Rate of equilibration of a one-dimensional Wigner crystal
Strongly Correlated Electrons
2012-04-06 v2 Mesoscale and Nanoscale Physics
Abstract
We consider a system of one-dimensional spinless particles interacting via long-range repulsion. In the limit of strong interactions the system is a Wigner crystal, with excitations analogous to phonons in solids. In a harmonic crystal the phonons do not interact, and the system never reaches thermal equilibrium. We account for the anharmonism of the Wigner crystal and find the rate at which it approaches equilibrium. The full equilibration of the system requires umklapp scattering of phonons, resulting in exponential suppression of the equilibration rate at low temperatures.
Keywords
Cite
@article{arxiv.1109.3719,
title = {Rate of equilibration of a one-dimensional Wigner crystal},
author = {K. A. Matveev and A. V. Andreev and M. Pustilnik},
journal= {arXiv preprint arXiv:1109.3719},
year = {2012}
}
Comments
Prepared for the proceedings of the International School and Workshop on Electronic Crystals, ECRYS-2011