Grain Boundary Roughening Transitions

Details Grain Boundary Roughening Transitions Grain Boundary Roughening Transitions

2009-07-02

arxiv.org/abs/0907.0306v1

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

We consider the roughening of small angle grain boundaries consisting of arrays of dislocations and found two transitions, corresponding to fluctuations of the dislocations along and perpendicular to the boundaries. The latter contributes to a large scale fluctuation of the orientation of the crystal but the former does not. The transition temperatures of these transitions are very different, with the latter occuring at a much higher temperature. Order of magnitude estimates of these temperatures are consistent with recent experimental results from elasticity and X-ray measurements in solid $^4$He.

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