Critical dynamics of an isothermal compressible nonideal fluid

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 86, Issue 6, 2012, Pages

  Gross, Markus ^a   Varnik, Fathollah ^a,b  

^a RUHR UNIVERSITY BOCHUM   (Germany)

^b MAX PLANCK INSTITUT FÜR EISENFORSCHUNG GMBH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BULK VISCOSITY; CRITICAL DIMENSION; CRITICAL DYNAMICS; CRITICAL POINTS; HEAT TRANSPORT; HYDRODYNAMICS EQUATION; ISOTHERMAL CONDITIONS; NON-IDEAL FLUID; ORDER-PARAMETER; PURE FLUIDS; RELAXATION MECHANISM; TWO-DIMENSION;

COMPUTER SIMULATION; DYNAMICS; WAVES;

ISOTHERMS;

EID: 84871732691     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.86.061119     Document Type: Article

References (133)

1. H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena (Oxford University Press, Oxford, UK, 1971).
2. P. C. Hohenberg and B. I. Halperin, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.49.435 49, 435 (1977).
3. J. V. Sengers, in Supercritical Fluids, edited by, E. Kiran, and, J. M. H. L. Sengers, (Kluwer Academic, Amsterdam, 1994), p. 231.
4. R. Folk and G. Moser, J. Phys. A 1361-6447 10.1088/0305-4470/39/24/R01 39, R207 (2006). (Pubitemid 44026156)
5. U. C. Täuber, Critical dynamics - A field theory approach to equilibrium and non-equilibrium scaling behavior (2012), http://www.phys.vt.edu/ ~tauber/
6. A. Onuki, Phase Transition Dynamics (Cambridge University Press, Cambridge, UK, 2002).
7. D. K. Schwartz, C. M. Knobler, and R. Bruinsma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.2841 73, 2841 (1994).
8. H. A. Stone, Phys. Fluids PHFLE6 1070-6631 10.1063/1.868670 7, 2931 (1995). (Pubitemid 26463886)
9. D. K. Lubensky and R. E. Goldstein, Phys. Fluids PHFLE6 1070-6631 10.1063/1.868893 8, 843 (1996).
10. G. L. Gaines Jr., Insoluble Monolayers at Liquid-Gas Interfaces (Interscience, New York, 1966).
11. M. Aratono, S. Uryu, Y. Hayami, K. Motomura, and R. Matuura, J. Colloid Interface Sci. 0021-9797 10.1016/0021-9797(84)90475-2 98, 33 (1984).
12. S. R. Middleton, M. Iwahashi, N. R. Pallas, and B. A. Pethica, Proc. R. Soc. London A 1364-5021 10.1098/rspa.1984.0113 396, 143 (1984).
13. T. Rasing, H. Hsiung, Y. R. Shen, and M. W. Kim, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.37.2732 37, 2732 (1988).
14. C. M. Knobler, Science SCIEAS 0036-8075 10.1126/science.249.4971.870 249, 870 (1990).
15. V. M. Kaganer, H. Moehwald, and P. Dutta, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.71.779 71, 779 (1999).
16. B. D. Casson and C. D. Bain, J. Am. Chem. Soc. JACSAT 0002-7863 10.1021/ja983675z 121, 2615 (1999). (Pubitemid 29153481)
17. M. S. Tomassone, A. Couzis, C. Maldarelli, J. R. Banavar, and J. Koplik, Langmuir LANGD5 0743-7463 10.1021/la0103113 17, 6037 (2001). (Pubitemid 35330668)
18. I. Varga, T. Keszthelyi, R. Meszaros, O. Hakkel, and T. Gilanyi, J. Phys. Chem. B JPCBFK 1520-6106 10.1021/jp048006o 109, 872 (2005). (Pubitemid 40183575)
19. S. L. Keller and H. M. McConnell, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.1602 82, 1602 (1999).
20. L. K. Nielsen, T. Bjornholm, and O. G. Mouritsen, Nature NATUAS 0028-0836 10.1038/35006162 404, 352 (2000).
21. L. K. Nielsen, T. Bjornholm, and O. G. Mouritsen, Langmuir LANGD5 0743-7463 10.1021/la7016352 23, 11684 (2007). (Pubitemid 350133016)
22. S. L. Veatch and S. L. Keller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.268101 89, 268101 (2002).
23. T. Murtola, T. Rog, E. Falck, M. Karttunen, and I. Vattulainen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.238102 97, 238102 (2006). (Pubitemid 44888125)
24. S. L. Veatch, O. Soubias, S. K. Keller, and K. Gawrisch, Proc. Nat. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0703513104 104, 17650 (2007). (Pubitemid 350210874)
25. A. R. Honerkamp-Smith, P. Cicuta, M. D. Collins, S. L. Veatch, M. den Nijs, M. Schick, and S. L. Keller, Biophys. J. BIOJAU 0006-3495 10.1529/biophysj.107.128421 95, 236 (2008).
26. J. Ehrig, E. P. Petrov, and P. Schwille, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/13/4/045019 13, 045019 (2011).
27. A. R. Honerkamp-Smith, B. B. Machta, and S. L. Keller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.265702 108, 265702 (2012).
28. B. B. Machta, S. L. Veatch, and J. P. Sethna, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.109.138101 109, 138101 (2012).
29. O. G. Mouritsen, Life - as a Matter of Fat: The Emerging Science of Lipidomics (Springer, Berlin, 2005).
30. J. S. Langer and L. A. Turski, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.8.3230 8, 3230 (1973).
31. O. T. Valls and G. F. Mazenko, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.38.11643 38, 11643 (1988).
32. J. E. Farrell and O. T. Valls, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.40.7027 40, 7027 (1989).
33. J. E. Farrell and O. T. Valls, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.42.2353 42, 2353 (1990).
34. J. E. Farrell and O. T. Valls, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.43.630 43, 630 (1991).
35. W. R. Osborn, E. Orlandini, M. R. Swift, J. M. Yeomans, and J. R. Banavar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.4031 75, 4031 (1995).
36. A. G. Lamorgese and R. Mauri, Phys. Fluids PHFLE6 1070-6631 10.1063/1.3103826 21, 044107 (2009).
37. B. U. Felderhoff, Physica A 0031-8914 10.1016/0031-8914(70)90184-9 48, 541 (1970).
38. L. A. Turski and J. S. Langer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.22.2189 22, 2189 (1980).
39. B. Z. Shang, N. K. Voulgarakis, and J.-W. Chu, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.3615719 135, 044111 (2011).
40. S. P. Das, G. F. Mazenko, S. Ramaswamy, and J. J. Toner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.54.118 54, 118 (1985).
41. S. P. Das and G. F. Mazenko, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.34.2265 34, 2265 (1986).
42. T. R. Kirkpatrick and J. C. Nieuwoudt, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.33.2651 33, 2651 (1986).
43. T. R. Kirkpatrick and J. C. Nieuwoudt, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.33.2658 33, 2658 (1986).
44. S. P. Das, Statistical Physics of Liquids at Freezing and Beyond (Cambridge University Press, Cambridge, UK, 2011).
45. E. D. Siggia, B. I. Halperin, and P. C. Hohenberg, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.13.2110 13, 2110 (1976).
46. K. Kawasaki, Ann. Phys. APNYA6 0003-4916 10.1016/0003-4916(70)90375-1 61, 1 (1970).
47. B. I. Halperin, P. C. Hohenberg, and E. D. Siggia, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.32.1289 32, 1289 (1974).
48. L. P. Kadanoff and J. Swift, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.166.89 166, 166 (1968).
49. L. van Hove, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.95.249 95, 249 (1954).
50. K. Kawasaki, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, M. S. Green, Vol. 5A (Academic Press, New York, 1976), p. 165.
51. G. F. Mazenko, Nonequilibrium Statistical Mechanics (Wiley-VCH, New York, 2006).
52. J. K. Bhattacharjee and S. Bhattacharyya, Non-Linear Dynamics Near and Far from Equilibrium (Springer, Berlin, 2007).
53. H. C. Burstyn and J. V. Sengers, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.45.259 45, 259 (1980).
54. H. C. Burstyn and J. V. Sengers, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.25.448 25, 448 (1982).
55. T. Ohta and K. Kawasaki, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.55.1384 55, 1384 (1976).
56. H. Hao, R. A. Ferrell, and J. K. Bhattacharjee, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.71.021201 71, 021201 (2005). (Pubitemid 40606970)
57. R. F. Berg, M. R. Moldover, and G. A. Zimmerli, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.920 82, 920 (1999).
58. R. F. Berg, M. R. Moldover, and G. A. Zimmerli, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.60.4079 60, 4079 (1999).
59. A. Onuki, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.55.403 55, 403 (1997).
60. D. M. Kroll and J. M. Ruhland, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(80)90450-8 80, 45 (1980).
61. D. M. Kroll and J. M. Ruhland, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.23.371 23, 371 (1981).
62. R. Dengler and F. Schwabl, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/4/11/004 4, 1233 (1987).
63. R. Dengler and F. Schwabl, Z. Phys. B ZPCMDN 0722-3277 10.1007/BF01307292 69, 327 (1987).
64. R. Folk and G. Moser, J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/BF00753619 99, 11 (1995).
65. R. Folk and G. Moser, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.57. 683 57, 683 (1998).
66. R. Folk and G. Moser, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.57. 705 57, 705 (1998).
67. G. Flossmann, R. Folk, and G. Moser, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.60.779 60, 779 (1999).
68. L. T. Adzhemyan, A. N. Vasil'ev, and A. V. Serdyukov, JETP JTPHES 1063-7761 10.1134/1.558742 87, 934 (1998).
69. J. K. Bhattacharjee, U. Kaatze, and S. Z. Mirzaev, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/73/6/066601 73, 066601 (2010).
70. L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon, London, 1959).
71. J.-P. Hansen and I. R. McDonald, Theory of Simple Liquids, 3rd ed (Academic Press, New York, 2006).
72. J. P. Boon and S. Yip, Molecular Hydrodynamics (McGraw-Hill, New York, 1980).
73. S. K. Das, M. E. Fisher, J. V. Sengers, J. Horbach, and K. Binder, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.025702 97, 025702 (2006). (Pubitemid 44050348)
74. S. K. Das, J. Horbach, K. Binder, M. E. Fisher, and J. V. Sengers, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2215613 125, 024506 (2006). (Pubitemid 44079141)
75. K. Jagannathan and A. Yethiraj, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.015701 93, 015701 (2004).
76. A. Chen, E. H. Chimowitz, S. De, and Y. Shapir, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.255701 95, 255701 (2005). (Pubitemid 41815996)
77. T. Hamanaka, R. Yamamoto, and A. Onuki, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.71.011507 71, 011507 (2005). (Pubitemid 40619949)
78. S. Roy and S. K. Das, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/94/36001 94, 36001 (2011).
79. S. A. Casalnuovo, R. C. Mockler, and W. J. O'Sullivan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.48.939 48, 939 (1982).
80. S. A. Casalnuovo, R. C. Mockler, and W. J. O'Sullivan, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.29.257 29, 257 (1984).
81. M. Calvo and R. A. Ferrell, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.31.2570 31, 2570 (1985).
82. M. Calvo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.31.2588 31, 2588 (1985).
83. J. K. Bhattacharjee, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.1524 77, 1524 (1996).
84. W.-B. Zhang, X.-W. Zou, H.-Y. Liu, Z.-Z. Jin, and D.-C. Tian, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(00)00447-3 272, 408 (2000).
85. Y. Pomeau, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.5.2569 5, 2569 (1971).
86. Y. Pomeau and P. Resibois, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(75)90019-8 19, 63 (1975).
87. D. Forster, D. R. Nelson, and M. J. Stephen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.36.867 36, 867 (1976).
88. D. Forster, D. R. Nelson, and M. J. Stephen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.16.732 16, 732 (1977).
89. F. Bencivenga, A. Cunsolo, M. Kirsch, G. Monaco, G. Roucco, and F. Sette, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2006-10091-y 75, 70 (2006). (Pubitemid 44022078)
90. S. Ramaswamy and G. F. Mazenko, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.26.1735 26, 1735 (1982).
91. B. Kim and G. F. Mazenko, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01048309 64, 631 (1991).
92. A. J. M. Yang, P. D. Fleming III, and J. H. Gibbs, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.432687 64, 3732 (1976).
93. R. Evans, Adv. Phys. ADPHAH 0001-8732 10.1080/00018737900101365 28, 143 (1979).
94. J. Lowengrub and L. Truskinovsky, Proc. R. Soc. London A 454, 2617 (1988).
95. D. Jasnow and J. Vinals, Phys. Fluids PHFLE6 1070-6631 10.1063/1.868851 8, 660 (1996).
96. D. M. Anderson, G. B. McFadden, and A. A. Wheeler, Annu. Rev. Fluid. Mech. ARVFA3 0066-4189 10.1146/annurev.fluid.30.1.139 30, 139 (1998).
97. K. Kawasaki, Transport Theor. Stat. Phys. TTSPB4 0041-1450 10.1080/00411459508203934 24, 755 (1995).
98. G. F. Mazenko and Y. Yeo, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF02188215 74, 1017 (1994).
99. I. Staroselsky, V. Yakhot, S. Kida, and S. A. Orszag, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.65.171 65, 171 (1990).
100. R. Folk, H. Iro, and F. Schwabl, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.20.1229 20, 1229 (1979).
101. F. Schwabl, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01008362 39, 719 (1985).
102. P. M. Chaikin and T. C. Lubensky, Principles of Condensed Matter Physics (Cambridge University Press, Cambridge, UK, 1995).
103. S.-K. Ma, Modern Theory of Critical Phenomena (Westview Press, Boulder, CO, 1976).
104. K. Kawasaki and J. D. Gunton, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.13.4658 13, 4658 (1976).
105. J. Luettmer-Strathmann, J. V. Sengers, and G. A. Olchowy, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.470718 103, 7482 (1995).
106. S.-K. Ma and G. F. Mazenko, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.11.4077 11, 4077 (1975).
107. R. A. Ferrell and J. K. Bhattacharjee, J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/BF00174918 36, 165 (1979).
108. P. Kopietz, L. Bartosch, and F. Schuetz, Introduction to the Functional Renormalization Group (Springer, Berlin, 2010).
109. B. I. Halperin, P. C. Hohenberg, and S.-K. Ma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.29.1548 29, 1548 (1972).
110. B. I. Halperin, P. C. Hohenberg, and S.-K. Ma, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.10.139 10, 139 (1974).
111. B. I. Halperin, P. C. Hohenberg, and S.-K. Ma, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.13.4119 13, 4119 (1976).
112. L. Canet and H. Chate, J. Phys. A 1751-8113 10.1088/1751-8113/40/9/002 40, 1937 (2007).
113. A. S. Krinitsyn, V. V. Prudnikov, and P. V. Prudnikov, Th. Math. Phys. TMPHAH 0040-5779 10.1007/s11232-006-0063-z 147, 561 (2006). (Pubitemid 43593313)
114. M. P. Nightingale and H. W. J. Blöte, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.4548 76, 4548 (1996).
115. J. Rogiers and J. O. Indekeu, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.41.6998 41, 6998 (1990).
116. M. J. Dunlavy and D. Venus, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.71.144406 71, 144406 (2005). (Pubitemid 41760328)
117. R. Perl and R. A. Ferrell, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.6.2358 6, 2358 (1972).
118. M. Gross, R. Adhikari, M. E. Cates, and F. Varnik, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.056714 82, 056714 (2010).
119. M. Gross and F. Varnik, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.85.056707 85, 056707 (2012).
120. A. J. Wagner and C. M. Pooley, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.76.045702 76, 045702 (R) (2007). (Pubitemid 47631520)
121. S. P. Thampi, S. Ansumali, R. Adhikari, and S. Succi, arXiv: 1202.3299 (2012).
122. U. Frisch, D. d'Humieres, B. Hasslacher, P. Lallemand, Y. Pomeau, and J.-P. Rivet, Complex Syst. 1, 649 (1987).
123. O. Behrend, R. Harris, and P. B. Warren, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.50.4586 50, 4586 (1994).
124. P. Lallemand and L.-S. Luo, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.61.6546 61, 6546 (2000).
125. A. J. C. Ladd, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112094001771 271, 285 (1994).
126. A. J. C. Ladd and R. Verberg, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1010414013942 104, 1191 (2001).
127. H. M. McConnell, Annu. Rev. Phys. Chem. ARPLAP 0066-426X 10.1146/annurev.pc.42.100191.001131 42, 171 (1991).
128. R. Folk and G. Moser, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.49. 3128 49, 3128 (1994).
129. K. Binder and E. Luijten, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(00)00127-7 344, 179 (2001).
130. S. V. Belim, J. Exp. Theor. Phys. JTPHES 1063-7761 10.1134/1.1757674 98, 745 (2004).
131. J. C. Alexander, A. J. Bernoff, E. K. Mann, J. A. M. Jr, J. B. Wintersmith, and L. Zou, J. Fluid Mech. JFLSA7 0022-1120 10.1017/ S0022112006003326 571, 191 (2007). (Pubitemid 46056008)
132. M. Haataja, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.020902 80, 020902 (R) (2009).
133. J. Griesbauer, A. Wixforth, and M. F. Schneider, Biophys. J. BIOJAU 0006-3495 10.1016/j.bpj.2009.07.049 97, 2710 (2009).