منابع مشابه
Kac limit for finite-range spin glasses.
We consider a finite-range spin glass model in arbitrary dimension, where the strength of the two-body coupling decays to zero over some distance gamma(-1). We show that, under mild assumptions on the interaction potential, the infinite-volume free energy of the system converges to that of the Sherrington-Kirkpatrick one, in the Kac limit gamma-->0. This could be a first step toward an expansio...
متن کاملFinite-range spin glasses in the Kac limit: free energy and local observables
We study a finite-range spin-glass model in arbitrary dimension, where the intensity of the coupling between spins decays to zero over some distance γ−1. We prove that, under a positivity condition for the interaction potential, the infinite-volume free energy of the system converges to that of the Sherrington– Kirkpatrick model, in the Kac limit γ → 0. We study the implication of this converge...
متن کاملFinite Dimensional Spin Glasses
We study the violation of the fluctuation-dissipation theorem in the three and four dimensional Gaussian Ising spin glasses using on and off equilibrium simulations. We have characterized numerically the function X(C) that determine the violation and we have studied its scaling properties. Moreover we have computed the function x(C) which characterize the breaking of the replica symmetry direct...
متن کاملOn the dynamics of Kac p-spin glasses
This paper discusses the dynamical properties of p-spin models with Kac kind interactions. For large but finite interaction range R one finds two different time scales for relaxation. A first relaxation roughly independent of R where the system is confined to limited regions of the configuration space and an R dependent time scale where the system is able to escape the confining regions. I will...
متن کاملShort-Range Spin Glasses: Results and Speculations
This paper is divided into two parts. The first part concerns several standard scenarios for how short-range spin glasses might behave at low temperature. Earlier theorems of the authors are reviewed, and some new results presented, including a proof that, in a thermodynamic system exhibiting infinitely many pure states and with the property (such as in replica-symmetrybreaking scenarios) that ...
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: Physical Review Letters
سال: 2004
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.92.030602