Displacement field and elastic constants in non-ideal crystals

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.

Phys Rev. B, in print (2010)

References in corpus (2)

• Diffusion of Point Defects in Two-Dimensional Colloidal Crystals
• Equilibrium Configurations and Energetics of Point Defects in Two-Dimensional Colloidal Crystals

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• Nonequilibrium statistical mechanics of crystals
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• Continuum theory of electrostatic-elastic coupling interactions in colloidal crystals
• Continuum mechanics for the elastic properties of crystals: Microscopic approach based on projection-operator formalism
• Elasticity in crystals with high density of local defects : insights from ultra-soft colloids
• On the yielding of a defect-rich model crystal under shear: insights from molecular dynamics simulations