Viscoelasticity from a Microscopic Model of Dislocation Dynamics

Details Viscoelasticity from a Microscopic Model of Dislocation Dynamics Viscoelasticity from a Microscopic Model of Dislocation Dynamics

2002-05-02

arxiv.org/abs/cond-mat/0205024v1

Phys. Rev. B 66 224113 (2002)

Physics

Condensed Matter

Soft Condensed Matter

8 pages, 1 figure, submitted to Phys. Rev. B

Scientific paper

10.1103/PhysRevB.66.224113

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.

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