Viscoelasticity from a Microscopic Model of Dislocation Dynamics
软凝聚态物质
2009-11-07 v1 统计力学
摘要
It is shown that the dynamics of a two-dimensional crystal with a finite concentration of dislocations, as well as vacancy and interstitial defects, is governed by the hydrodynamic equations of a viscoelastic medium. At the longest length scales the viscoelasticity is described by the simplest Maxwell model, whose shear and compressional relaxation times are obtained in terms of microscopic quantities, including the density of free dislocations. At short length scales, bond orientational order effects become important and lead to wavevector dependent corrections to the relaxation times.
引用
@article{arxiv.cond-mat/0205024,
title = {Viscoelasticity from a Microscopic Model of Dislocation Dynamics},
author = {M. Cristina Marchetti and Karl Saunders},
journal= {arXiv preprint arXiv:cond-mat/0205024},
year = {2009}
}
备注
8 pages, 1 figure, submitted to Phys. Rev. B