Critical Hysteresis
Condensed Matter
2007-05-23 v1 High Energy Physics - Lattice
Abstract
Hysteresis is observed at second order phase transitions. Universal scaling formul\ae{} for the areas of hysteresis loops are written down. Critical exponents are defined, and related to other exponents for static and dynamic critical phenomena. These relations are verified with Langevin dynamics in both the critical and tricritical mean-field models. A finite-size scaling relation is tested in the two-dimensional Ising model with heat-bath dynamics. (Shar file; 2 figures created through dvips directives from 4 PS files included)
Cite
@article{arxiv.cond-mat/9303047,
title = {Critical Hysteresis},
author = {Sourendu Gupta},
journal= {arXiv preprint arXiv:cond-mat/9303047},
year = {2007}
}
Comments
10 pages (incl. 2 figs), HLRZ 20/93