Isometric fluctuation relations for equilibrium states with broken symmetry
Statistical Mechanics
2015-06-23 v1 Soft Condensed Matter
Abstract
We derive a set of isometric fluctuation relations, which constrain the order parameter fluctuations in finite-size systems at equilibrium and in the presence of a broken symmetry. These relations are exact and should apply generally to many condensed-matter physics systems. Here, we establish these relations for magnetic systems and nematic liquid crystals in a symmetry-breaking external field, and we illustrate them on the Curie-Weiss and the models. Our relations also have implications for spontaneous symmetry breaking, which are discussed.
Keywords
Cite
@article{arxiv.1411.6163,
title = {Isometric fluctuation relations for equilibrium states with broken symmetry},
author = {D. Lacoste and P. Gaspard},
journal= {arXiv preprint arXiv:1411.6163},
year = {2015}
}
Comments
9 pages, 4 figures, in press for Phys. Rev. Lett. to appear there in Dec. 2014