Low-temperature and high-temperature approximations for penetrable-sphere fluids: Comparison with Monte Carlo simulations and integral equation theories

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

Volumn 76, Issue 2, 2007, Pages

  Malijevský, Alexandr ^a,b   Yuste, Santos B ^c   Santos, Andrés ^c  

^a INSTITUTE OF MATHEMATICS   (Czech Republic)

^b CHARLES UNIVERSITY   (Czech Republic)

^c UNIVERSITY OF EXTREMADURA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; INTEGRAL EQUATIONS; MONTE CARLO METHODS;

HYPERNETTED-CHAIN APPROXIMATIONS; PENETRABLE SPHERES (PS); POLYMER CHAINS;

FLUID DYNAMICS;

EID: 34548065186     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.021504     Document Type: Article

References (49)

1. M. S. Wertheim, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.10. 321 10, 321 (1963);
2. E. Thiele, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1734272 39, 474 (1963).
3. C. N. Likos, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(00)00141-1 348, 267 (2001), and references therein.
4. C. N. Likos, H. Löwen, M. Watzlawek, B. Abbas, O. Jucknischke, J. Allgaier, and D. Richter, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 80.4450 80, 4450 (1998);
5. M. Watzlawek, C. N. Likos, and H. Löwen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.5289 82, 5289 (1999).
6. B. M. Mladek, D. Gottwald, G. Kahl, M. Neumann, and C. N. Likos, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.045701 96, 045701 (2006);
7. B. M. Mladek, D. Gottwald, G. Kahl, M. Neumann, and C. N. Likos, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.019901 97, 019901 (E) (2006).
8. B. M. Mladek, M. J. Fernaud, G. Kahl, and M. Neumann, Condens. Matter Phys. CMPHF5 1607-324X 8, 135 (2005).
9. C. N. Likos, B. M. Mladek, D. Gottwald, and G. Kahl, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2738064 126, 224502 (2007).
10. F. H. Stillinger and D. K. Stillinger, Physica A PHYADX 0378-4371 10.1016/S0378-4371(97)00246-X 244, 358 (1997).
11. H. Graf and H. Löwen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.57.5744 57, 5744 (1998).
12. A. Lang, C. N. Likos, M. Watzlawek, and H. Löwen, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/12/24/302 12, 5087 (2000).
13. A. A. Louis, P. G. Bolhuis, and J.-P. Hansen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.7961 62, 7961 (2000).
14. C. N. Likos, A. Lang, M. Watzlawek, and H. Löwen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.031206 63, 031206 (2001).
15. R. Finken, J.-P. Hansen, and A. A. Louis, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1022136624854 110, 1015 (2003).
16. B. M. Mladek, G. Kahl, and M. Neumann, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2167646 124, 064503 (2006).
17. S. Prestipino, F. Saija, and P. V. Giaquinta, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.050102 71, 050102 (R) (2005);
18. S. Prestipino, F. Saija, and P. V. Giaquinta, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2064639 123, 144110 (2005);
19. P. V. Giaquinta and F. Saija, ChemPhysChem CPCHFT 1439-4235 10.1002/cphc.200400565 6, 1768 (2005);
20. F. Saija, S. Prestipino, and P. V. Giaquinta, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2208357 124, 244504 (2006).
21. K. Hiroike, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.12.326 12, 326 (1957).
22. L. Groome, J. W. Dufty, and M. J. Lindenfeld, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.19.304 19, 304 (1979).
23. C. Marquest and T. A. Witten, J. Phys. (France) JOPQAG 0302-0738 50, 1267 (1989).
24. W. Klein, H. Gould, R. A. Ramos, I. Clejan, and A. I. Mel'cuk, Physica A PHYADX 0378-4371 10.1016/0378-4371(94)90233-X 205, 738 (1994).
25. C. N. Likos, M. Watzlawek, and H. Löwen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.3135 58, 3135 (1998).
26. M. Schmidt, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/11/50/309 11, 10163 (1999).
27. M. J. Fernaud, E. Lomba, and L. L. Lee, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.480649 112, 810 (2000).
28. Y. Rosenfeld, M. Schmidt, M. Watzlawek, and H. Löwen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.5006 62, 5006 (2000).
29. M. Schmidt and M. Fuchs, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1503303 117, 6308 (2002).
30. S.-C. Kim and S.-Y. Suh, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1518689 117, 9880 (2002).
31. N. Choudhury and S. K. Ghosh, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1589747 119, 4827 (2003).
32. L. Acedo and A. Santos, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2004.02.039 323, 427 (2004).
33. A. Santos, in Rarefied Gas Dynamics: 24th International Symposium on Rarefied Gas Dynamics, edited by, M. Capitelli, AIP Conf. Proc. No. 762 (AIP, Melville, NY, 2005), pp. 276-281.
34. A. Santos, Mol. Phys. MOPHAM 0026-8976 104, 3411 (2006).
35. Al. Malijevský and A. Santos, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2166385 124, 074508 (2006).
36. A. Santos and Al. Malijevský, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.75.021201 75, 021201 (2007);
37. A. Santos and Al. Malijevský, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.75.049901 75, 049901 (E) (2007).
38. S. Labík and A. Malijevský, Mol. Phys. MOPHAM 0026-8976 10.1080/00268978400102381 53, 381 (1984).
39. J. A. Cuesta and A. Sánchez, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/35/10/303 35, 2373 (2002);
40. J. A. Cuesta and A. Sánchez, J. Stat. Phys. JSTPBS 0022-4715 10.1023/B:JOSS.0000022373.63640.4e 115, 869 (2004).
41. R. Balescu, Equilibrium and Nonequilibrium Statistical Mechanics (Wiley, New York, 1974).
42. J.-P. Hansen and I. R. McDonald, Theory of Simple Liquids, 3rd. ed. (Academic Press, London, 2006).
43. L. L. Lee, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.469998 103, 9388 (1995);
44. L. L. Lee, D. Ghonasgi, and E. Lomba, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.471522 104, 8058 (1996);
45. L. L. Lee and A. Malijevský, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1359182 114, 7109 (2001).
46. S. B. Yuste and A. Santos, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.43.5418 43, 5418 (1991).
47. M. López de Haro, S. B. Yuste, and A. Santos, in Playing with Marbles: Theory and Simulation of Hard-Sphere Fluids and Related Systems, edited by, A. Mulero, (Springer, in press);
48. e-print arXiv:0704.0157 [cond-mat.stat-mech].
49. J. Abate and W. Whitt, Queueing Syst. ZZZZZZ 0257-0130 10, 5 (1992).