Origin of the approximate universality of distributions in equilibrium correlated systems

Details Origin of the approximate universality of distributions in equilibrium correlated systems Origin of the approximate universality of distributions in equilibrium correlated systems

2006-05-17

arxiv.org/abs/cond-mat/0605432v3

Europhysics Letters 76 (2006) 1008

Physics

Condensed Matter

Statistical Mechanics

To appear in Europhysics Letters

Scientific paper

10.1209/epl/i2006-10395-x

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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