Asymmetric fluid criticality. II. Finite-size scaling for simulations

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 68, Issue 4, 2003, Pages

  Kim, Young C ^a   Fisher, Michael E ^a  

^a Bldg 142   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; CRITICAL CURRENT DENSITY (SUPERCONDUCTIVITY); DENSITY (SPECIFIC GRAVITY); FREE ENERGY; FUNCTIONS; PHASE TRANSITIONS; STATISTICAL MECHANICS; THERMODYNAMIC PROPERTIES;

CRITICAL FLUIDS; FINITE-SIZE SCALING;

FLUIDICS;

SOLUTION AND SOLUBILITY;

CHEMISTRY; COMPUTER SIMULATION; ENERGY TRANSFER; EVALUATION STUDY; FLOW KINETICS; KINETICS; PERIODICITY; PHASE TRANSITION; PRESSURE; PROCEDURES; SOLUTION AND SOLUBILITY; TEMPERATURE; THEORETICAL MODEL;

COMPUTER SIMULATION; ENERGY TRANSFER; KINETICS; MODELS, THEORETICAL; PERIODICITY; PHASE TRANSITION; PRESSURE; RHEOLOGY; SOLUTIONS; TEMPERATURE;

EID: 84990963076     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.68.041506     Document Type: Article

References (52)

1. See, e.g., as a recent example, G. Orkoulas, A.Z. Panagiotopoulos, and M.E. Fisher, Phys. Rev. E 61, 5930 (2000).
2. M.E. Fisher in Critical Phenomena, Proceedings of the 51st Enrico Fermi Summer School, Varenna, edited by M.S. Green (Academic Press, New York, 1971).
3. M.E. Fisher and M.N. Barber, Phys. Rev. Lett. 28, 1516 (1972).
4. J.L. Cardy, Finite-Size Scaling (North Holland, Amsterdam, 1988).
5. V. Privman, Finite Size Scaling and Numerical Simulation of Statistical Systems (World Scientific, Singapore, 1990).
6. J.G. Brankov, D.M. Danchev, and N.S. Tonchev, Theory of Critical Phenomena in Finite-size Systems: Scaling and Quantum Effects (World Scientific, Singapore, 2000), Chap. 4.
7. J. Zinn-Justin, Quantum Field Theory and Critical Phenomena, 3rd ed. (Clarendon Press, Oxford, 1996), Chap. 36.
8. See, e.g., G. Orkoulas, M.E. Fisher, and A.Z. Panagiotopoulos, Phys. Rev. E 63, 051507 (2001).
9. M.E. Fisher and G. Orkoulas, Phys. Rev. Lett. 85, 696 (2000).
10. G. Orkoulas, M.E. Fisher, and C. Üstün, J. Chem. Phys. 113, 7530 (2000).
11. Y.C. Kim, M.E. Fisher, and G. Orkoulas, Phys. Rev. E 67, 061506 (2003). This paper is here denoted I and equations appearing there are labeled I(1.1), I(3.29), (Formula presented) etc.
12. J.J. Rehr and N.D. Mermin, Phys. Rev. A 8, 472 (1973).
13. Y.C. Kim, M.E. Fisher, and M.C. Barbosa, J. Chem. Phys. 115, 933 (2001).
14. S. Jüngst, B. Knuth, and F. Hensel, Phys. Rev. Lett. 55, 2160 (1985).
15. See also T. Dobashi and M. Nakata, J. Chem. Phys. 101, 3390 (1994), and references therein.
16. V. Privman and M.E. Fisher, J. Phys. A 16, L295 (1983).
17. V. Privman, Phys. Rev. B 38, 9261 (1988);
18. V. PrivmanPhysica A 177, 241 (1991).
19. A.D. Bruce and N.B. Wilding, Phys. Rev. Lett. 68, 193 (1992).
20. N.B. Wilding and A.D. Bruce, J. Phys.: Condens. Matter 4, 3087 (1992).
21. E. Luijten, M.E. Fisher, and A.Z. Panagiotopoulos, Phys. Rev. Lett. 88, 185701 (2002).
22. K. Binder, Z. Phys. B: Condens. Matter 43, 119 (1981); For a recent overview see, K. Binder, “Overcoming the limitation of finite size in simulations: From the phase transition of the Ising model to polymers, spin glasses, etc.” preprint to appear in the Proceedings of the AIP Conference on “The Monte Carlo Method in the Physical Sciences: Celebrating 50 years of the Metropolis Algorithm,” edited by J.E. Gubernatis (2003).
23. E. Brézin and J. Zinn-Justin, Nucl. Phys. B 257, 867 (1985).
24. H.W.J. Blöte, E. Luijten, and J.R. Heringa, J. Phys. A 28, 6289 (1995);
25. H.W.J. Blöte, L.N. Shchur, and A.L. Talapov, Int. J. Mod. Phys. C 10, 1137 (1999).
26. E. Luijten, Phys. Rev. E 60, 7558 (1999).
27. M. Rovere, D.W. Heermann, and K. Binder, J. Phys.: Condens. Matter 2, 7009 (1990).
28. Y.C. Kim, M.E. Fisher, and E. Luijten, Phys. Rev. Lett. 91, 065701 (2003).
29. See, e.g. S.-N. Lai and M.E. Fisher, Mol. Phys. 88, 1373 (1996).
30. F. J.W. Hahne, Lecture Notes in Physics Vol. 186 (Springer, Berlin, 1983), pp. 1–139;
31. (b) Rev. Mod. Phys. 46, 597 (1974);
32. V. Privman and M.E. Fisher, Phys. Rev. B 30, 322 (1984).
33. S. Singh and R.K. Pathria, Phys. Rev. B 31, 4483 (1985);
34. Phys. Rev. BS. SinghR.K. Pathria32, 4618 (1985).
35. H. Guo and D. Jasnow, Phys. Rev. B 35, 1846 (1987).
36. A.D. Bruce, J. Phys. A 28, 3345 (1995).
37. E. Brézin, J. Phys. (Paris) 43, 15 (1982).
38. E.R. Korutcheva and N.S. Tonchev, J. Stat. Phys. 62, 553 (1991).
39. X.S. Chen and V. Dohm, Phys. Rev. E 66, 016102 (2002).
40. J. Rudnick, H. Guo, and D. Jasnow, J. Stat. Phys. 41, 353 (1985).
41. V. Privman and M.E. Fisher, J. Stat. Phys. 33, 385 (1983).
42. V. Privman and M.E. Fisher, J. Appl. Phys. 57, 3327 (1985);
43. V. PrivmanM.E. FisherCommun. Math. Phys. 103, 527 (1986).
44. K. Binder, Phys. Rev. Lett. 47, 693 (1981).
45. K. Binder and D.P. Landau, Phys. Rev. B 30, 1477 (1984).
46. B. Dünweg and D.P. Landau, Phys. Rev. B 48, 14 182 (1993).
47. K. Binder, Physica A 319, 99 (2003).
48. C. Borgs and S. Kappler, Phys. Lett. A 171, 37 (1992).
49. A.M. Ferrenberg and R.H. Swendsen, Phys. Rev. Lett. 63, 1195 (1989).
50. J. Valleau and G. Torrie, J. Chem. Phys. 108, 5169 (1998).
51. E. Luijten, M.E. Fisher, and A.Z. Panagiotopoulos, J. Chem. Phys. 114, 5468 (2001).
52. J. Valleau and G. Torrie, J. Chem. Phys. 117, 3305 (2002).