Universal law of thermalization for one-dimensional perturbed Toda lattices release_hlysfdorprbrvc5qxf2rpw4vle

by Weicheng Fu, Yong Zhang, Hong Zhao

Released as a article .

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.
In text/plain format

Archived Files and Locations

application/pdf  774.4 kB
file_ihzqoihijjaernv5ront5dssom
arxiv.org (repository)
web.archive.org (webarchive)
Read Archived PDF
Preserved and Accessible
Type  article
Stage   accepted
Date   2019-01-15
Version   v2
Language   en ?
arXiv  1901.04245v2
Work Entity
access all versions, variants, and formats of this works (eg, pre-prints)
Catalog Record
Revision: d1c12f2f-ab78-4cb2-9592-b4dc3f8856f6
API URL: JSON