Homotopy in statistical physics
统计力学
2011-03-28 v2 高能物理 - 格点
摘要
In condensed matter physics and related areas, topological defects play important roles in phase transitions and critical phenomena. Homotopy theory facilitates the classification of such topological defects. After a pedagogic introduction to the mathematical methods involved in topology and homotopy theory, the role of the latter in a number of mainly low-dimensional statistical-mechanical systems is outlined. Some recent activities in this area are reviewed and some possible future directions are discussed.
关键词
引用
@article{arxiv.cond-mat/0602459,
title = {Homotopy in statistical physics},
author = {Ralph Kenna},
journal= {arXiv preprint arXiv:cond-mat/0602459},
year = {2011}
}
备注
Significant extensions and updates: 29 pages, 11 figures. Lecture given at the Mochima Spring School, Mochima, Venezuela, June 2006. To appear in Cond. Matt. Phys