Mean field modelsThis is a new, completely revised, updated and enlarged edition of the author's Ergebnisse vol. 46: 'Spin Glasses: A Challenge for Mathematicians'. This new edition will appear in two volumes, the present first volume presents the basic results and methods, the second volume...
F. Guerra, Functional order parameters for the quenched free energy in mean field spin glass models, Field Theory and Collective Phenomena, World Scientific Singapore (1995).Guerra, F.: Functional order parameters for the quenched free energy in mean field spin glass models. In: De Lillo, S....
We give a brief introduction to the theory of mean field models of spin glasses. This includes a concise presentation of the Random Energy model and the Generalized Random Energy model and the connection to the corresponding asymptotic models based on Poisson cascades. We also explain the nature ...
Various effective-field approximation schemes are presented for describing the effects of fluctuations due to random spatial disorder on magnetic spin systems. An S=1/2 Ising model Hamiltonian is used, for which the spins occupy sites on a regular lattice but the exchange bonds are taken to be ...
spin glasses (theoryWithin the replica approach to mean-field spin-glasses the transition from ergodic high-temperature behaviour to the glassy low-temperature phase is marked by the instability of the replica-symmetric saddle-point. For general spin-glass models with non-Gaussian field distributions ...
ChemInform Abstract: MEAN‐FIELD THEORIES OF SPIN GLASSESanalytical chemistry, reviewNo abstract is available for this article.doi:10.1002/chin.198529400CHOWDHURY D.MOOKERJEE A.WILEY‐VCH Verlag GmbHCheminform
Glasses and Related Models of Neural Networks.- Mean-Field Theory of Spin Glasses and Neural Networks with Finite Coordination Number.- Neural Networks for... H Haken 被引量: 0发表: 1987年 Finite temperature numerical renormalization group study of the Mott-transition We calculate the spectral fun...
multipolar spin glassesA general class of lattice models for multipolar spin glasses, including Ising-, vector-, Potts-, quadrupolar-glasses, etc., are introduced and discussed within the framework of the mean-field theory as well as the high-temperature series expansion, using the replica trick....
What is lacking in this field is the analog of the mean-field models of spin-glasses, like the SK-model [4] or REM[5], which despite of their non-physical nature, turned out to be very powerful tool for understanding the nature of the spin-glass state. The aim of this paper ...
Aging has become the paradigm to describe dynamical behavior of glassy systems, and in particular spin glasses. Trap models have been introduced as simple caricatures of effective dynamics of such systems. In this Letter we show that in a wide class of mean field models and on a wide range ...