Relaxation of classical particles in anharmonic multi-well potentials

Surajit Sen, Robert S. Sinkovits and Soumya Chakravarti

Physica A: Statistical Mechanics and its Applications, 1996, vol. 224, issue 1, 292-301

Abstract: Using extensive numerical and some exact asymptotic analyses, we argue that the canonical ensemble relaxation of a classical particle in an anharmonic multi-well potential landscape with leading quartic anharmonicity exhibits a 1/t decay to equilibrium. In addition, we provide numerical evidence of algebraic decay of form 1/tφ, 0 < φ < 1, for stronger leading anharmonicities. Our results have important consequences for relaxation studies in several problems of considerable interest in condensed matter physics such as in the Krumhansl-Schrieffer model of displacive structural phase transitions, and in various complex systems.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:224:y:1996:i:1:p:292-301

DOI: 10.1016/0378-4371(95)00391-6

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