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Nonlinear Molecular Dynamics and Monte Carlo Simulations of Crystals at Constant Temperature and Tensorial Pressure

Published online by Cambridge University Press:  01 January 1992

J.V. Lill*
Affiliation:
Naval Research Laboratory Complex Systems Theory Branch, Code 6692 Washington, DC 20375 - 5345
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Abstract

Complimentary molecular dynamics and Metropolis Monte Carlo algorithms for the atomistic simulation of crystals at constant temperature and homogeneous tensorial pressure are summarized. The novel aspect of computational physics which unites these methods is the extension of the virial theorem to nonlinear elastic media. This guarantees the dynamical balance between the internal pressure, as determined by the interatomic potential, and effective external pressure, as determined by the applied laboratory pressure, and includes the elastic response of the material. Numerical examples are presented.

Type
Research Article
Copyright
Copyright © Materials Research Society 1993

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References

REFERENCES

1 Lill, J. V. and Broughton, Jeremy Q., Phys. Rev. B. 46, 12068 (1992).Google Scholar
2 Lill, J. V. and Broughton, Jeremy Q. (manuscript in preparation).Google Scholar
3 Murnaghan, Francis D., Finite Deformations of an Elastic Solid (John Wiley & Sons, Inc., New York 1951).Google Scholar
4 Thurston, R. N., “Wave Propagation in Fluids and Normal Solids”; pages 1110 in Physical Acoustics: Principles and Methods, edited by Mason, Warren P. (Academic Press, New York 1964).Google Scholar
5 Andersen, Hans C., J. Chem. Phys. 72, 2384 (1980).Google Scholar
6 Parrinello, M. and Rahman, A., Phys. Rev. Lett. 45, 1196 (1980).Google Scholar
7 Parrinello, M. and Rahman, A., J. Appl. Phys. 52, 7182 (1981).Google Scholar
8 Nosé, Shuichi, Mol. Phys. 52, 255 (1984).Google Scholar
9 Nosé, Shuichi, J. Chem. Phys. 81, 511 (1984).Google Scholar
10 Hoover, William G., Phys. Rev. A 31, 1695 (1985).Google Scholar
11 Abraham, Farid F., Adv. in Phys. 35, 1 (1986).Google Scholar
12 Ray, John R. and Rahman, Aneesur, J. Chem. Phys. 80, 4423 (1984).Google Scholar
13 Ray, John R. and Rahman, Aneesur, J. Chem. Phys. 82, 4243 (1985).Google Scholar
14 Wentzcovitch, Renata M., Phys. Rev. B 44, 2358 (1991).Google Scholar
15 Nye, J. F., Physical Properties of Crystals, chapter V (Oxford University Press, London 1957).Google Scholar
16 Nosé, Shuichi and Klein, M. L., Mol. Phys. Rev. 50, 1055 (1983).Google Scholar
17 Allen, M. P. and Tildesley, D. J., Computer Simulations of Liquids (Clarendon Press, Oxford 1987).Google Scholar
18 Koonin, Steven E., Computational Physics (Benjamin/Cummings, Menlo Park 1983).Google Scholar
19 Lee, Kar Yue and Ray, John R., Phys Rev. B 39, 565 (1989).Google Scholar
20 Khachaturyan, A. G., Theory of Structural Transformations in Solids, chapter 7 (John Wiley & Sons, New York 1983).Google Scholar
21 Li, Mo and Johnson, William L., Phys. Rev. B. 46, 5327 (1992).Google Scholar