replica equivalence in the edwards - anderson model
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 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 finitedimensional spin-glass models.
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un 2 00 3 replica equivalence in the edwards - anderson model Pierluigi
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...
متن کاملar 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...
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We propose a self-consistent Ornstein-Zernike approximation for studying the Edwards-Anderson spin glass model. By performing two Legendre transforms in replica space, we introduce a Gibbs free energy depending on both the magnetizations and the overlap order parameters. The correlation functions and the thermodynamics are then obtained from the solution of a set of coupled partial differential...
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متن کاملAbout the Overlap Distribution in Mean Field Spin Glass Modelsz
We continue our presentation of mathematically rigorous results about the Sherrington-Kirkpatrick mean eld spin glass model. Here we establish some properties of the distribution of overlaps between real replicas. They are in full agreement with the Parisi accepted picture of spontaneous replica symmetry breaking. As a byproduct, we show that the selfaveraging of the Edwards-Anderson uctuating ...
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تاریخ انتشار 2003