Evolution of the correlation functions in two-dimensional dislocation systems

Péter Dusán Ispánovity, I. Groma, G. Györgyi

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

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
Volume78
Issue number2
DOIs
Publication statusPublished - Jul 29 2008

Fingerprint

Edge dislocations
edge dislocations
Dislocations (crystals)
Probability density function
Screening
closing
approximation
hierarchies
equivalence
Computer simulation
screening
simulation
Hot Temperature

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Evolution of the correlation functions in two-dimensional dislocation systems. / Ispánovity, Péter Dusán; Groma, I.; Györgyi, G.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 78, No. 2, 024119, 29.07.2008.

Research output: Contribution to journalArticle

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