منابع مشابه
Ultrametric Broken Replica Symmetry RaMOSt
We propose an ultrametric breaking of replica symmetry for diluted spin glasses in the framework of RandomMulti-Overlap Structures (RaMOSt). Such proposal is closer to the Parisi theory for non-diluted spin glasses than the current theory based on the iterative approach. Our approach permits to formulate an ansatz according to which the Broken Replica Symmetry trial function depends on a set of...
متن کاملRenormalization Group Solution for the Two-dimensional Random Bond Potts Model with Broken Replica Symmetry
We find a new solution of the renormalization group for the Potts model with ferromagnetic random valued coupling constants. The solution exhibits universality and broken replica symmetry. It is argued that the model reaches this universality class if the replica symmetry is broken initially. Otherwise the model stays with the replica symmetric renormalization group flow and reaches the fixed p...
متن کاملBroken Replica Symmetry Bounds in the Mean Field Spin Glass Model
By using a simple interpolation argument, in previous work we have proven the existence of the thermodynamic limit, for mean field disordered models, including the Sherrington-Kirkpatrick model, and the Derrida p-spin model. Here we extend this argument in order to compare the limiting free energy with the expression given by the Parisi Ansatz, and including full spontaneous replica symmetry br...
متن کاملNumerical evidence for spontaneously broken replica symmetry in 3D spin glasses.
The behavior of disordered spin models at equilibrium is well understood in the framework of the mean field approximation [1,2]. The main prediction of the mean field approach is the existence of a low-temperature glassy phase. Such a phase is characterized by the existence of many different equilibrium states [spontaneous replica symmetry breaking (SRSB)]. On the other hand, it is possible to ...
متن کاملTemperature chaos in a replica symmetry broken spin glass model - A hierarchical model with temperature chaos
– Temperature chaos is an extreme sensitivity of the equilibrium state to a change of temperature. It arises in several disordered systems that are described by the so called scaling theory of spin glasses, while it seems to be absent in mean field models. We consider a model spin glass on a tree and show that although it has mean field behavior with replica symmetry breaking, it manifestly has...
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2006
ISSN: 0022-4715,1572-9613
DOI: 10.1007/s10955-005-9008-4