Velocity statistics for interacting edge dislocations in one dimension from Dyson's Coulomb gas model

Farshid Jafarpour, Luiza Angheluta, Nigel Goldenfeld

Research output: Contribution to journalArticlepeer-review

Abstract

The dynamics of edge dislocations with parallel Burgers vectors, moving in the same slip plane, is mapped onto Dyson's model of a two-dimensional Coulomb gas confined in one dimension. We show that the tail distribution of the velocity of dislocations is power law in form, as a consequence of the pair interaction of nearest neighbors in one dimension. In two dimensions, we show the presence of a pairing phase transition in a system of interacting dislocations with parallel Burgers vectors. The scaling exponent of the velocity distribution at effective temperatures well below this pairing transition temperature can be derived from the nearest-neighbor interaction, while near the transition temperature, the distribution deviates from the form predicted by the nearest-neighbor interaction, suggesting the presence of collective effects.

Original languageEnglish (US)
Article number042123
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume88
Issue number4
DOIs
StatePublished - Oct 14 2013

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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