Monte Carlo study of the XY vector Blume-Emery-Griffiths model for He3 He4 mixtures in three dimensions

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

Volumn 72, Issue 5, 2005, Pages

  Freire, R T S ^a,b   Mitchell, S J ^a   Plascak, J A ^a,b   Landau, D P ^a  

^a UNIVERSITY OF GEORGIA   (United States)

^b FEDERAL UNIVERSITY OF MINAS GERAIS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMIC PROPERTIES; HE4-RICH PHASE; PHASE DIAGRAM DISPLAYS; TRICRITICAL POINT;

COMPUTER SIMULATION; HELIUM; MONTE CARLO METHODS; PHASE DIAGRAMS; PHASE TRANSITIONS;

MATHEMATICAL MODELS;

EID: 28844447873     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.056117     Document Type: Article

References (32)

1. J. A. Lipa, D. R. Swanson, J. A. Nissen, T. C. P. Chui, and U. E. Israelsson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.944 76, 944 (1996).
2. T. Matsubara and H. Matsuda, Prog. Theor. Phys. PTPKAV 0033-068X 16, 569 (1956).
3. M. Krech and D. P. Landau, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.3375 60, 3375 (1999).
4. K. Nho and E. Manousakis, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.144513 64, 144513 (2001).
5. E. H. Graf, D. M. Lee, and John D. Reppy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.19.417 19, 417 (1967).
6. H. A. Kierstead, J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/BF00121720 35, 25 (1979).
7. M. Blume, J. V. Emery, and R. B. Griffiths, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.4.1071 4, 1071 (1971).
8. A. N. Berker and D. R. Nelson, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.19.2488 19, 2488 (1979).
9. J. L. Cardy and D. J. Scalapino, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.19.1428 19, 1428 (1979).
10. A. Maciolek, M. Krech, and S. Dietrich, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.036117 69, 036117 (2004).
11. U. Wolff, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.62.361 62, 361 (1989).
12. M. E. J. Newman and G. T. Barkema, Monte Carlo Methods in Statistical Physics (Clarendon, Oxford, 1999).
13. M. Creutz, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.36.515 36, 515 (1987).
14. S. G. Pawig and K. Pinn, Int. J. Mod. Phys. C IJMPEO 0129-1831 9, 727 (1998).
15. J. A. Plascak, A. M. Ferrenberg, and D. P. Landau, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.066702 65, 066702 (2002).
16. W. H. Press, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in Fortran 77, 2nd ed. (Cambridge University Press, New York, 1992), Vol. 1.
17. Finite-Size Scaling and Numerical Simulations, edited by, V. Privman, (World Scientific, Singapore, 1990).
18. K. Binder and D. P. Landau, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.30.1477 30, 1477 (1984).
19. A. M. Ferrenberg and R. H. Swendsen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.61.2635 61, 2635 (1988);
20. A. M. Ferrenberg, Computer Simulation Studies in Condensed Matter Physics III, Vol. 53 of Springer Proceedings in Physics (Springer-Verlag, Heidelberg, 1991).
21. D. P. Landau and Kurt Binder, A Guide to Monte Carlo Simulations in Statistical Physics (Cambridge University Press, Cambridge, 2000).
22. D. Lawrie and S. Sarbach, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic, London, 1984), Vol. 9.
23. While this has historically sometimes been termed a "bicritical endpoint," this termination of the two lines of critical points in the extended space of thermodynamic fields is more properly termed a "double critical endpoint" [M. E. Fisher (private communication)].
24. H. J. Herrmann, E. B. Rasmussen, and D. P. Landau, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.330251 53, 7994 (1982).
25. J. D. Kimel, S. Black, P. Carter, and Y.-L. Wang, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.35.3347 35, 3347 (1987).
26. K. Binder, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01293604 43, 119 (1981).
27. P. H. L. Martins and J. A. Plascak, Braz. J. Phys. BJPHE6 0103-9733 34, 433 (2004).
28. M. M. Tsypin and H. W. J. Blöte, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.73 62, 73 (2000).
29. N. B. Wilding, A. D. Bruce, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/4/12/008 4, 3087 (1992).
30. J. A. Plascak and D. P. Landau, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.015103 67, 015103 (R) (2003).
31. A. D. Bruce, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/14/25/012 14, 3667 (1981).
32. Nigel B. Wilding, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.52.602 52, 602 (1995).