un 2 00 3 replica equivalence in the edwards - anderson model Pierluigi
نویسنده
چکیده
After introducing and discussing the link-overlap between spin configurations we show that the Edwards-Anderson model has a replicaequivalent quenched equilibrium state, a precondition for ultrametricity introduced by Parisi in the description of the mean-field spin-glass phase. 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.
منابع مشابه
ar X iv : c on d - m at / 0 30 25 00 v 3 1 6 Se p 20 03 replica equivalence in the edwards - anderson model
After introducing and discussing the link-overlap between spin configurations we show that the Edwards-Anderson model has a replicaequivalent 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 f...
متن کاملreplica equivalence in the edwards - anderson model
After introducing and discussing the link-overlap between spin configurations we show that the Edwards-Anderson model has a replicaequivalent 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 f...
متن کاملar X iv : m at h - ph / 0 50 30 23 v 2 7 J un 2 00 5 surface terms on the nishimori line of the gaussian edwards - anderson model
For the Edwards-Anderson model we find an integral representation for some surface terms on the Nishimori line. Among the results are expressions for the surface pressure for free and periodic boundary conditions and the adjacency pressure, i.e., the difference between the pressure of a box and the sum of the pressures of adjacent sub-boxes in which the box can been decomposed. We show that all...
متن کاملd - m at / 0 51 06 63 v 1 [ co nd - m at . d is - n n ] 2 5 O ct 2 00 5 Overlap Equivalence in the Edwards - Anderson model
We perform a numerical simulation (parallel tempering) to study the relative fluctuations of the link overlap and the square standard overlap in the three dimensional Gaussian Edwards-Anderson model with zero external field. We first analyze the correlation coefficient and find that the two quantities are uncorrelated above the critical temperature. Below the critical temperature we find that t...
متن کاملar X iv : m at h - ph / 0 50 30 23 v 1 1 0 M ar 2 00 5 surface terms on the nishimori line of the gaussian edwards - anderson model
For the Edwards-Anderson model we find an integral representation for some surface terms on the Nishimori line. Among the results are expressions for the surface pressure for free and periodic boundary conditions and the adjacency pressure, i.e., the difference between the pressure of a box and the sum of the pressures of adjacent sub-boxes in which the box can been decomposed. We show that all...
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تاریخ انتشار 2003