Liquid-like behavior in solids

Molecular Simulation

Volumn 16, Issue 1-3, 1996, Pages 127-137

  Frenkel, Daan ^a   Bladon, Peter ^a   Bolhuis, Peter ^a   Hagen, Maarten ^a  

^a FOM INSTITUTE AMOLF   (Netherlands)

Author keywords

Colloids; Hexatic phase; Liquid vapor transition; Solid solid transition

Indexed keywords

EID: 0011776130     PISSN: 08927022     EISSN: None     Source Type: Journal    
DOI: 10.1080/08927029608024067     Document Type: Article

References (37)

1. For an English translation of the thesis of van der Waals with a beautiful introductory essay, the reader is referred to the book by J. S. Rowlinson, Studies in Statistical Mechanics, Vol. XIV, J. L. Lebowitz (editor), North Holland, Amsterdam (1988).
2. P. C. Hemmer and J. L. Lebowitz, in Critical Phenomena and Phase Transitions 5b, C. Domb and M. Green (editors), Academic Press, New York (1976).
3. "A rigid-sphere model for the melting of argon", H. C. Longuet-Higgins and B. Widom, Mol. Phys., 8, 549 (1964).
4. "About Liquids", V. F. Weisskopf, Trans. NY Acad. Sci. Ser. II, 38, 202 (1977).
5. "Polymer-induced phase separation in non-aqueous colloidal suspension", A. P. Gast, C. K. Hall and W. B. Russel, J. Coll. Inter Sci., 96, 251 (1983).
6. "Interaction between particles suspended in solutions of macro molecules", S. Asakura and F. Oosawa, J. Pol. Sci., 33, 183 (1958).
7. "Colloidal suspensions", P. N. Pusey, in Liquids, freezing and glass transition, J. P. Hansen, D. Levesque and J. Zinn-Justin (editors), North Holland, Amsterdam, 1991, p. 763.
8. "Computer simulation of polymer-induced clustering of colloids", E. J. Meijer and D. Frenkel, Phys. Rev. Lett., 67, 1110 (1991).
9. "Colloids dispersed in polymer solutions. A computer simulation study", E. J. Meijer and D. Frenkel, J. Chem Phys., 100, 6873 (1994).
10. "Determination of the phase diagrams for the hard-core atrractive Yukawa system", M. H. J. Hagen and D. Frenkel, J. Chem. Phys., 101, 4093 (1004).
11. 60 have a liquid phase?", M. H. J. Hagen, E. J. Meijer, G. C. A. M. Mooij, D. Frenkel and H. N. W. Lekkerkerker, Nature, 365, 425 (1993).
12. "Prediction of a expanded-to-condensed transition in colloidal crystals", P. Bolhuis and D. Frenkel, Phys. Rev. Lett., 72, 2211 (1994).
13. "Isostructural solid-solid transition in crystalline systems with shortrangedinteraction", P. G. Bolhuis and M. H. J. Hagen and D. Frenkel, Phys. Rev., E50: 4880-4890 (1994).
14. "Phase diagrams of 'simple' fluids with extreme pair potentials", C. F. Tejero, A. Daanoun, H. N. W. Lekkerkerker and M. Baus, Phys. Rev. Lett., 73, 752 (1994)
15. (see also: "A van der Waals theory for solids", A. Daanoun, C. F. Tejero and M. Baus, Phys. Rev., E50: 2913 (1994),
16. "Density-functional theory of colloid-solid isostructural transitions", C. N. Likos, Zs. T. Németh and H. Löwen, J. Phys. Condensed Matter, 6, 10965 (1994).
17. See e.g.: "Free energy computation and first-order phase transitions", D. Frenkel, in Molecular Dynamics Simulation of Statistical Mechanical Systems, G. Ciccotti and W. G. Hoover (editors), North-Holland, Amsterdam (1986), p. 151.
18. See, e.g. J. A. Barker, Lattice Theories of the Liquid State, Pergamon, Oxford (1963).
19. "Fusion curve of Cerium to 70 kilobar and phenomena associated with supercritical behavior of fcc Cerium", A. Jayaraman, Phys. Rev., 137, A179 (1965).
20. "Dislocation unbinding in dense two-dimensional crystals", P. Bladon and D. Frenkel, Phys. Rev. Lett., 74, 2519-2522 (1995).
21. R. Peierls, Surprises in Theoretical Physics, Princeton University Press, Princeton (1979).
22. "Long-range order and metastability in two-dimensional solids and superfluids", J. M. Kosterlitz and D. J. Thouless, J. Phys. C, 5, L124 (1972); "Ordering, metastability and phase transitions in two-dimensional systems", J. M. Kosterlitz and D. J. Thouless, J. Phys. C, 6, 1181 (1973).
23. "Long-range order and metastability in two-dimensional solids and superfluids", J. M. Kosterlitz and D. J. Thouless, J. Phys. C, 5, L124 (1972); "Ordering, metastability and phase transitions in two-dimensional systems", J. M. Kosterlitz and D. J. Thouless, J. Phys. C, 6, 1181 (1973).
24. "Theory of two-dimensional melting, B. I. Halperin and D. R. Nelson, Phys. Rev. Lett., 41, 121 (1978); "Dislocation-mediated melting in two dimensions", D. R. Nelson and B. I. Halperin. Phys. Rev., B19, 2457 (1979); see also: "Melting and the vector-Coulomb gas in two dimensions", A. P. Young, Phys. Rev., B19, 1855 (1979).
25. "Theory of two-dimensional melting, B. I. Halperin and D. R. Nelson, Phys. Rev. Lett., 41, 121 (1978); "Dislocation-mediated melting in two dimensions", D. R. Nelson and B. I. Halperin. Phys. Rev., B19, 2457 (1979); see also: "Melting and the vector-Coulomb gas in two dimensions", A. P. Young, Phys. Rev., B19, 1855 (1979).
26. "Theory of two-dimensional melting, B. I. Halperin and D. R. Nelson, Phys. Rev. Lett., 41, 121 (1978); "Dislocation-mediated melting in two dimensions", D. R. Nelson and B. I. Halperin. Phys. Rev., B19, 2457 (1979); see also: "Melting and the vector-Coulomb gas in two dimensions", A. P. Young, Phys. Rev., B19, 1855 (1979).
27. "Defects in the two-dimensional electron solid and implications for melting", D. S. Fisher, B. I. Halperin and R. Morf, Phys. Rev., B20, 4692 (1979).
28. "Grain-boundary theory of melting in two dimensions", S. T. Chui, Phys. Rev., B28, 178 (1982).
29. "Monte Carlo studies of two-dimensional melting: dislocation vector systems", Y. Saito, Phys. Rev., B26, 6239 (1982).
30. For a recent review see "Melting and Liquid Structure in two dimensions", M. A. Glaser and N. A. Clark, Adv. Chem. Phys., 83, 543 (1993) and references therein.
31. Bond-orientational order in condensed Matter Systems, K. J. Strandburg (editor), Springer, New York (1992).
32. "Phase transition in Elastic Disks", B. J. Alder and T. E. Wainwright, Phys. Rev., 127, 359 (1962).
33. "Melting in two dimensions', J. A. Zollweg and G. V. Chester, Phys. Rev., B46, 11186 (1982);
34. "First-order melting transition of the hard-disk system", J. Lee and K. J. Strandburg, Phys Rev., B46, 11190 (1992);
35. "Two-dimensional melting approached via finite-size scaling of bond-orientational order", H. Weber and D. Marx, Europhys. Lett., 27, 593 (1994).
36. "Attractive potential between confined colloids at low ionic strength" G. M. Kepler and S. Fraden., Phys. Rev. Lett., 73, 356 (1994).
37. See e.g. "Experimental studies of melting and hexatic order in two-dimensional colloidal suspensions", by C. A. Murray in ref. [26].