Grain Boundary Diffusion in a Peierls-Nabarro Potential

Details Grain Boundary Diffusion in a Peierls-Nabarro Potential Grain Boundary Diffusion in a Peierls-Nabarro Potential

2007-10-03

arxiv.org/abs/0710.0807v1

J. Stat. Mech. (2007) P12004

Physics

Condensed Matter

Statistical Mechanics

12 pages, 8 figures

Scientific paper

We investigate the diffusion of a grain boundary in a crystalline material. We consider in particular the case of a regularly spaced low-angle grain boundary schematized as an array of dislocations that interact with each other through long-range stress fields and with the crystalline Peierls-Nabarro potential. The methodology employed to analyze the dynamics of the center of mass of the grain boundary and its spatio-temporal fluctuations is based on over-damped Langevin equations. The generality and the efficiency of this technique is proved by the agreement with molecular dynamics simulations.

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