Displacement field and elastic constants in nonideal crystals

C. Walz and M. Fuchs
Phys. Rev. B 81, 134110 – Published 23 April 2010

Abstract

In this work a periodic crystal with point defects is described in the framework of linear-response theory for broken-symmetry states using correlation functions and Zwanzig-Mori equations. The main results are microscopic expressions for the elastic constants and for the coarse-grained density, point-defect density, and displacement field, which are valid in real crystals, where vacancies and interstitials are present. The coarse-grained density field differs from the small wave-vector limit of the microscopic density. In the long-wavelength limit, we recover the phenomenological description of elasticity theory including the defect density.

  • Figure
  • Received 8 December 2009

DOI:https://doi.org/10.1103/PhysRevB.81.134110

©2010 American Physical Society

Authors & Affiliations

C. Walz and M. Fuchs

  • Fachbereich für Physik, Universität Konstanz, 78457 Konstanz, Germany

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Issue

Vol. 81, Iss. 13 — 1 April 2010

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