Groupe de Physique Statistique

Equipe 106, Institut Jean Lamour

                     
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Articles dans des revues à comité de lecture

Origin of the approximate universality of distributions in equilibrium correlated systems
Clusel M., Fortin J.-Y., Holdsworth P.C.W.
Europhysics Letters 76 (2006) 1008
DOI : 10.1209/epl/i2006-10395-x
ArXiv : cond-mat/0605432 [PDF]
HAL : hal-00069372

We propose an interpretation of previous experiments 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 (BRAMWELL S. T. et al., Nature, 396 (1998) 512). This approach, developed for the Ising model, is based on previous numerical observations (CLUSEL M. et al., Phys. Rev. E, 70 (2004) 046112). 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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