Observation of a two-stage melting transition in two dimensions

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

Volumn 53, Issue 4, 1996, Pages 3794-3803

  Bagchi, Ken ^a   Andersen, Hans C ^a   Swope, William ^b  

^a STANFORD UNIVERSITY   (United States)

^b IBM ALMADEN RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000551727     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.53.3794     Document Type: Article

References (38)

1. J.M. Kosterlitz and D.J. Thouless, J. Phys. Chem.6, 1181 (1973).
2. A.P. Young, Phys. Rev. B19, 1855 (1979).
3. B.I. Halperin and D.R. Nelson, Phys. Rev. Lett.41, 121 (1978);
4. D.R. Nelson and B.I. Halperin, Phys. Rev. B19, 2457 (1979).
5. D. Frenkel and J.P. McTague, Phys. Rev. Lett.42, 1632 (1979).
6. J. Tobochnik and G.V. Chester, in Ordering in Two Dimensions, edited by S.K. Sinha (North-Holland, Amsterdam, 1980), p. 339.
7. J.A. Zollweg, G.V. Chester and P.W. Leung, Phys. Rev. B39, 9518 (1989).
8. J.A. Zollweg and G.V. Chester, Phys. Rev. B46, 11t186 (1992).
9. K. Naidoo and J. Schnitker, J. Chem. Phys.100, 3114 (1994).
10. K. Chen, T. Kaplan and M. Mostoller, Phys. Rev. Lett.74, 4019 (1995).
11. F.F. Abraham, Phys. Rev. Lett.44, 463 (1980);
12. F.F. Abraham, in Ordering in Two Dimensions (Ref. 5, p. 155;
13. J.A. Barker, D. Hendersen and F.F. Abraham, Physica A (Utrecht)106, 226 (1981).
14. S. Toxvaerd, Phys. Rev. Lett.44, 1002 (1980).
15. F. van Swol, L.V. Woodcock and J.N. Cape, J. Chem. Phys.73, 913 (1980).
16. J.Q. Broughton, G.H. Gilmer and J.D. Weeks, Phys. Rev. B25, 4651 (1982).
17. J. Lee and K. Strandburg, Phys. Rev. B46, 11t190 (1992).
18. H. Weber and D. Marx, Europhys. Lett.27, 593 (1994).
19. K. Naidoo, J. Schnitker and J.D. Weeks, Mol. Phys.80, 1 (1993).
20. K.J. Strandburg, Rev. Mod. Phys.60, 161 (1988).
21. Omitted end note.
22. Strictly speaking, the scaling property applies only to the untruncated potential.
23. W.C. Swope, H.C. Andersen, P.H. Berens and K.R. Wilson, J. Chem. Phys.76, 637 (1982).
24. H.C. Andersen, J. Chem. Phys.72, 2384 (1980).
25. M.P. Allen and D.J. Tildesley, Computer Simulation of Liquids (Clarendon, Oxford, 1987), p. 47.
26. W.C. Swope and H.C. Andersen, J. Chem. Phys.102, 2851 (1995).
27. S. Duane, A.D. Kennedy, B.J. Pendelton and D. Roweth, Phys. Rev. Lett.195, 216 (1987);
28. S. Gupta, A. Irbäck, F. Karsh and B. Petersson, Phys. Lett. B242, 437 (1990);
29. R. Gupta, G.W. Kilcup and S.R. Sharpe, Phys. Rev. D38, 1278 (1988);
30. A.D. Kennedy and B. Pendleton, Nucl. Phys. B (Proc. Suppl.)20, 118 (1991);
31. M.E. Clamp, P.G. Baker, C.J. Stirling and A. Brass, J. Comput. Chem.15, 838 (1994).
32. P.J. Diggle, Time Series (Oxford University Press, Oxford, 1990); J.D. Cryer, Time Series Analysis (PWS-Kent, Boston, 1986).
33. H.C. Andersen, K. Bagchi, and W.C. Swope (unpublished).
34. J. Lee and J.M. Kosterlitz, Phys. Rev. Lett.65, 137 (1990);
35. J. Lee and J.M. Kosterlitz, Phys. Rev. B43, 1268 (1991).
36. K. Binder, Phys. Rev. Lett.47, 693 (1981);
37. K. Binder, Z. Phys. B43, 119 (1981).
38. H. Flyvbjerg and H.G. Petersen, J. Chem. Phys.91, 461 (1989).