Thermodynamics of quenched random spin systems, and application to the problem of phase transitions in magnetic (spin) glasses

Publisher Website
Google Scholar
Abstract
Existence with probability one of the thermodynamic limit for the free energy density of a class of classical and quantum quenched random spin systems is proved using strong laws of large numbers. When the control on the randomness is strong enough, the infinite-volume free energy so obtained is shown to be equal, with probability one, to that derived from a prescription originally due to Brout (1959). Particular mean-field models are then studied in detail. Similar arguments are pointed out concerning the corresponding thermodynamic functions, and are then applied to the existence problem of phase transitions in quenched random systems with continuous internal symmetry groups, in particular to those models recently proposed to describe the spin glass phenomenon, like the Edwards-Anderson model and its various classical and quantum extensions.

This publication has 17 references indexed in Scilit: