Phase transitions in a disordered system in and out of equilibrium

Details Phase transitions in a disordered system in and out of equilibrium Phase transitions in a disordered system in and out of equilibrium

2004-05-03

arxiv.org/abs/cond-mat/0405032v1

Physics

Condensed Matter

Statistical Mechanics

Accepted for publication in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.92.257203

The equilibrium and non--equilibrium disorder induced phase transitions are compared in the random-field Ising model (RFIM). We identify in the demagnetized state (DS) the correct non-equilibrium hysteretic counterpart of the T=0 ground state (GS), and present evidence of universality. Numerical simulations in d=3 indicate that exponents and scaling functions coincide, while the location of the critical point differs, as corroborated by exact results for the Bethe lattice. These results are of relevance for optimization, and for the generic question of universality in the presence of disorder.

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