Introduction to the Geometric Theory of Defects

Details Introduction to the Geometric Theory of Defects Introduction to the Geometric Theory of Defects

2005-02-04

arxiv.org/abs/cond-mat/0502123v1

Physics

Condensed Matter

Materials Science

Lectures at III Summer School in Modern Mathematical Physics, 20-31 August 2004, Zlatibor, Serbia and Montenegro

Scientific paper

We describe defects - dislocations and disclinations - in the framework of Riemann-Cartan geometry. Curvature and torsion tensors are interpreted as surface densities of Frank and Burgers vectors, respectively. Equations of nonlinear elasticity theory are used to fix the coordinate system. The Lorentz gauge yields equations for the principal chiral SO(3)-field. In the absence of defects the geometric model reduces to the elasticity theory for the displacement vector field and to the principal chiral SO(3)-field model for the spin structure.

Affiliated with

Also associated with

No associations

Rating

Introduction to the Geometric Theory of Defects does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Introduction to the Geometric Theory of Defects, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Introduction to the Geometric Theory of Defects will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-527876