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Universal law of thermalization for one-dimensional perturbed Toda
lattices
release_hlysfdorprbrvc5qxf2rpw4vle
by
Weicheng Fu, Yong Zhang, Hong Zhao
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as a article
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2019
Abstract
The Toda lattice is a nonlinear but integrable system. Here we study the
thermalization problem in one-dimensional, perturbed Toda lattices in the
thermodynamic limit. We show that the thermalization time, T_eq, follows a
universal law; i.e., T_eq∼ϵ^-2, where the perturbation
strength, ϵ, characterizes the nonlinear perturbations added to the
Toda potential. This universal law applies generally to weak nonlinear lattices
due to their equivalence to perturbed Toda systems.
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1901.04245v2
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