6533b857fe1ef96bd12b5007

RESEARCH PRODUCT

Universality in disordered systems: The case of the three-dimensional random-bond Ising model

Panagiotis E. TheodorakisNikolaos G. Fytas

subject

PhysicsStatistical Mechanics (cond-mat.stat-mech)Critical phenomenaMonte Carlo methodFOS: Physical sciencesIsing modelSquare-lattice Ising modelStatistical physicsRenormalization groupScalingRandomnessCondensed Matter - Statistical MechanicsUniversality (dynamical systems)

description

We study the critical behavior of the $d=3$ Ising model with bond randomness through extensive Monte Carlo simulations and finite-size scaling techniques. Our results indicate that the critical behavior of the random-bond model is governed by the same universality class as the site- and bond-diluted models, clearly distinct from that of the pure model, thus providing a complete set of universality in disordered systems.

yearjournalcountryeditionlanguage
2010-09-27
10.1103/physreve.82.062101http://arxiv.org/abs/1012.0124