Wednesday, April 3, 2013

1304.0318 (Nikolaos G. Fytas et al.)

Universality in the three-dimensional Random-Field Ising Model    [PDF]

Nikolaos G. Fytas, Victor Martin-Mayor
We solve a long-standing puzzle in Statistical Mechanics of disordered systems. By performing a high-statistics simulation of the D=3 random-field Ising model at zero temperature for different shapes of the random-field distribution, we show that the model is ruled by a single universality class. We compute the complete set of critical exponents for this class, including the correction-to-scaling exponent, and we present concrete evidence that scaling is described by two independent exponents. Discrepancies with previous works are explained in terms of strong scaling corrections.
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