Random Spin Systems with Long-Range Interactions Page 1 Random Spin Systems with
Long-Range Interactions Boguslaw Zegarlinski Abstract We present the state of the matter for …

The talk was a short review on systems which exhibit non-self-averaging effects: sums of
random variables when the distribution has a long tail, mean field spin glasses, random map …

Long-range spin-glass models with random Hamiltonians H=-\mathop ∑ ij J (i, j)| ij|^-α S_i
S_j where the J (i, j) are independent, identically distributed random variables with mean IE …

A spherical model of a spin-glass is solved in the limit of infinite-ranged interactions with a
Gaussian probability distribution. We use the known properties of a large random matrix …

We study the response of a spin glass system with respect to the rescaling of its interaction
random variables and investigate numerically the behaviour of the correlation functions with …

SPIN SYSTEMS WITH LONG-RANGE INTERACTIONS. Sign In Folder Preferences
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We consider Ising spin glasses on Z d with couplings J xy= cy− x Z xy, where the cy's are
nonrandom real coefficients and the Z xy's are independent, identically distributed random …

We consider an Ising model in which the spins are coupled by Infinite-ranged random
interactions independently distributed with a Gaussian probability density. Both “spin-glass” …

This 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 …

We consider spin glass models in which the number of spin components m is infinite. In the
formulation of the problem appropriate for numerical calculations proposed by several …