Evolution of the correlation functions in two-dimensional dislocation systems

Péter Dusán Ispánovity, István Groma, Géza Györgyi

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14 Citations (Scopus)


In this paper, spatial correlations of parallel edge dislocations are studied. After closing a hierarchy of equations for the many-particle density functions by the Kirkwood superposition approximation, we derive evolution equations for the correlation functions. It is found that these resulting equations and those governing the evolution of density fields of total as well as geometrically necessary dislocations around a single edge dislocation are formally the same. The second case corresponds to the already described phenomenon of Debye screening of an individual dislocation. This equivalence of the correlation functions and screened densities is also demonstrated by discrete dislocation dynamics simulation results, which confirm the physical correctness of the applied Kirkwood superposition approximation. Relation of this finding and the linear-response theory in thermal systems are also discussed.

Original languageEnglish
Article number024119
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number2
Publication statusPublished - Jul 29 2008


ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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