Volume 39, Number 5, September I 1997
|Page(s)||473 - 478|
|Published online||01 September 2002|
The 3d random field Ising model at zero temperature
Centre de Recherches sur les Très Basses Températures,
BP. 166, 38042 Grenoble, France
2 Laboratoire de Physique Théorique de l'Ecole Normale Supérieure (Unité Propre du Centre National de la Recherche Scientifique, associée à l'Ecole Normale Supérieure et à l'Université de Paris-Sud.) , 24 rue Lhomond, 75231 Paris Cedex 05, France
Accepted: 21 July 1997
We study numerically the zero-temperature random field Ising model on cubic lattices of various linear sizes L in three dimensions. For each random field configuration we vary the ferromagnetic coupling strength J. We find that in the infinite volume limit the magnetization is discontinuous in J. The energy and its first J derivative are continuous. The approach to the thermodynamic limit is slow, behaving like with for the Gaussian distribution of the random field. We also study the bimodal distribution , and we find similar results for the magnetization but with a different value of the exponent . This raises the question of the validity of universality for the random field problem.
PACS: 05.50.+q – Lattice theory and statistics; Ising problems / 64.60.Cn – Order-disorder transformations; statistical mechanics of model systems / 75.10.Hk – Classical spin models
© EDP Sciences, 1997
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