Liquid-to-hexatic phase transition in a quasi-two-dimensional colloid system

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

Volumn 78, Issue 1, 2008, Pages

  Xu, Xinliang ^a   Rice, Stuart A ^a  

^a UNIVERSITY OF CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COLLOID CHEMISTRY; COLLOIDS; CORRELATION METHODS; FORECASTING; INTEGRAL EQUATIONS; ISOMERS; LIQUIDS; PHASE SEPARATION; POWDERS; SEPARATION; SPHERES; TWO DIMENSIONAL; WALLS (STRUCTURAL PARTITIONS);

CONFINING WALL SEPARATION; CRYSTAL PHASE TRANSITIONS; HARD SPHERES; HARD-SPHERE COLLOIDS; HEXATIC PHASE; KOSTERLITZ-THOULESS; LOWER DENSITY; PAIR-CORRELATION FUNCTIONS; THICKNESS DEPENDENCES; TWO-DIMENSIONAL SYSTEMS; WALL SEPARATIONS;

LIQUID PHASE EPITAXY;

EID: 48349143524     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.011602     Document Type: Article

References (35)

1. J. M. Kosterlitz and D. J. Thouless, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/5/11/002 5, L124 (1972).
2. J. M. Kosterlitz and D. J. Thouless, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/6/7/010 6, 1181 (1973).
3. B. I. Halperin and D. R. Nelson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.41.121 41, 121 (1978).
4. D. R. Nelson and B. I. Halperin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.19.2457 19, 2457 (1979).
5. A. P. Young, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.19.1855 19, 1855 (1979).
6. K. Zahn, R. Lenke, and G. Maret, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.2721 82, 2721 (1999).
7. A. H. Marcus and S. A. Rice, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.2577 77, 2577 (1996).
8. C. H. Mak, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.065104 73, 065104 (R) (2006).
9. M. P. Allen, D. Frenkel, and W. Gignac, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.445098 78, 4206 (1983).
10. D. H. Van Winkle and C. A. Murray, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.34.562 34, 562 (1986).
11. C. A. Murray, W. O. Sprenger, and R. A. Wenk, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.42.688 42, 688 (1990).
12. C. A. Murray, Bond-Orientational Order in Condensed Matter Systems, edited by, K. J. Strandburg, (Springer, New York, 1992).
13. M. Schmidt and H. Lowen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.55.7228 55, 7228 (1997).
14. E. A. Arinshtein, Dokl. Akad. Nauk SSSR DANKAS 0002-3264 112, 615 (1957);
15. F. H. Stillinger and F. P. Buff, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1732927 37, 1 (1962).
16. J. E. Mayer, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1746468 15, 187 (1947).
17. B. Bagchi, C. Cerjan, and S. A. Rice, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.28.6411 28, 6411 (1983).
18. B. Bagchi, C. Cerjan, and S. A. Rice, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.445680 79, 5595 (1983).
19. C. Cerjan, B. Bagchi, and S. A. Rice, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.449281 83, 2376 (1985).
20. E. Meeron, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1743985 27, 1238 (1957).
21. E. E. Salpeter, Ann. Phys. ANPYA2 0003-3804 10.1016/0003-4916(58)90058-7 5, 183 (1958).
22. G. Stell, Physica (Amsterdam) PHYSAG 0031-8914 29, 517 (1963);
23. in The Equilibrium Theory of Classical Fluids, edited by, H. L. Frish, and, J. L. Lebowitz, (Benjamin, New York, 1964), pp. 11-171.
24. S. A. Rice and J. Lekner, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1695762 42, 3559 (1965).
25. D. A. Young and S. A. Rice, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1840700 46, 539 (1967).
26. W. J. McNeil, W. G. Madden, A. D. J. Haymet, and S. A. Rice, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.444514 78, 388 (1983).
27. A. D. J. Haymet, S. A. Rice, and W. G. Madden, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.441427 74, 3033 (1981).
28. J. P. Hansen and J. R. McDonald, Theory of Simple Liquids (Academic Press, New York, 1976), Chap..
29. S. A. Rice and P. Gray, The Statistical Mechanics of Simple Liquids (Wiley, New York, 1965), Chap..
30. Very little information about (k) is available. For some experiment indications, see J. D. Brock, Bond-Orientational Order in Condensed Matter Systems, edited by, K. J. Strandburg, (Springer, New York, 1992).
31. F. H. Ree and W. G. Hoover, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1725286 40, 939 (1963).
32. D. Frydel and S. Y. Sheu (private communication).
33. X. L. Xu, Ph.D. thesis, University of Chicago, 2007.
34. X. L. Xu and S. A. Rice, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 10.1098/rspa.2007.0115 464, 65 (2008).
35. V. N. Ryzhov and E. E. Tareyeva, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.51.8789 51, 8789 (1995).