Skip to main content
Log in

Experimental Critical-Exponent Values for Fluids

  • Published:
Journal of Statistical Physics Aims and scope Submit manuscript

Abstract

After a review of the history and an assessment of the current status of the subject, we present light-scattering data to determine the critical correlation-function exponents for an aqueous electrolyte solution yielding the experimental values γ=1.238±0.012, ν=0.629±0.003, η=0.032±0.013. We conclude the paper with some comments concerning the temperature dependence of non-asymptotic effective critical-exponent values of fluids.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Fairbank, W.M., Buckingham, M.J., Kellers, C.F.: In: Dillinger, J.R. (ed.) Proc. 5th International Conference on Low Temperature Physics, p. 50. University of Wisconsin Press, Madison (1957)

    Google Scholar 

  2. Buckingham, M.J., Fairbank, W.M.: In: Gorter, C.J. (ed.) Progress in Low Temperature Physics, vol. III, p. 86. North Holland, Amsterdam (1961)

    Google Scholar 

  3. Onsager, L.: Phys. Rev. 65, 117–149 (1944)

    MATH  ADS  MathSciNet  Google Scholar 

  4. Bagataskii, M.I., Voronel, A.V., Gusak, V.G.: Z. Eksp. Teor. Fiz. 43, 728–729 (1962) [English translation: Sov. Phys. JETP 16, 517–518 (1963)]

    Google Scholar 

  5. Voronel, A.V., Chaskin, Yu., Popov, V.A., Simkon, V.G.: Z. Eksp. Teor. Fiz. 45, 828–830 (1963) [English translation: Sov. Phys. JETP 18, 568–569 (1964)]

    Google Scholar 

  6. Sengers, J.V., Michels, A.: In: Masi, J.F., Tsai, D.H. (eds.) Proc. 2nd Symposium on Thermophysical Properties, pp. 434–440. American Society of Mechanical Engineers, New York (1962)

    Google Scholar 

  7. Moldover, M.R., Little, W.A.: Phys. Rev. Lett. 15, 54–56 (1965)

    ADS  Google Scholar 

  8. Green, M.S., Sengers, J.V. (eds.): Proceedings of a Conference Held in Washington, D.C., April 1965. National Bureau of Standards Miscellaneous Publ., vol. 273. U.S. Government Printing Office, Washington (1966)

    Google Scholar 

  9. Fisher, M.E.: In: Green, M.S., Sengers, J.V. (eds.) Proceedings of a Conference Held in Washington, D.C., April 1965. National Bureau of Standards Miscellaneous Publ., vol. 273, pp. 21–26. U.S. Government Printing Office, Washington (1966)

    Google Scholar 

  10. Kadanoff, L.P.: In: Green, M.S. (ed.) Critical Phenomena. Varenna Lectures, Course LI, pp. 100–117. Academic Press, New York (1971)

    Google Scholar 

  11. Fisher, M.E.: Rev. Mod. Phys. 46, 597–616 (1974)

    ADS  Google Scholar 

  12. Kadanoff, L.P.: In: Domb, C., Green, M.S. (eds.) Phase Transitions and Critical Phenomena, vol. 5a, pp. 1–34. Academic Press, New York (1976)

    Google Scholar 

  13. Wilson, K.G.: Sci. Am. 241, 158–179 (1979)

    Article  Google Scholar 

  14. Wilson, K.G.: Rev. Mod. Phys. 55, 583–600 (1983)

    ADS  Google Scholar 

  15. Fisher, M.E.: Rev. Mod. Phys. 70, 653–681 (1998)

    ADS  Google Scholar 

  16. Heller, P.: Rep. Prog. Phys. XXX(II), 731–826 (1967)

    ADS  Google Scholar 

  17. Kadanoff, L.P., Götze, W., Hamblen, D., Hecht, R., Lewis, E.A., Palciauskas, V.V., Rayl, M., Swift, J.: Rev. Mod. Phys. 39, 395–431 (1967)

    ADS  Google Scholar 

  18. Egelstaff, P.A., Ring, J.W.: In: Temperley, H.N.V., Rowlinson, J.S., Rushbrooke, G.S. (eds.) Physics of Simple Liquids, pp. 253–297. North-Holland, Amsterdam (1968)

    Google Scholar 

  19. Chu, B.: Ber. Bunsenges. Phys. Chem. 76, 202–215 (1972)

    Google Scholar 

  20. Anisimov, M.A.: Usp. Fiz. Nauk 114, 249–294 (1974) [English translation: Sov. Phys. Usp. 17, 722–744 (1975)]

    Google Scholar 

  21. Wallace, B., Meyer, H.: Phys. Rev. A 2, 1563–1575 (1970)

    ADS  Google Scholar 

  22. Weber, L.: Phys. Rev. A 2, 2379–2388 (1970)

    ADS  Google Scholar 

  23. Levelt Sengers, J.M.H., Sengers, J.V.: Phys. Rev. A 12, 2622–2627 (1975)

    ADS  Google Scholar 

  24. Balzarini, D., Ohrn, K.: Phys. Rev. Lett. 29, 840–842 (1972)

    ADS  Google Scholar 

  25. Schmidt, E.H.W.: In: Green, M.S., Sengers, J.V. (eds.) Proceedings of a Conference Held in Washington, D.C., April 1965. National Bureau of Standards Miscellaneous Publ., vol. 273, pp. 13–20. U.S. Government Printing Office, Washington (1966)

    Google Scholar 

  26. Moldover, M.R., Sengers, J.V., Gammon, R.W., Hocken, R.J.: Rev. Mod. Phys. 51, 79–99 (1979)

    ADS  Google Scholar 

  27. Green, M.S., Vicentini-Missoni, M., Levelt Sengers, J.M.H.: Phys. Rev. Lett. 18, 1113–1117 (1967)

    ADS  Google Scholar 

  28. Widom, B.: J. Chem. Phys. 43, 3898–3905 (1965)

    ADS  Google Scholar 

  29. Wilcox, L.R., Balzarini, D.: J. Chem. Phys. 48, 753–763 (1968)

    ADS  Google Scholar 

  30. Hocken, R., Moldover, M.R.: Phys. Rev. Lett. 37, 29–32 (1976)

    ADS  Google Scholar 

  31. Levelt Sengers, A., Hocken, R., Sengers, J.V.: Phys. Today 30(12), 42–51 (1977)

    ADS  Google Scholar 

  32. Wegner, F.J.: Phys. Rev. B 5, 4529–4536 (1972)

    ADS  Google Scholar 

  33. Greer, S.C.: Phys. Rev. A 14, 1770–1780 (1976)

    ADS  Google Scholar 

  34. Wims, A.M., McIntyre, D., Hynne, F.: J. Chem. Phys. 50, 616–620 (1969)

    ADS  Google Scholar 

  35. Camp, W.J., Saul, D.M., Van Dyke, J.P., Wortis, M.: Phys. Rev. B 14, 3990–4001 (1976)

    ADS  Google Scholar 

  36. Chang, R.F., Burstyn, H., Sengers, J.V., Bray, A.J.: Phys. Rev. Lett. 37, 1481–1484 (1976)

    ADS  Google Scholar 

  37. Chang, R.F., Burstyn, H., Sengers, J.V.: Phys. Rev. A 19, 866–882 (1979)

    ADS  Google Scholar 

  38. Baker, G.A. Jr., Nickel, B.G., Green, M.S., Meiron, D.I.: Phys. Rev. Lett. 36, 1351–1354 (1976)

    ADS  Google Scholar 

  39. Levy, M., Le Guillou, J.-C., Zinn-Justin, J. (eds.): Phase Transitions Cargèse 1980. Plenum, New York (1982)

    Google Scholar 

  40. Nickel, B.G.: In: Levy, M., Le Guillou, J.-C., Zinn-Justin, J. (eds.) Phase Transitions Cargèse 1980, pp. 291–324. Plenum, New York (1982)

    Google Scholar 

  41. Moldover, M.R.: Phys. Rev. 182, 342–352 (1969)

    ADS  Google Scholar 

  42. Lipa, J.A., Edwards, C., Buckingham, M.J.: Phys. Rev. Lett. 25, 1086–1090 (1970)

    ADS  Google Scholar 

  43. Lai, C.C., Chen, S.H.: Phys. Lett. A 41, 259–260 (1972)

    ADS  Google Scholar 

  44. Thiel, D., Chu, B., Stein, A., Allen, G.: J. Chem. Phys. 62, 3689–3711 (1975)

    ADS  Google Scholar 

  45. Cannell, D.S.: Phys. Rev. A 12, 225–231 (1975)

    ADS  Google Scholar 

  46. Lipa, J.A., Edwards, C., Buckingham, M.J.: Phys. Rev. A 15, 778–789 (1977)

    ADS  Google Scholar 

  47. Jacobs, D.T., Anthony, D.J., Mockler, R.C., O’Sullivan, W.J.: Chem. Phys. 20, 219–226 (1977)

    Google Scholar 

  48. Nakata, M., Dobashi, T., Kuwara, N., Kaneko, M., Chu, B.: Phys. Rev. A 18, 2683–2688 (1978)

    ADS  Google Scholar 

  49. Beysens, D.: J. Chem. Phys. 71, 2557–2565 (1979)

    ADS  Google Scholar 

  50. Beysens, D., Bourgou, A.: Phys. Rev. A 19, 2407–2420 (1979)

    ADS  Google Scholar 

  51. Balzarini, D., Burton, M.: Can. J. Phys. 57, 1516–1517 (1979)

    ADS  Google Scholar 

  52. Pittman, C., Doiron, T., Meyer, H.: Phys. Rev. B 20, 3678–3689 (1979)

    ADS  Google Scholar 

  53. Nagarajan, N., Kumar, A., Gopal, E.S.R., Greer, S.C.: J. Phys. Chem. 84, 2883–2887 (1980)

    Google Scholar 

  54. Bloemen, E., Thoen, J., Van Dael, W.: J. Chem. Phys. 73, 4628–4635 (1980)

    ADS  Google Scholar 

  55. Thijsse, B.J.: J. Chem. Phys. 74, 4678–4692 (1981)

    ADS  Google Scholar 

  56. Güttinger, H., Cannell, D.S.: Phys. Rev. A 24, 3188–3201 (1981)

    ADS  Google Scholar 

  57. Beysens, D., Bourgou, A., Calmettes, P.: Phys. Rev. A 26, 3589–3609 (1982)

    ADS  Google Scholar 

  58. Beysens, D.: In: Levy, M., Le Guillou, J.-C., Zinn-Justin, J. (eds.) Phase Transitions Cargèse 1980, pp. 25–62. Plenum, New York (1982)

    Google Scholar 

  59. Moldover, M.R.: In: Levy, M., Le Guillou, J.-C., Zinn-Justin, J. (eds.) Phase Transitions Cargèse 1980, pp. 63–94. Plenum, New York (1982)

    Google Scholar 

  60. Sengers, J.V.: In: Levy, M., Le Guillou, J.-C., Zinn-Justin, J. (eds.) Phase Transitions Cargèse 1980, pp. 95–135. Plenum, New York (1982)

    Google Scholar 

  61. Ahlers, G.: In: Levy, M., Le Guillou, J.-C., Zinn-Justin, J. (eds.) Phase Transitions Cargèse 1980, pp. 1–23. Plenum, New York (1982)

    Google Scholar 

  62. Anisimov, M.A., Voronel, A.V., Ovodova, T.M.: Z. Eksp. Teor. Fiz. 61, 1092–1100 (1971) [English translation: Sov. Phys. JETP 34, 583–587 (1972)]

    Google Scholar 

  63. Anisimov, M.A., Gorodetskii, E.E., Shmakov, N.G.: Z. Eksp. Teor. Fiz. 63, 2165–2179 (1972) [English translation: Sov. Phys. JETP 36, 1143–1150 (1973)]

    Google Scholar 

  64. Anisimov, M.A., Berestov, A.T., Voronov, V.P., Kiachenko, Yu.F., Koval’chuk, B.A., Malyshev, V.M., Smirnov, V.A.: Z. Eksp. Teor. Fiz. 76, 1661–1669 (1979) [English translation: Sov. Phys. JETP 49, 844–848 (1979)]

    Google Scholar 

  65. Anisimov, M.A.: Critical Phenomena in Liquids and Liquid Crystals. Gordon and Breach, Philadelphia (1991)

    Google Scholar 

  66. Greer, S.C., Moldover, M.R.: Ann. Rev. Phys. Chem. 32, 233–265 (1981)

    ADS  Google Scholar 

  67. Corti, M., Degiorgio, V.: Phys. Rev. Lett. 45, 1045–1048 (1980)

    ADS  Google Scholar 

  68. Corti, M., Degiorgio, V., Zulauf, M.: Phys. Rev. Lett. 48, 1617–1620 (1982)

    ADS  Google Scholar 

  69. Corti, M., Minero, C., Degiorgio, V.: J. Phys. Chem. 88, 309–317 (1984)

    Google Scholar 

  70. Degiorgio, V., Piazza, R., Corti, M., Minero, C.: J. Chem. Phys. 82, 1025–1031 (1985)

    ADS  Google Scholar 

  71. Corti, M., Degiorgio, V.: Phys. Rev. Lett. 55, 2005–2008 (1985)

    ADS  Google Scholar 

  72. Fisher, M.E.: Phys. Rev. Lett. 57, 1911–1914 (1986)

    ADS  Google Scholar 

  73. Dietler, G., Cannell, D.S.: Phys. Rev. Lett. 60, 1852–1855 (1988)

    ADS  Google Scholar 

  74. Hamano, K., Kaneko, T., Fukuhara, K., Kuwahara, N.: Int. J. Thermophys. 10, 389–396 (1989)

    Google Scholar 

  75. Hamano, K., Kuwahara, N., Mitsushima, I., Kubota, K., Kamura, T.: J. Chem. Phys. 94, 2172–2175 (1991)

    ADS  Google Scholar 

  76. Rouch, J., Tartaglia, P., Safouane, A., Chen, S.H.: Phys. Rev. A 40, 2013–2021 (1989)

    ADS  Google Scholar 

  77. Singh, R.R., Pitzer, K.S.: J. Am. Chem. Soc. 110, 8723–8724 (1988)

    Google Scholar 

  78. Singh, R.R., Pitzer, K.S.: J. Chem. Phys. 92, 6775–6778 (1990)

    ADS  Google Scholar 

  79. Zhang, K.C., Briggs, M.E., Gammon, R.W., Levelt Sengers, J.M.H.: J. Chem. Phys. 97, 8692–8697 (1992)

    ADS  Google Scholar 

  80. Zhang, K.C., Briggs, M.E., Gammon, R.W., Levelt Sengers, J.M.H.: J. Chem. Phys. 105, 4397 (1996)

    ADS  Google Scholar 

  81. Pitzer, K.S.: Acc. Chem. Res. 23, 333–338 (1990)

    Google Scholar 

  82. Fisher, M.E.: J. Stat. Phys. 75, 1–36 (1994)

    ADS  Google Scholar 

  83. Wiegand, S., Levelt Sengers, J.M.H., Zhang, K.J., Briggs, M.E., Gammon, R.W.: J. Chem. Phys. 106, 2777–2781 (1997)

    ADS  Google Scholar 

  84. Wiegand, S., Briggs, M.E., Levelt Sengers, J.M.H., Kleemeier, M., Schröer, W.: J. Chem. Phys. 109, 9038–9051 (1998)

    ADS  Google Scholar 

  85. Kostko, A.F., Anisimov, M.A., Sengers, J.V.: Phys. Rev. E 70, 026118 (2004)

    ADS  Google Scholar 

  86. Anisimov, M.A., Jacob, J., Kumar, A., Agayan, V.A., Sengers, J.V.: Phys. Rev. Lett. 85, 2336–2339 (2000)

    ADS  Google Scholar 

  87. Schröer, W., Wiegand, S., Weingärtner, H.: Ber. Bunsenges. Phys. Chem. 97, 975–982 (1993)

    Google Scholar 

  88. Wiegand, S., Kleemeier, M., Schröder, J.M., Schröer, W., Weingärtner, H.: Int. J. Thermophys. 15, 1045–1056 (1994)

    Google Scholar 

  89. Kleemeier, M., Schröer, W., Weingärtner, H.: J. Mol. Liq. 73–74, 501–511 (1997)

    Google Scholar 

  90. Kleemeier, M., Wiegand, S., Schröer, W.: J. Chem. Phys. 110, 3085–3099 (1999)

    ADS  Google Scholar 

  91. Wagner, M., Stanga, O., Schröer, W.: Phys. Chem. Chem. Phys. 5, 1225–1234 (2003)

    Google Scholar 

  92. Wagner, M., Stanga, O., Schröer, W.: Phys. Chem. Chem. Phys. 6, 580–589 (2004)

    Google Scholar 

  93. Schröer, W., Wagner, M., Stanga, O.: J. Mol. Liq. 127, 2–9 (2006)

    Google Scholar 

  94. Japas, M.L., Levelt Sengers, J.M.H.: J. Phys. Chem. 94, 5361–5368 (1990)

    Google Scholar 

  95. Bonetti, M., Bagnuls, C., Bervillier, C.: J. Chem. Phys. 107, 550–561 (1997)

    ADS  Google Scholar 

  96. Gutkowski, K.I., Bianchi, H.L., Japas, M.L.: J. Chem. Phys. 118, 2808–2814 (2003)

    ADS  Google Scholar 

  97. Van Roie, B., Pitsi, G., Thoen, J.: J. Chem. Phys. 119, 8047–8051 (2003)

    ADS  Google Scholar 

  98. Madhavan Unni, P.K.: J. Chem. Phys. 124, 054505 (2006)

    ADS  Google Scholar 

  99. Martín, A., López, I., Monroy, F., Casielles, A.G., Ortega, F., Rubio, R.G.: J. Chem. Phys. 101, 6874–6879 (1994)

    ADS  Google Scholar 

  100. Levelt Sengers, J.M.H., Harvey, A.H., Wiegand, S.: In: Sengers, J.V., Kayser, R.F., Peters, C.J., White, H.J. Jr. (eds.) Equations of State of Fluids and Fluid Mixtures, pp. 805–847. Elsevier, Amsterdam (2000)

    Google Scholar 

  101. Fisher, M.E.: In: Hahne, F.J.W. (ed.) Critical Phenomena. Lecture Notes in Physics, vol. 186, pp. 1–139. Springer, Berlin (1983)

    Google Scholar 

  102. Fisher, M.E.: J. Math. Phys. 5, 944–962 (1964)

    ADS  Google Scholar 

  103. Fisher, M.E., Burford, R.J.: Phys. Rev. 156, 583–622 (1967)

    ADS  Google Scholar 

  104. Pelissetto, A., Vicari, E.: Phys. Rep. 368, 549–727 (2002)

    MATH  ADS  MathSciNet  Google Scholar 

  105. Lee, T.D., Yang, C.N.: Phys. Rev. 87, 410–419 (1952)

    MATH  ADS  MathSciNet  Google Scholar 

  106. Fisher, M.E.: Rep. Prog. Phys. 30(II), 615–730 (1967)

    ADS  Google Scholar 

  107. Fisher, M.E., Orkoulas, G.: Phys. Rev. Lett. 85, 696–699 (2000)

    ADS  Google Scholar 

  108. Orkoulas, G., Fisher, M.E., Üstün, C.: J. Chem. Phys. 113, 7530–7545 (2000)

    ADS  Google Scholar 

  109. Orkoulas, G., Fisher, M.E., Panagiotopoulos, A.Z.: Phys. Rev. E 63, 051507 (2001)

    ADS  Google Scholar 

  110. Kim, Y.C., Fisher, M.E., Orkoulas, G.: Phys. Rev. E 67, 061506 (2003)

    ADS  Google Scholar 

  111. Kim, Y.C., Fisher, M.E.: Chem. Phys. Lett. 414, 185–192 (2005)

    ADS  Google Scholar 

  112. Anisimov, M.A., Wang, J.T.: Phys. Rev. Lett. 13, 025703 (2006)

    ADS  Google Scholar 

  113. Wang, J.T., Anisimov, M.A.: Phys. Rev. E 75, 051107 (2007)

    ADS  Google Scholar 

  114. Cerdeiriña, C.A., Anisimov, M.A., Sengers, J.V.: Chem. Phys. Lett. 424, 414–419 (2006)

    ADS  Google Scholar 

  115. Wang, J.T., Cerdeiriña, C.A., Anisimov, M.A., Sengers, J.V.: Phys. Rev. E 77, 031127 (2008)

    ADS  Google Scholar 

  116. Behnejad, H., Sengers, J.V., Anisimov, M.A., In: Goodwin, A.H., Sengers, J.V., Peters, C.J. (eds.) Applied Thermodynamics. Royal Society of Chemistry, Cambridge (in press)

  117. Mermin, N.D.: Phys. Rev. Lett. 26, 957–959 (1971)

    ADS  Google Scholar 

  118. Rehr, J.J., Mermin, N.D.: Phys. Rev. A 8, 472–480 (1973)

    ADS  Google Scholar 

  119. Wheeler, J.C.: Ann. Rev. Phys. Chem. 28, 411–443 (1977)

    ADS  Google Scholar 

  120. Kumar, A., Krishnamurthy, H.R., Gopal, E.S.R.: Phys. Rep. 98, 57–143 (1983)

    ADS  Google Scholar 

  121. Sanchez, G., Meichle, M., Garland, C.W.: Phys. Rev. A 28, 1647–1653 (1983)

    ADS  Google Scholar 

  122. Thoen, J., Hamelin, J., Bose, T.K.: Phys. Rev. E 53, 6264–6270 (1996)

    ADS  Google Scholar 

  123. Fleweling, A.C., DeFonseka, R.J., Khaleeli, N., Partee, J., Jacobs, D.T.: J. Chem. Phys. 104, 8048–8057 (1996)

    ADS  Google Scholar 

  124. Rebillot, P.F., Jacobs, D.T.: J. Chem. Phys. 109, 4009–4014 (1998)

    ADS  Google Scholar 

  125. Haupt, A., Straub, J.: Phys. Rev. E 59, 1795–1802 (1999)

    ADS  Google Scholar 

  126. Nowicki, A.W., Ghosh, M., McClellan, S.M., Jacobs, D.T.: J. Chem. Phys. 114, 4625–4633 (2001)

    ADS  Google Scholar 

  127. Oby, E.R., Jacobs, D.T.: J. Chem. Phys. 114, 4918–4921 (2001)

    ADS  Google Scholar 

  128. Utt, N., Lehman, S.Y., Jacobs, D.T.: J. Chem. Phys. 127, 104505 (2007)

    ADS  Google Scholar 

  129. Cerdeiriña, C.A., Troncoso, J., Carballo, E., Romaní, L.: Phys. Rev. E 66, 031507 (2002)

    ADS  Google Scholar 

  130. Troncoso, J., González-Salgado, D., Cerdeiriña, C.A., Carballo, E., Romaní, L.: Phys. Rev. E 71, 021503 (2005)

    ADS  Google Scholar 

  131. Handschy, M.A., Mockler, R.C., O’Sullivan, W.J.: Chem. Phys. Lett. 76, 172–174 (1980)

    ADS  Google Scholar 

  132. Shelton, J., Balzarini, D.A.: Can. J. Phys. 59, 934–935 (1981)

    ADS  Google Scholar 

  133. de Bruyn, J.R., Balzarini, D.A.: Phys. Rev. B 39, 9243–9251 (1989)

    ADS  Google Scholar 

  134. Närger, U., Balzarini, D.A.: Phys. Rev. B 39, 9330–9335 (1989)

    ADS  Google Scholar 

  135. Pestak, M.W., Chan, M.H.W.: Phys. Rev. B 30, 274–288 (1984)

    ADS  Google Scholar 

  136. Houessou, C., Guenoun, P., Gastaud, R., Perrot, F., Beysens, D.: Phys. Rev. A 32, 1818–1833 (1985)

    ADS  Google Scholar 

  137. Vani, V., Guha, S., Gopal, E.S.R.: J. Chem. Phys. 84, 3999–4007 (1986)

    ADS  Google Scholar 

  138. Biswas, S.N., ten Seldam, C.A.: Fluid Phase Equilib. 47, 67–75 (1989)

    Google Scholar 

  139. Biswas, S.N., ten Seldam, C.A., Bominaar, S.A.R.C., Trappeniers, N.J.: Fluid Phase Equilib. 49, 1–7 (1989)

    Google Scholar 

  140. Jacobs, D.T.: J. Phys. Chem. 86, 1895–1898 (1982)

    Google Scholar 

  141. Ploplis, A.C., Wardwell, P.S., Jacobs, D.T.: J. Phys. Chem. 90, 4676–4678 (1986)

    Google Scholar 

  142. Andrew, W.V., Khoo, T.B.K., Jacobs, D.T.: J. Chem. Phys. 85, 3985–3991 (1986)

    ADS  Google Scholar 

  143. Jacobs, D.T., Kuhl, D.E., Selby, C.E.: J. Chem. Phys. 105, 586–597 (1996)

    ADS  Google Scholar 

  144. Bouanz, M., Beysens, D.: Chem. Phys. Lett. 231, 105–110 (1994)

    ADS  Google Scholar 

  145. Bonetti, M., Oleinikova, A., Bervillier, C.: J. Phys. Chem. B 101, 2164–2173 (1997)

    Google Scholar 

  146. Oleinikova, A., Bonetti, M.: Chem. Phys. Lett. 299, 417–422 (1999)

    ADS  Google Scholar 

  147. An, X., Zhao, H., Jiang, F., Mao, C., Shen, W.: J. Chem. Thermodyn. 29, 1047–1054 (1997)

    Google Scholar 

  148. An, X., Zhao, H., Jiang, F., Shen, W.: J. Chem. Thermodyn. 30, 21–26 (1998)

    Google Scholar 

  149. An, X., Jiang, F., Zhao, H., Chen, C., Shen, W.: J. Chem. Thermodyn. 30, 751–760 (1998)

    Google Scholar 

  150. An, X., Li, P., Zhao, H., Shen, W.: J. Chem. Thermodyn. 30, 1049–1059 (1998)

    Google Scholar 

  151. An, X., Jiang, F., Zhao, H., Shen, W.: J. Chem. Thermodyn. 30, 1181–1190 (1998)

    Google Scholar 

  152. Zhou, C., An, X., Jiang, F., Zhao, H., Shen, W.: J. Chem. Thermodyn. 31, 615–626 (1999)

    Google Scholar 

  153. Tang, K., Zhou, C., An, X., Shen, W.: J. Chem. Thermodyn. 31, 943–954 (1999)

    Google Scholar 

  154. Oleinikova, A., Weingärtner, H.: Chem. Phys. Lett. 319, 119–124 (2000)

    ADS  Google Scholar 

  155. Wang, N., Mao, C., Lu, R., Peng, X., An, X., Shen, W.: J. Chem. Thermodyn. 38, 264–271 (2006)

    Google Scholar 

  156. Khairulin, R.A., Stankus, S.V., Gruzdev, V.A.: Int. J. Thermophys. 28, 1245–1254 (2007)

    Google Scholar 

  157. Chen, S.-H., Lai, C.-C., Rouch, J., Tartaglia, P.: Phys. Rev. A 27, 1086–1095 (1983)

    ADS  Google Scholar 

  158. Ostwald, U., Belkoura, L., Jungk, M., Woermann, D.: Ber. Bunsenges. Phys. Chem. 88, 635–642 (1984)

    Google Scholar 

  159. Jacobs, D.T.: Phys. Rev. A 33, 2605–2611 (1986)

    ADS  MathSciNet  Google Scholar 

  160. DaMore, L.W., Jacobs, D.T.: J. Chem. Phys. 97, 464–469 (1992)

    ADS  Google Scholar 

  161. Lytle, A., Jacobs, D.T.: J. Chem. Phys. 120, 5709–5716 (2004)

    ADS  Google Scholar 

  162. Anisimov, M., Thoen, J.: In: Wilhelm, E., Letcher, T.M. (eds.) Heat Capacities: Liquids and Vapours. Royal Society of Chemistry, Cambridge (in press)

  163. Barmatz, M., Hahn, I., Lipa, J.A., Duncan, R.V.: Rev. Mod. Phys. 79, 1–52 (2007)

    ADS  Google Scholar 

  164. Dobashi, T., Nakata, M., Kaneko, M.: J. Chem. Phys. 72, 6685–6691 (1980)

    ADS  Google Scholar 

  165. Stafford, S.G., Ploplis, A.C., Jacobs, D.T.: Macromolecules 23, 470–475 (1990)

    ADS  Google Scholar 

  166. Shen, W., Smith, G.R., Knobler, C.M., Scott, R.L.: J. Phys. Chem. 95, 3376–3379 (1991)

    Google Scholar 

  167. Kuwahara, N., Sato, H., Kubota, K.: Phys. Rev. E 48, 3176–3179 (1993)

    ADS  Google Scholar 

  168. An, X.-Q., Shen, W.-G., Xia, K.-Q.: J. Chem. Phys. 107, 2060–2065 (1997)

    ADS  Google Scholar 

  169. An, X., Jiang, F., Chen, C., Shen, W.: Chem. Phys. Lett. 282, 403–408 (1998)

    ADS  Google Scholar 

  170. An, X., Xia, K.-Q., Shen, W., Qiu, X.-L.: J. Chem. Phys. 111, 8289–8301 (1999)

    ADS  Google Scholar 

  171. Zhou, C.-S., An, X.-Q., Xia, K.-Q., Yin, X.-L., Shen, W.-G.: J. Chem. Phys. 117, 4557–4563 (2002)

    ADS  Google Scholar 

  172. Jacobs, D.T., Braganza, C.I., Brinck, A.P., Cohen, A.B., Lightfoot, M.A., Locke, C.J., Suddendorf, S.J., Timmers, H.R., Triplett, A.L., Venkataraman, N.L., Wellons, M.T.: J. Chem. Phys. 127, 124905 (2007)

    ADS  Google Scholar 

  173. Anisimov, M.A., Kostko, A.F., Sengers, J.V.: Phys. Rev. E 65, 051805 (2002)

    ADS  Google Scholar 

  174. Anisimov, M.A., Sengers, J.V.: Mol. Phys. 103, 3061–3070 (2005)

    ADS  Google Scholar 

  175. Anisimov, M.A., Kostko, A.F., Sengers, J.V., Yudin, I.K.: J. Chem. Phys. 123, 164901 (2005)

    ADS  Google Scholar 

  176. Shimanskaya, E.T., Shimansky, Yu.I., Oleinikova, A.V.: Int. J. Thermophys. 17, 641–649 (1996)

    Google Scholar 

  177. Shimansky, Yu.I., Shimanskaya, E.T.: Int. J. Thermophys. 17, 651–662 (1996)

    Google Scholar 

  178. Shimanskaya, E.T., Shimansky, Yu.I.: High Temp.-High Press. 29, 509–518 (1997)

    Google Scholar 

  179. Shimansky, Yu.I., Shimanskaya, E.T.: High Temp.-High Press. 30, 635–643 (1998)

    Google Scholar 

  180. Fameli, N., Balzarini, D.A.: Phys. Rev. E 75, 064203 (2007)

    Google Scholar 

  181. Wagner, W., Kurzeja, N., Pieperbeck, B.: Fluid Phase Equilib. 79, 151–174 (1992)

    Google Scholar 

  182. Kurzeja, N., Tielkes, Th., Wagner, W.: Int. J. Thermophys. 20, 531–561 (1999)

    Google Scholar 

  183. Guder, C., Wagner, W.: J. Phys. Chem. Ref. Data 38, 33–94 (2009)

    ADS  Google Scholar 

  184. Ivanov, D.Yu., Makarevich, L.A., Sokolova, O.N.: ZhETF Pis. Red. 20, 272–276 (1974) [English translation: JETP Lett. 20, 121–122 (1974)]

    ADS  Google Scholar 

  185. Makarevich, L.A., Sokolova, O.N., Rozen, A.M.: Z. Eksp. Teor. Fiz. 67, 615–620 (1974) [English translation: Sov. Phys.-JETP 40, 305–307 (1975)]

    Google Scholar 

  186. Ivanov, D.Yu.: Dokl. Akad. Nauk 383, 478–481 (2002)

    Google Scholar 

  187. Ivanov, D.Yu.: Critical Behavior of Non-Ideal Systems. Wiley-VCH, Weinheim (2008)

    MATH  Google Scholar 

  188. Lecoutre, C., Garrabos, Y., Georgin, E., Palencia, E., Beysens, D.: Int. J. Thermophys. 30, 810–832 (2009)

    Google Scholar 

  189. Wagner, W.: In: Proc. 15th International Conference on the Properties of Water and Steam. VDI-Gesellschaft (2008), 11 pp. ISBN 978-3-931384-64-7

  190. Hohenberg, P.C., Barmatz, M.: Phys. Rev. A 6, 289–313 (1972)

    ADS  Google Scholar 

  191. Onuki, A., Kawasaki, K.: Ann. Phys. 121, 456–527 (1979)

    MATH  ADS  Google Scholar 

  192. Onuki, A., Yamazaki, K., Kawasaki, K.: Ann. Phys. 131, 217–242 (1981)

    ADS  Google Scholar 

  193. Onuki, A.: Phase Transition Dynamics. Cambridge Univ. Press, Cambridge (2002), Chap. 11

    MATH  Google Scholar 

  194. Beysens, D., Gbadamassi, M.: Phys. Rev. A 22, 2250–2261 (1980)

    ADS  Google Scholar 

  195. Beysens, D., Gbadamassi, M., Moncef-Bouanz, B.: Phys. Rev. A 28, 2491–2509 (1983)

    ADS  Google Scholar 

  196. Sengers, J.V., van Leeuwen, J.M.J.: Physica A 116, 345–367 (1982)

    ADS  Google Scholar 

  197. van Leeuwen, J.M.J., Sengers, J.V.: Physica A 128, 99–131 (1984)

    ADS  Google Scholar 

  198. van Leeuwen, J.M.J., Sengers, J.V.: Physica A 132, 207–232 (1985)

    ADS  Google Scholar 

  199. Sengers, J.V., van Leeuwen, J.M.J.: Int. J. Thermophys. 6, 545–559 (1985)

    Google Scholar 

  200. Sikkenk, J.H., van Leeuwen, J.M.J., Sengers, J.V.: Physica 139, 1–27 (1986)

    Google Scholar 

  201. van Leeuwen, J.M.J., Sengers, J.V.: Physica A 138, 1–21 (1986)

    ADS  Google Scholar 

  202. Kawasaki, K., Ohta, T., Onuki, A.: Prog. Theor. Phys. (Jpn.) 63, 821–830 (1980)

    ADS  Google Scholar 

  203. Lunacek, J.H., Cannell, D.S.: Phys. Rev. Lett. 27, 841–844 (1971)

    ADS  Google Scholar 

  204. Calmettes, P., Laguës, I., Laj, C.: Phys. Rev. Lett. 28, 478–480 (1972)

    ADS  Google Scholar 

  205. Lai, C.C., Chen, S.H.: Phys. Lett. A 41, 259–260 (1972)

    ADS  Google Scholar 

  206. Kagoshima, S., Ohbayashi, K., Ikushima, A.: J. Low Temp. Phys. 11, 765–774 (1973)

    ADS  Google Scholar 

  207. Warkulwitz, V.P., Mozer, B., Green, M.S.: Phys. Rev. Lett. 32, 1410–1413 (1974)

    ADS  Google Scholar 

  208. Anisimov, M.A., Evtyushenkov, A.M., Kiyachenko, Yu.F., Yudin, I.K.: ZhETF Pis. Red. 20, 378–382 (1974) [English translation: JETP Lett. 20, 170–171 (1974)]

    ADS  Google Scholar 

  209. Lin, J.S., Schmidt, P.W.: Phys. Rev. A 10, 2290–2305 (1974)

    ADS  Google Scholar 

  210. Dale, H., Lin, J.S., Dolesji, D.A., Casteel, J.L., Pringle, O.A., Schmidt, P.W.: Phys. Rev. A 15, 2513–2518 (1977)

    ADS  Google Scholar 

  211. Gürmen, E., Chandrasekhar, M., Chumbley, P.E., Bale, H.D., Dolesji, D.A., Lin, J.S., Schmidt, P.W.: Phys. Rev. A 22, 170–176 (1980)

    ADS  Google Scholar 

  212. Schneider, R., Belkoura, L., Schelten, J., Woermann, D., Chu, B.: Phys. Rev. B 22, 5507–5516 (1980)

    ADS  Google Scholar 

  213. Schwahn, D., Belkoura, L., Woermann, D.: Ber. Bunsenges. Phys. Chem. 90, 339–342 (1986)

    Google Scholar 

  214. Izumi, Y.: Phys. Rev. A 39, 5826–5831 (1989)

    ADS  Google Scholar 

  215. Damay, P., Leclercq, F., Chieux, P.: Physica B 156–157, 223–225 (1989)

    Google Scholar 

  216. Damay, P., Leclercq, F., Chieux, P.: Phys. Rev. B 40, 4696–4708 (1989)

    ADS  Google Scholar 

  217. Bonetti, M., Calmettes, P.: Int. J. Thermophys. 19, 1555–1566 (1998)

    Google Scholar 

  218. Tracy, C.A., McCoy, B.M.: Phys. Rev. B 12, 368–387 (1975)

    ADS  Google Scholar 

  219. Goldburg, W.I.: In: Cummins, H.Z., Levanyuk, A.P. (eds.) Light Scattering Near Phase Transitions, pp. 531–581. North Holland, Amsterdam (1983)

    Google Scholar 

  220. Gansen, P., Janssen, T., Schön, W., Woermann, D.: Ber. Bunsenges. Phys. Chem. 84, 1149–1156 (1980)

    Google Scholar 

  221. Shanks, J.G.: A light-scattering study of static critical phenomena in binary liquid mixtures. Ph.D. Thesis, Department of Physics and Astronomy, University of Maryland, College Park, MD (1986)

  222. Burstyn, H.C.: An examination of the structure factor, near the consolute point, in the binary fluid 3-methylpentane + nitroethane. Ph.D. Thesis, Department of Physics and Astronomy, University of Maryland, College Park, MD (1979)

  223. Greer, S.C.: Ber. Bunsenges. Phys. Chem. 81, 1079–1081 (1977)

    Google Scholar 

  224. Greer, S.C.: J. Chem. Eng. Data 31, 272–273 (1986)

    Google Scholar 

  225. Morrison, G., Knobler, C.M.: J. Chem. Phys. 65, 5507–5517 (1976)

    ADS  Google Scholar 

  226. Hamano, K., Teshigawara, S., Koyama, T., Kuwahara, N.: Phys. Rev. A 33, 485–489 (1986)

    ADS  Google Scholar 

  227. Puglieli, V.G., Ford, N.C.: Phys. Rev. Lett. 25, 143–147 (1970)

    ADS  Google Scholar 

  228. Shanks, J.G., Sengers, J.V.: Phys. Rev. A 38, 885–896 (1988)

    ADS  Google Scholar 

  229. Frisken, B.J., Feri, F., Cannell, D.S.: Phys. Rev. Lett. 66, 2754–2757 (1991)

    ADS  Google Scholar 

  230. Bailey, A.E., Cannell, D.S.: Phys. Rev. E 50, 4853–4864 (1994)

    ADS  Google Scholar 

  231. Bourgou, A., Beysens, D.: Phys. Rev. Lett. 47, 257–260 (1981)

    ADS  Google Scholar 

  232. Zalczer, G., Beysens, D.: J. Chem. Phys. 92, 6747–6754 (1990)

    ADS  Google Scholar 

  233. Bonetti, M., Bagnuls, C., Bervillier, C.: J. Chem. Phys. 107, 550–561 (1997)

    ADS  Google Scholar 

  234. Hernández, M.P., Ortega, F., Rubio, R.G.: J. Chem. Phys. 119, 4428–4436 (2003)

    ADS  Google Scholar 

  235. Gutkowski, K., Anisimov, M.A., Sengers, J.V.: J. Chem. Phys. 114, 3133–3148 (2001)

    ADS  Google Scholar 

  236. Debye, P.: In: Green, M.S., Sengers, J.V. (eds.) Proceedings of a Conference Held in Washington, D.C., April 1965. National Bureau of Standards Miscellaneous Publ., vol. 273, p. 130. U.S. Government Printing Office, Washington (1966)

    Google Scholar 

  237. Kouvel, J.S., Fisher, M.E.: Phys. Rev. A 136, 1626–1632 (1964)

    ADS  Google Scholar 

  238. Anisimov, M.A., Kiselev, S.B., Sengers, J.V., Tang, S.: Physica A 188, 487–525 (1992)

    ADS  Google Scholar 

  239. Anisimov, M.A., Povodyrev, A.A., Kulikov, V.D., Sengers, J.V.: Phys. Rev. Lett. 75, 3146–3149 (1995)

    ADS  Google Scholar 

  240. Albright, P.C., Chen, Z.Y., Sengers, J.V.: Phys. Rev. B 36, 877–880 (1987)

    ADS  Google Scholar 

  241. Chen, Z.Y., Albright, P.C., Sengers, J.V.: Phys. Rev. A 41, 3161–3177 (1990)

    ADS  Google Scholar 

  242. Tang, S., Sengers, J.V., Chen, Z.Y.: Physica A 179, 344–377 (1991)

    ADS  Google Scholar 

  243. Zinn-Justin, J.: Quantum Field Theory and Critical Phenomena. Oxford University Press, Oxford (1996)

    MATH  Google Scholar 

  244. Nicoll, J.F.: Phys. Rev. A 24, 2203–2220 (1981)

    ADS  Google Scholar 

  245. Nicoll, J.F., Bhattacharjee, J.K.: Phys. Rev. B 23, 389–401 (1981)

    ADS  Google Scholar 

  246. Nicoll, J.F., Albright, P.C.: Phys. Rev. B 31, 4576–4589 (1985)

    ADS  Google Scholar 

  247. Anisimov, M.A., Sengers, J.V.: In: Sengers, J.V., Kayser, R.F., Peters, C.J., White, H.J. Jr. (eds.) Equations of State for Fluids and Fluid Mixtures, pp. 381–434. Elsevier, Amsterdam (2000)

    Google Scholar 

  248. Agayan, V.A., Anisimov, M.A., Sengers, J.V.: Phys. Rev. E 64, 026125 (2001)

    ADS  Google Scholar 

  249. Kim, Y.C., Anisimov, M.A., Sengers, J.V., Luijten, E.: J. Stat. Phys. 110, 591–609 (2003)

    MATH  Google Scholar 

  250. Anisimov, M.A., Povodyrev, A.A., Kulikov, V.D., Sengers, J.V.: Phys. Rev. Lett. 75, 3146–3149 (1995)

    ADS  Google Scholar 

  251. Narayanan, T., Pitzer, K.S.: J. Chem. Phys. 102, 8118–8131 (1995)

    ADS  Google Scholar 

  252. Melnichenko, Y.B., Anisimov, M.A., Povodyrev, A.A., Wignall, G.D., Sengers, J.V., Van Hook, W.A.: Phys. Rev. Lett. 79, 5266–5269 (1997)

    ADS  Google Scholar 

  253. Weingärtner, H., Kleimeier, M., Wiegand, S., Schröer, W.: J. Stat. Phys. 78, 169 (1995)

    ADS  Google Scholar 

  254. Weingärtner, H., Schröer, W.: Adv. Chem. Phys. 116, 1–66 (2001)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jan V. Sengers.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sengers, J.V., Shanks, J.G. Experimental Critical-Exponent Values for Fluids. J Stat Phys 137, 857–877 (2009). https://doi.org/10.1007/s10955-009-9840-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10955-009-9840-z

Keywords

Navigation