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Origin of the approximate universality of distributions in equilibrium correlated systems

Maxime Clusel·Jean-Yves Fortin·Peter C. W. Holdsworth
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Abstract

We propose an interpretation of previous experimental and numerical experiments, showing that for a large class of systems, distributions of global quantities are similar to a distribution originally obtained for the magnetization in the 2D-XY model . This approach, developed for the Ising model, is based on previous numerical observations. We obtain an effective action using a perturbative method, which successfully describes the order parameter fluctuations near the phase transition. This leads to a direct link between the D-dimensional Ising model and the XY model in the same dimension, which appears to be a generic feature of many equilibrium critical systems and which is at the heart of the above observations.

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Maxime Clusel, Jean-Yves Fortin, Peter C. W. Holdsworth. 2006-10-27. Origin of the approximate universality of distributions in equilibrium correlated systems. https://doi.org/10.1209/epl%2Fi2006-10395-x

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