Evolution of the correlation functions in 2D dislocation systems

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dc.creatorIspánovity, Péter Dusán
dc.creatorGroma, István
dc.creatorGyörgyi, Géza
dc.date2008-05-09
dc.date2008-07-02
dc.date.accessioned2026-07-07T09:59:21Z
dc.date.available2026-07-07T09:59:21Z
dc.descriptionIn 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 demonstrated also 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 is also discussed.
dc.description11 pages, 4 figures, accepted for publication in Physical Review B
dc.identifierhttps://arxiv.org/abs/0805.1334
dc.identifierhttp://arxiv.org/abs/0805.1334
dc.identifierPhys. Rev. B 78, 024119 (2008)
dc.identifierdoi:10.1103/PhysRevB.78.024119
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167990
dc.subjectStatistical Mechanics
dc.titleEvolution of the correlation functions in 2D dislocation systems
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