Isometric fluctuation relations for equilibrium states with broken symmetry

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 $XY$ models. Our relations also have implications for spontaneous symmetry breaking, which are discussed.

arXiv comment9 pages, 4 figures, in press for Phys. Rev. Lett. to appear there in Dec. 2014

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• Fluctuation relations for equilibrium states with broken discrete or continuous symmetries
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• Fluctuation Relations associated to an arbitrary bijection in path space
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