Finite-time Singularities in Surface-Diffusion Instabilities are Cured by Plasticity

Details Finite-time Singularities in Surface-Diffusion Instabilities are Cured by Plasticity Finite-time Singularities in Surface-Diffusion Instabilities are Cured by Plasticity

2008-02-25

arxiv.org/abs/0802.3404v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 3 figures

Scientific paper

10.1103/PhysRevE.78.027101

A free material surface which supports surface diffusion becomes unstable when put under external non-hydrostatic stress. Since the chemical potential on a stressed surface is larger inside an indentation, small shape fluctuations develop because material preferentially diffuses out of indentations. When the bulk of the material is purely elastic one expects this instability to run into a finite-time cusp singularity. It is shown here that this singularity is cured by plastic effects in the material, turning the singular solution to a regular crack.

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