Geodesics around a dislocation

Abstract

One method of gaining some insight into the motion of particles in a medium with topological defects (e.g., electrons in a dislocated metal) is to look at the geodesics of the medium around the defect. In this work the Hamilton-Jacobi equation for the geodesics in a continuous medium containing a torsional defect, an edge dislocation, is solved by using perturbation theory to first order in the Burgers vector.

Latex, 7 pages, 5 uuencoded Postscript figures

References in corpus (3)

• The Cosmological Kibble Mechanism in the Laboratory: String Formation in Liquid Crystals
• Casimir effect around disclinations
• Enhancement of the magnetic moment of the electron due to a topological defect

Cited by in corpus (18)

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• On the interaction of the Dirac oscillator with the Aharonov-Casher system in topological defect backgrounds
• Geometric Theory of Defects
• Threading dislocation densities in semiconductor crystals: a geometric approach
• Torsion and noninertial effects on a nonrelativistic Dirac particle
• Scattering on Dislocations and Cosmic Strings in the Geometric Theory of Defects
• Geodesics around line defects in elastic solids
• A liquid crystal analogue of the cosmic string
• Riemann-Cartan Space-times of Gödel Type
• Aharonov-Bohm Effect and Disclinations in an Elastic Medium
• Persistent spin currents in an elastic Landau system
• Disclinations in the geometric theory of defects
• Geometric theory of topological defects: methodological developments and new trends
• Electrostatic self-force in (2+1)-dimensional cosmological gravity
• Wedge Dislocation in the Geometric Theory of Defects
• Vacuum tunneling in gravity
• Geodesics on non-Riemannian Geometric theory of Planar Defects
• Light in metric space-time and its deflection by the screw dislocation