Statistical dynamics of dislocation systems: The influence of dislocation-dislocation correlations

M. Zaiser, M. Carmen Miguel, I. Groma

Research output: Contribution to journalArticle

116 Citations (Scopus)


During plastic deformation of crystalline materials, the collective dynamics of interacting dislocations gives rise to various patterning phenomena. A crucial and still open question is whether the long range dislocation-dislocation interactions which do not have an intrinsic range can lead to spatial patterns which may exhibit well-defined characteristic scales. It is demonstrated for a general model of two-dimensional dislocation systems that spontaneously emerging dislocation pair correlations introduce a length scale which is proportional to the mean dislocation spacing. General properties of the pair correlation functions are derived, and explicit calculations are performed for a simple special case, viz pair correlations in single-glide dislocation dynamics. It is shown that in this case the dislocation system exhibits a patterning instability leading to the formation of walls normal to the glide plane. The results are discussed in terms of their general implications for dislocation patterning.

Original languageEnglish
Article number224102
Pages (from-to)2241021-2241029
Number of pages9
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number22
Publication statusPublished - Dec 1 2001

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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