, Springer Proc. Phys. Vol. 53 (Springer, Berlin, Heidelberg 1991)

    Google Scholar 

  21. O.G. Mouritsen: Computer Studies of Phase Transitions and Critical Phenomena (Springer, Berlin, Heidelberg 1984)

    Google Scholar 

  22. K. Binder (ed.): Monte Carlo Methods in Statistical Physics Topics, Curt. Phys., Vol. 7, 2nd end. (Springer, Berlin, Heidelberg 1986)

    Google Scholar 

  23. K. Binder (ed.): Applications of the Monte Carlo Method in Statistical Physics, Topics Curr. Phys., Vol. 36, 2nd end. (Springer, Berlin, Heidelberg 1987)

    Google Scholar 

  24. K. Binder: Phys. Rev. Lett. 47, 693 (1981); Z. Physik B 43, 119 (1981)

    Article  Google Scholar 

  25. A. Sariban, K. Binder: J. Chem. Phys. 86, 5859 (1987); Macromolecules 21, 711 (1988)

    Article  Google Scholar 

  26. M. Scheucher, J.D. Reger, K. Binder, A.P. Young: Phys. Rev. B 42, 6881 (1990)

    Article  Google Scholar 

  27. D. Stauffer: Phys. Reps. 54, 1 (1979); Introduction to Percolation Theory (Taylor and Francis, London 1985)

    Article  Google Scholar 

  28. D.H.E. Gross: Rep. Prog. Phys. 53, 605 (1990); H.R. Jaquaman, G. Papp, D.H.E. Gross: Nucl. Phys. A 514, 327 (1990)

    Article  Google Scholar 

  29. R.M. Ziff, E. Gulari, Y. Barshad: Phys. Rev. Lett. 56, 2553 (1986); I. Jensen, H.C. Fogedby, R. Dickman: Phys. Rev. A 41, 3441 (1990)

    Article  PubMed  Google Scholar 

  30. G. Lironis, D.W. Heermann, K. Binder: J. Phys. A 23, L329 (1990); S. Hayward, D.W. Heermann, K. Binder: J. Stat. Phys. 49, 1053 (1987)

    Google Scholar 

  31. S. Katz, J.L. Lebowitz, H. Spohn: Phys. Rev. B 28, 1655 (1983); J. Stat. Phys. 34, 497 (1984); J. Marro, J.L. Lebowitz, H. Spohn, M.H. Kalos: J Stat. Phys. 38, 725 (1985); J.L. Valles, J. Marro: J. Stat Phys. 43, 441 (1986); ibid. 49, 89 (1987); J. Marro, L. Valles, J. Stat. Phys. 49, 121 (1987); M.Q. Zhang, J.-S. Wang. J.L. Lebowitz, J.L. Valles; J. Stat. Phys. 52, 1461 (1988); J.-S. Wang, J.L. Lebowitz, K. Binder: J. Stat. Phys. 56,783 (1989); R. Dickman: Phys. Rev. B 40, 7005 (1989); J.V. Andersen, O.G. Mouritsen: Phys. Rev. Lett. 65, 440 (1990)

    Article  Google Scholar 

  32. For an early review see e.g. K. Binder: Ber. Bunsenges. Phys. Chem. 90, 257 (1986); some later pertinent references are: J.V. Andersen, H. Bohr, O.G. Mouritsen: Phys. Rev. B 42, 283 (1990); P.J. Shah, O.G. Mouritsen: Phys. Rev. B 41, 7003 (1990); O.G. Mouritsen, E. Praestgaard: Phys. Rev. B 38, 2703 (1988); C. Roland, M. Grant: Phys. Rev. Lett. 63, 551 (1989); J.D. Gunton, E.T. Gawlinski, K. Kaski: In Dynamics of Ordering Processes in Condensed Matter, ed. by S. Komura, H. Furukawa (Plenum, New York 1988, p. 101; H.C. Kang, W.H. Weinberg: J. Chem. Phys. 90, 2824 (1989); C. Roland, M. Grant: Phys. Rev. B 41, 4646 (1990); J. Vinals, M. Grant: Phys. Rev. B 36, 7036 (1987); H.F. Poulsen, N.H. Andersen, J.V. Andersen, H. Bohr, O.G. Mouritsen: Phys. Rev. Lett. 66, 465 (1991)

    Google Scholar 

  33. See. e.g. J. Amar, F. Sullivan, R.D. Mountain: Phys. Rev. B 37, 196 (1988); A. Milchev, D. Heermann, K. Binder: Acta Metall. 36, 377 (1988); T.M. Rogers, K.R. Elder, R.C. Desai: Phys. Rev. B 37, 9638 (1988); S. Puri, Y. Oono: Phys. Rev. A 38, 1542 (1988); E.T. Gawlinski, J.D. Gunton, J. Vinils: Phys. Rev. B 39, 7266 (1989); K. Yaldram, K. Binder: Acta Metall. 39, 707 (1991); J. Stat. Phys. 62, 161 (1991); M. Laradji, M. Grant, M.J. Zuckermann, W. Klein: Phys. Rev. B 41, 4646 (1990); C. Roland, M. Grant: Phys.. Rev. B 39, 11971 (1989); Phys. Rev. Lett. 60, 2657 (1988)

    Article  Google Scholar 

  34. K.W. Kehr, K. Binder, S.M. Reulein: Phys. Rev. B 39, 4891 (1989); R. Czech: J. Chem. Phys. 91, 2498 (1989); J.W. Haus, K.W. Kehr: Phys. Reps. 150, 263 (1987)

    Article  Google Scholar 

  35. See e.g. B. Dünweg, K. Binder: Phys. Rev. B 36, 6935 (1987); H.T. Diep, A. Ghazali, B. Berge, P. Lallemand: Europhys. Lett. 2, 603 (1986); U. Gahn: J. Phys. Chem. Solids 47, 1153 (1986)

    Article  Google Scholar 

  36. For a recent review, see K. Binder, D.P. Landau: in Molecule-Surface Interactions, ed. by K.P. Lawley (Wiley, New York 1989) p. 91

    Google Scholar 

  37. Some of this work will be reviewed in later chapters of this book. See also P.-A. Lindgard, O.G. Mouritsen: Phys. Rev. B 41, 688 (1990); A.A. Aligia, A.G. Rojo, B.R. Alascio: Phys. Rev. B 38, 6604 (1988); Z.-X. Cai, S.D. Mahanti: Solid State Commun. 67, 287 (1988); Phys. Rev. B 40, 6558 (1989); C.P. Burmester, L.J. Wille: Phys. Rev. B 40, 8795 (1989); N.C. Bartelt. T.L. Einstein, L.T. Wille: Phys. Rev. B 40, 10759 (1989); T. Aukrust, M.A. Novotny, P.A. Rikvold, D.P. Landau: Phys. Rev. B 41, 8772 (1990); A. Milchev, B, Dünweg, P.A. Rikvold: J. Chem. Phys. 94, 3958 (1991); O.G. Mouritsen: Chem. Phys. Lipids, 57, 179 (1991); R.M. Nowotny, K. Binder: Z. Phys. B 77, 287 (1989); J.H. Ipsen, O.G. Mouritsen, M.J. Zuckermann: J. Chem. Phys. 91, 1855 (1989)

    Article  Google Scholar 

  38. M. Suzuki: J. Phys. Soc. Jpn. 55, 4205 (1986); M. Suzuki, M. Katori, X. Hu: J. Phys. Soc. Jpn. 56, 3092 (1987); X. Hu, M. Katori, M. Suzuki: J. Phys. Soc. Jpn. 56, 3865 (1987); X. Hu, M. Suzuki: J. Phys. Soc. Jpn. 57, 791 (1988); M. Katori, M. Suzuki: J. Phys. Soc. Jpn. 57,807 (1988); M. Suzuki: Prog. Theor. Phys. Suppl. 87,1(1986); Phys. Lett A 127,440 (1988)

    Article  Google Scholar 

  39. M. Katori, M. Suzuki: J. Phys. Soc. Jpn. 56, 3113 (1987); N. Ito, M. Suzuki: Phys. B 43, 3483 (1991); A. Patrykiejew, P. Borowski: Phys. Rev. B 42, 4670 (1990)

    Article  Google Scholar 

  40. V. Privman (ed.): Finite-Size Scaling and Numerical Simulations of Statistical Systems (World Scientific, Singapore 1990)

    Google Scholar 

  41. K. Binder: [Ref. 1.23 Chap. 1]

    Google Scholar 

  42. V. Privman, M.E. Fisher: J. Stat. Phys. 33, 385 (1983)

    Article  Google Scholar 

  43. K. Binder, D.P. Landau: Phys. Rev. B 30, 1477 (1984)

    Article  Google Scholar 

  44. M.E. Fisher, V. Privman: Phys. Rev. B 32, 447 (1985)

    Article  Google Scholar 

  45. For a general review on a first-order phase transitions see K. Binder: Reps. Prog. Phys. 50, 783 (1987)

    Article  Google Scholar 

  46. R.B. Potts: Proc. Cambridge Philos. Soc. 48, 106 (1952); for a review, see F.Y. Wu: Revs. Mod. Phys. 54, 235 (1982)

    Google Scholar 

  47. R.J. Baxter: J. Phys. C 6, L445 (1973); T. Kihara, Y. Midzuno, T. Shizume: J. Phys. Soc. Jpn. 9, 681 (1954)

    Google Scholar 

  48. M.S.S. Challa, D.P. Landau, K. Binder: Phys. Rev. B 34, 1841 (1986)

    Article  Google Scholar 

  49. C. Borgs, R. Kotecky: J. Stat. Phys. 61, 79 (1990)

    Article  Google Scholar 

  50. C. Borgs, R. Kotecky, S. Miracle-Sole: J. Stat. Phys. 62, 529 (1990)

    Article  Google Scholar 

  51. V. Privman, J. Rudnick: J. Stat. Phys. 60, 551 (1990)

    Article  MathSciNet  Google Scholar 

  52. J. Lee, J.M. Kosterlitz: Phys. Rev. B 43, 3265 (1991); 1268 (1991)

    Article  Google Scholar 

  53. P. Peczak, D.P. Landau: Phys. Rev. B 39, 11932 (1989)

    Article  Google Scholar 

  54. J. Lee, J.M. Kosterlitz: Phys. Rev. Lett. 65, 137 (1990); M. Fukugita, H. Mino, M. Okawa, A. Ukawa: J. Stat. Phys. 59, 1397 (1990)

    Article  PubMed  Google Scholar 

  55. M.S.S. Challa, J.H. Hetherington: Phys. Rev. Lett. 60, 77 (1988); Phys. Rev. A 38, 6324 (1988)

    Article  PubMed  Google Scholar 

  56. M. Rovere, D.W. Heermann, K. Binder: J. Phys. Cond. Matter 2, 7009 (1990)

    Article  Google Scholar 

  57. M. Rovere, D.W. Heermann, K. Binder: Europhys. Lett. 6, 585 (1988)

    Google Scholar 

  58. K. Binder: Z. Phys. B 43, 119 (1981); K. Kaski, K. Binder, J.D. Gunton: Phys. Rev. B 29, 3996 (1984)

    Article  Google Scholar 

  59. K. Strandburg, J.A. Zollweg, G.V. Chester: Phys. Rev. B 30, 2755 (1984)

    Article  Google Scholar 

  60. R.C. Desai, D.W. Heermann, K. Binder: J. Stat. Phys. 53, 795 (1988)

    Article  Google Scholar 

  61. M. Creutz: Phys. Rev. Lett. 50, 1411 (1983); D. Callaway, A. Rahman: Phys. Rev. Lett. 49, 613 (1982)

    Article  Google Scholar 

  62. R. Harris: Phys. lett. 111A, 299 (1985)

    Article  Google Scholar 

  63. G. Bhanot, M. Creutz, H. Neuberger: Nucl. Phys. B 235 [FS 11], 417 (1984)

    Article  Google Scholar 

  64. K. Binder, J.-S. Wang: J. Stat. Phys. 55, 87 (1989)

    Article  Google Scholar 

  65. E.V. Albano, K. Binder, D.W. Heermann, W. Paul: Z. Phys. B 77, 445 (1989)

    Article  Google Scholar 

  66. E.V. Albano, K. Binder, D.W. Heermann, W. Paul: J. Stat. Phys. 61, 161 (1990)

    Article  Google Scholar 

  67. R.M. Hornreich, M. Luban, S. Shtrikman: Phys. Rev. Lett. 35, 1678 (1975)

    Article  Google Scholar 

  68. For a review see S. Dietrich: In Phase Transitions and Critical Phenomena, Vol. 12, ed. by C. Domb, J.L. Lebowitz (Academic, New York 1988, p. 1)

    Google Scholar 

  69. K. Binder: [Ref. 1.40 p. 173]

    Google Scholar 

  70. A.M. Ferrenberg, D.P. Landau, K. Binder: J. Stat. Phys. 63, 867 (1991)

    Article  Google Scholar 

  71. H. Müller-Krumbhaar, K. Binder: J. Stat. Phys. 8, 1 (1973)

    Article  Google Scholar 

  72. A. Milchev, K. Binder, D.W. Heermann: Z. Phys. B 63, 521 (1986)

    Article  Google Scholar 

  73. For a reviews of critical phenomena, see: M.E. Fisher: Rev. Mod. Phys. 46, 597 (1974); P.C. Hohenberg, B.I. Halperin: Rev. Mod. Phys. 49, 435 (1977)

    Article  Google Scholar 

  74. For example, see H.W. Alexander: Elements of Mathematical Statistics (Wiley, New York 1961)

    Google Scholar 

  75. G.S. Pawley, R.H. Swendsen, D.J. Wallace, K.G. Wilson. Phys. Rev. B 29, 4030 (1984); H.W.J. Blöte, J. de Bruin, A. Compagner, J.H. Croockewit, Y.T.J.C. Fonk, J.R. Heringa, A. Hoogland, A.L. Willigen: Europhys. Lett. 10, 105 (1989); H.W.J. Blöte, A. Compagner, J.H. Croockewit, Y.T.J.C. Fonk, J.R. Heringa, T.S. Smit, A.L. van Willigen: Physica A 161, 1 (1989); A.J. Liu, M.E. Fisher: Physica A 156, 35 (1989), and references therein

    Article  Google Scholar 

  76. S. Wansleben: Comput. Phys. Commun. 43, 315 (1987)

    Article  Google Scholar 

  77. H. Flyvbjerg. H.G. Petersen: J. Chem. Phys. 91, 461 (1989)

    Article  Google Scholar 

  78. C. Whitmer: Phys. Rev. D 29, 306 (1984); S. Gottlieb, P.B. Mackenzie, H.B. Thacker, D. Weingarten: Nucl. Phys. B 263, 704. (1986)

    Article  Google Scholar 

  79. For a recent review see D.P. Landau, S. Tang: J. de Phys. 49, C8-1525 (1988), and Chap. 2 of this book

    Google Scholar 

  80. N. Madras, A. Sokal: J. Stat. Phys. 50, 109 (1988), and references therein

    Article  Google Scholar 

  81. W. Schleier, G. Besold, K. Heinz: J. Stat. Phys. 66, 1101 (1992)

    Article  Google Scholar 

  82. H.C. Kang, W.H. Weinberg: J. Chem. Phys. 90, 2824 (1989)

    Article  Google Scholar 

Download references

Authors

Editor information

Kurt Binder

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer-Verlag

About this chapter

Cite this chapter

Binder, K. (1992). Introduction. In: Binder, K. (eds) The Monte Carlo Method in Condensed Matter Physics. Topics in Applied Physics, vol 71. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60174-0_1

Download citation

  • DOI: https://doi.org/10.1007/3-540-60174-0_1

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60174-6

  • Online ISBN: 978-3-540-44664-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics