Topological relaxation of entangled flux lattices: Single vs collective line dynamics

Abstract

A symbolic language allowing to solve statistical problems for the systems with nonabelian braid-like topology in 2+1 dimensions is developed. The approach is based on the similarity between growing braid and "heap of colored pieces". As an application, the problem of a vortex glass transition in high-T_c superconductors is re-examined on microscopic level

4 pages (revtex), 4 figures

References in corpus (1)

• Statistics of reduced words in locally free and braid groups: Abstract studies and application to ballistic growth model

Cited by in corpus (2)

• Entanglement transition of elastic lines in a strongly disordered environment
• Collective roughening of elastic lines with hard core interaction in a disordered environment