Dislocation-mediated melting near isostructural critical points

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

Volumn 53, Issue 3, 1996, Pages 2560-2570

  Chou, T ^a   Nelson, David R ^b  

^a Laboratory of Atomic and Solid State Physics and Sibley School of Mechanical and Aerospace Engineering   (United States)

^b HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0004456495     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/physreve.53.2560     Document Type: Article

References (47)

1. P. Bolhuis, M. Hagen, and D. Frenkel, Phys. Rev. E 50, 4880 (1994).
2. P. Bladon and D. Frenkel, Phys. Rev. Lett. 74, 2519 (1995).
3. C. F. Tejero, A. Daanoun, H. N. W. Lekkerkerker, and M. Baus, Phys. Rev. E 51, 558 (1995).
4. H. Xia, A. L. Ruoff, and Y. K. Vohra, Phys. Rev. B 44, 10374 (1991).
5. E. A. Kamenetzky, L. G. Magliocco, and H. P. Panzer, Science 263, 207 (1994).
6. R. J. Hunter, Foundations of Colloid Science (Oxford, New York, 1992), Vols. I and II; P. N. Pusey, in Liquids, Freezing and Glass Transition, edited by J. P. Hansen, D. Levesque, and J. Zinn-Zustin (North-Holland, Amsterdam, 1991).
7. R. J. Hunter, Foundations of Colloid Science (Oxford, New York, 1992), Vols. I and II; P. N. Pusey, in Liquids, Freezing and Glass Transition, edited by J. P. Hansen, D. Levesque, and J. Zinn-Zustin (North-Holland, Amsterdam, 1991).
8. T. Chou and D. R. Nelson, Phys. Rev. E 48, 4611 (1993).
9. D. H. Van Winkle and C. A. Murray, Phys. Rev. A 34, 562 (1986); P. Pansu, P. Pieranski, and L. Strzelecki, J. Phys. (Paris) 44, 531 (1983); see also Bond Orientational Order, edited by K. Strandberg (Springer, New York, 1991).
10. D. H. Van Winkle and C. A. Murray, Phys. Rev. A 34, 562 (1986); P. Pansu, P. Pieranski, and L. Strzelecki, J. Phys. (Paris) 44, 531 (1983); see also Bond Orientational Order, edited by K. Strandberg (Springer, New York, 1991).
11. D. H. Van Winkle and C. A. Murray, Phys. Rev. A 34, 562 (1986); P. Pansu, P. Pieranski, and L. Strzelecki, J. Phys. (Paris) 44, 531 (1983); see also Bond Orientational Order, edited by K. Strandberg (Springer, New York, 1991).
12. D. Y. C. Chan, J. D. Henry, and L. R. White, J. Colloid Interface Sci. 70, 410 (1981).
13. H. N. W. Lekkerkerker and G. J. Vroege, in Fundamental Problems in Satistical Mechanics VIII, Proceedings of the 1993 Altenberg Summer School (North-Holland, Amsterdam, 1994).
14. J. G. Kirkwood, J. Chem. Phys. 7, 919 (1939).
15. V. N. Ryzhov and E. E. Tareyeva, Phys. Rev. B 51, 8789 (1995).
16. B. J. Alder and T. E. Wainwright, J. Chem. Phys. 27, 1208 (1958).
17. M. H. J. Hagen and D. Frenkel, J. Chem. Phys. 101, 4093 (1994).
18. A. P. Gast, C. K. Hall, and W. B. Russell, J. Colloid Interface Sci. 96, 251 (1983).
19. D. R. Nelson, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. Lebowitz (Academic, London, 1984), Vol. 7; K. Strandburg, Rev. Mod. Phys. 60, 161 (1988); for another presentation of elasticity theory of defects and alternative melting models, see H. Kleinert, Gauge Fields in Condensed Matter (World Scientific, Singapore, 1989), Vol. 2.
20. D. R. Nelson, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. Lebowitz (Academic, London, 1984), Vol. 7; K. Strandburg, Rev. Mod. Phys. 60, 161 (1988); for another presentation of elasticity theory of defects and alternative melting models, see H. Kleinert, Gauge Fields in Condensed Matter (World Scientific, Singapore, 1989), Vol. 2.
21. D. R. Nelson, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. Lebowitz (Academic, London, 1984), Vol. 7; K. Strandburg, Rev. Mod. Phys. 60, 161 (1988); for another presentation of elasticity theory of defects and alternative melting models, see H. Kleinert, Gauge Fields in Condensed Matter (World Scientific, Singapore, 1989), Vol. 2.
22. J. D. Brock, R. J. Birgeneau, J. D. Litster, and A. Aharony, Contemp. Phys. 30, 321 (1989).
23. R. Seshadri and R. M. Westervelt, Phys. Rev. B 46, 5150 (1992); R. Seshadri and R. M. Westervelt, Helv. Phys. Acta (Switzerland) 65, 473 (1992).
24. R. Seshadri and R. M. Westervelt, Phys. Rev. B 46, 5150 (1992); R. Seshadri and R. M. Westervelt, Helv. Phys. Acta (Switzerland) 65, 473 (1992).
25. D. S. Fisher, B. I. Halperin, and R. Morf, Phys. Rev. B 20, 4692 (1979).
26. K. Chen, T. Kaplan, and M. Mostoller, Phys. Rev. Lett. 70, 4019 (1995).
27. A. Jayaraman, Phys. Rev. 137, A179 (1965); I. G. Zakrevskii, V. V. Kokorin, and V. A. Chernenko, Dokl. Akad. Nauk SSSR 291, 345 (1986) [Sov. Phys. Dokl. 31, 911 (1986)]; Yu. V. Knyazev, M. M. Kirillova, Yu. I. Kuzmin, and E. Z. Rivman, Fiz. Nizh. Temp. 17, 1143 (1991) [Sov. J. Low Temp. Phys. 17, 559 (1991)].
28. A. Jayaraman, Phys. Rev. 137, A179 (1965); I. G. Zakrevskii, V. V. Kokorin, and V. A. Chernenko, Dokl. Akad. Nauk SSSR 291, 345 (1986) [Sov. Phys. Dokl. 31, 911 (1986)]; Yu. V. Knyazev, M. M. Kirillova, Yu. I. Kuzmin, and E. Z. Rivman, Fiz. Nizh. Temp. 17, 1143 (1991) [Sov. J. Low Temp. Phys. 17, 559 (1991)].
29. A. Jayaraman, Phys. Rev. 137, A179 (1965); I. G. Zakrevskii, V. V. Kokorin, and V. A. Chernenko, Dokl. Akad. Nauk SSSR 291, 345 (1986) [Sov. Phys. Dokl. 31, 911 (1986)]; Yu. V. Knyazev, M. M. Kirillova, Yu. I. Kuzmin, and E. Z. Rivman, Fiz. Nizh. Temp. 17, 1143 (1991) [Sov. J. Low Temp. Phys. 17, 559 (1991)].
30. A. Jayaraman, Phys. Rev. 137, A179 (1965); I. G. Zakrevskii, V. V. Kokorin, and V. A. Chernenko, Dokl. Akad. Nauk SSSR 291, 345 (1986) [Sov. Phys. Dokl. 31, 911 (1986)]; Yu. V. Knyazev, M. M. Kirillova, Yu. I. Kuzmin, and E. Z. Rivman, Fiz. Nizh. Temp. 17, 1143 (1991) [Sov. J. Low Temp. Phys. 17, 559 (1991)].
31. A. Jayaraman, Phys. Rev. 137, A179 (1965); I. G. Zakrevskii, V. V. Kokorin, and V. A. Chernenko, Dokl. Akad. Nauk SSSR 291, 345 (1986) [Sov. Phys. Dokl. 31, 911 (1986)]; Yu. V. Knyazev, M. M. Kirillova, Yu. I. Kuzmin, and E. Z. Rivman, Fiz. Nizh. Temp. 17, 1143 (1991) [Sov. J. Low Temp. Phys. 17, 559 (1991)].
32. B. Alder and D. Young, J. Chem. Phys. 70, 473 (1979).
33. J. Y. Wang, D. Vaknin, R. A. Uphaus, K. Kjaer, and M. Losche, Thin Solid Films 242, 40 (1994).
34. D. R. Nelson and B. I. Halperin, Phys. Rev. B 19, 2457 (1979).
35. A. P. Young, Phys. Rev. B 19, 1855 (1979).
36. N. Goldenfeld, Lectures on Phase Transitions and the Renormalization Group (Addison-Wesley, Reading, MA, 1992); S. K. Ma, Statistical Mechanics (World Scientific, Singapore, 1985).
37. N. Goldenfeld, Lectures on Phase Transitions and the Renormalization Group (Addison-Wesley, Reading, MA, 1992); S. K. Ma, Statistical Mechanics (World Scientific, Singapore, 1985).
38. L. D. Landau and E. M. Lifshitz, Theory of Elasticity (Pergamon, New York, 1970).
39. D. J. Bergman and B. I. Halperin, Phys. Rev. B 13, 2145 (1976).
40. J. Sak, Phys. Rev. B 10, 3957 (1974).
41. D. R. Nelson, Phys. Rev. B 27, 2902 (1983).
42. A. Zippelius, B. I. Halperin, and D. R. Nelson, Phys. Rev. B 22, 2514 (1980).
43. A. I. Larkin and S. A. Pikin, Zh. Eksp. Teor. Fiz. 56, 1664 (1969) [Sov. Phys. JETP 29, 891 (1969)].
44. A. I. Larkin and S. A. Pikin, Zh. Eksp. Teor. Fiz. 56, 1664 (1969) [Sov. Phys. JETP 29, 891 (1969)].
45. M. Kosterlitz and D. J. Thouless, J. Phys. C 6, 1181 (1973).
46. I[ψ]. However, approaching the critical point (CP), these higher-order terms are negligible and the hexatic bubble becomes symmetric.
47. D. R. Nelson, Phys. Rev. B 18, 2318 (1978).