Replica analysis of the generalizedp-spin interaction glass model
نویسندگان
چکیده
منابع مشابه
A ug 1 99 8 Replica analysis of the p - spin interactions Ising spin - glass model
The thermodynamics of the infinite-range Ising spin glass with p-spin interactions in the presence of an external magnetic field h is investigated analytically using the replica method. We give emphasis to the analysis of the transition between the replica symmetric and the one-step replica symmetry breaking regimes. In particular, we derive analytical conditions for the onset of the continuous...
متن کامل1 A p - Spin Interaction Ashkin - Teller Spin - Glass Model
A p-spin interaction Ashkin-Teller spin glass, with three independent Gaussian probability distributions for the exchange interactions, is studied by means of the replica method. A simple phase diagram is obtained within the replica-symmetric approximation , presenting an instability of the paramagnetic solution at low temperatures. The replica-symmetry-breaking procedure is implemented and a r...
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...
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 کاملQuadratic replica coupling in the Sherrington-Kirkpatrick mean field spin glass model
We develop a very simple method to study the high temperature, or equivalently high external field, behavior of the Sherrington-Kirkpatrick mean field spin glass model. The basic idea is to couple two different replicas with a quadratic term, trying to push out the two replica overlap from its replica symmetric value. In the case of zero external field, our results reproduce the well known vali...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2011
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/44/44/445004