We discuss interfaces in spin glasses. We present new theoretical results and a numerical method for characterizing overlap interfaces and the stability of the spin-glass phase in extended disordered systems. We use this definition to characterize the low temperature phase of hierarchical spin-glass models. We use the replica symmetry breaking theory to evaluate the cost for an overlap interface, which in these models is particularly simple. A comparison of our results from numerical simulations with the theoretical predictions shows good agreement. © 2009 IOP Publishing Ltd.
Overlap interfaces in hierarchical spin-glass models / Silvio, Franz; T., Jorg; Parisi, Giorgio. - In: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. - ISSN 1742-5468. - 2009:2(2009), p. P02002. [10.1088/1742-5468/2009/02/p02002]
Overlap interfaces in hierarchical spin-glass models
PARISI, Giorgio
2009
Abstract
We discuss interfaces in spin glasses. We present new theoretical results and a numerical method for characterizing overlap interfaces and the stability of the spin-glass phase in extended disordered systems. We use this definition to characterize the low temperature phase of hierarchical spin-glass models. We use the replica symmetry breaking theory to evaluate the cost for an overlap interface, which in these models is particularly simple. A comparison of our results from numerical simulations with the theoretical predictions shows good agreement. © 2009 IOP Publishing Ltd.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
