Article ID Journal Published Year Pages File Type
1896833 Physica D: Nonlinear Phenomena 2009 11 Pages PDF
Abstract

Statistical mechanics explains many localization phenomena of lattices such as the discrete nonlinear Schrödinger equation. However, numerical simulations show that the complete thermalization is rarely achieved. Instead, one observes metastable statistical states that are robust when excited locally. This paper investigates thermodynamically metastable states where the trajectory is confined to some part of the energy shell. The partition function and the entropy are computed with a perturbation method. This method is applicable to stable and metastable states, and it allows us to give approximative analytic expressions for the entropy in the complete thermodynamic state space.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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