Domains and Distances in Magnetic Systems
Avidan U. Neumann
Laboratoire de Physique Statistique de l'E.N.S., 24 rue Lhomond,
F-75231 Paris Cedex 5, France
and
Department of Physics, Bar Ilan University, 52100 Ramat Gan, Israel
Bernard Derrida
Laboratoire de Physique Statistique de l'E.N.S., 24 rue Lhomond,
F-75231 Paris Cedex 5, France
and
Service de Physique Théorique de Saclay,
F-91191 Gif-sur-Yvette Cedex, France
Gérard Weisbuch
Laboratoire de Physique Statistique de l'E.N.S., 24 rue Lhomond,
F-75231 Paris Cedex 5, France
Abstract
When one compares the time evolution of two spin configurations subjected to the same thermal noise, domains appear of identical and opposite spins. We study these domains and their growth for three magnetic sytems in two dimensions: ferromagnet, spin glass, and non-symmetric spin glass. For ferromagnets, these distance associated domains are very similar to the magnetic domains. For spin glasses, they have a larger structure than the clusters of frozen spins and they move in time. For non-symmetric spin glasses, small distance associated domains move quickly whereas there are no frozen spins.
