Solid-solid transitions induced by repulsive interactions
J. Chem. Phys. 114, 2268 (2001); doi:10.1063/1.1321040
Issue Date: 1 February 2001
You are not logged in to this journal. Log in
We show that a rich variety of crystalline structures, and a corresponding diversity of the associated phase diagrams, result from the presence in the pair potential of a soft repulsion in addition to a hard core. We use different forms for the soft repulsion, and show that the results are sensitive to the details of the potentials (in particular, their convexity) even if the range of the soft repulsion is limited to a small fraction of the hard-core diameter. Our demonstration combines exact ground-state analysis with first-order perturbation theory at finite temperatures. The relevance of our work to certain features found in real systems is also discussed. ©2001 American Institute of Physics.
| History: | Received 18 July 2000; accepted 7 September 2000 |
| Permalink: |
http://link.aip.org/link/?JCPSA6/114/2268/1 |
REFERENCES (18)
For access to fully linked references, you need to log in.
For access to fully linked references, you need to Log in.
- D. A. Young, Phase Diagrams of the Elements (University of California Press, Berkeley, CA, 1991).
- P. C. Hemmer and G. Stell,
Phys. Rev. Lett. 24, 1284 (1970) ; - G. Stell and P. C. Hemmer, J. Chem. Phys. 56, 4274 (1972);
- P. Bolhuis and D. Frenkel, Phys. Rev. Lett. 72, 2211 (1994);
- P. Bolhuis and D. Frenkel,
J. Phys.: Condens. Matter 9, 381 (1997) . - C. Rascón, E. Velasco, L. Mederos, and G. Navascués, J. Chem. Phys. 106, 6689 (1997).
- E. Velasco, L. Mederos, and G. Navascués,
Langmuir 14, 5652 (1998) . - C. Rascón, L. Mederos, and G. Navascués, Phys. Rev. E 54, 1261 (1996);
- E. Velasco, L. Mederos, and G. Navascués,
Mol. Phys. 97, 1273 (1999) . - E. Velasco, L. Mederos, G. Navascués, P. C. Hemmer, and G. Stell, Phys. Rev. Lett. 85, 122 (2000).
- Y. Choi and T. Ree, J. Chem. Phys. 95, 7548 (1991).
- H. C. Andersen, J. D. Weeks, and D. Chandler, Phys. Rev. A 4, 1597 (1971).
- J. P. Hansen and I. R. McDonald, Theory of Simple Liquids (Dekker, New York, 1986).
- G. Stell and O. Penrose, Phys. Rev. Lett. 51, 1397 (1983);
- See, for example, K. K. Mon, N. W. Ashcroft, and G. V. Chester, Phys. Rev. B 19, 5103 (1979);
- See, for example, A. Jayaraman, Phys. Rev. A 137, A179 (1965).
- E. A. Jagla, J. Chem. Phys. 111, 8980 (1999).
- T. Head-Gordon and F. H. Stillinger, J. Chem. Phys. 98, 3313 (1993).
- See, for instance, G. Vliegenthart, thesis, Utrecht, 1999.
J. M. Kincaid, G. Stell, and C. K. Hall, J. Chem. Phys. 65, 2161 (1976);
J. M. Kincaid, G. Stell, and E. Goldmark 65, 2172 (1976);
J. Kincaid and G. Stell 67, 420 (1977);
J. M. Lawrence, M. C. Croft, and R. D. Parks, Phys. Rev. Lett. 35, 289 (1975).








