After introducing and discussing the link-overlap between spin configurations we show that the Edwards - Anderson model has a replica-equivalent quenched equilibrium state, a property introduced by Parisi in the description of the mean-field spin-glass phase which generalizes ultrametricity. Our method is based on the control of fluctuations through the property of stochastic stability and works for all the finite-dimensional spin-glass models.
Contucci, P. (2003). Replica equivalence in the Edwards - Anderson model. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 36(43), 10961-10966 [10.1088/0305-4470/36/43/020].
Replica equivalence in the Edwards - Anderson model
Contucci P.
2003
Abstract
After introducing and discussing the link-overlap between spin configurations we show that the Edwards - Anderson model has a replica-equivalent quenched equilibrium state, a property introduced by Parisi in the description of the mean-field spin-glass phase which generalizes ultrametricity. Our method is based on the control of fluctuations through the property of stochastic stability and works for all the finite-dimensional spin-glass models.File in questo prodotto:
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