论文信息 - Elementary solution of Classical Spin-Glass models

Elementary solution of Classical Spin-Glass models

An elementary solution to a general class of classical spin-glass models is presented. This class comprises all mean-field models where bond-randomness is given in terms ofsite-randomness with finitely many random variables per site and includes both separable and non-separable interactions. The main idea is to single out specific sublattice magnetizations which correspond to the probability distribution and to determine their asymptotics by means of a simple large-deviations argument. The ensuing stability and bifurcation analysis is given in detail.

J. Hemmen | R. Kühn | D. Grensing | A. Huber | R. Kühn

[1] E. C. Titchmarsh,et al. The theory of functions , 1933 .

[2] I. S. Gradshteyn,et al. Table of Integrals, Series, and Products , 1976 .

[3] M. Mehdi,et al. On Convex Functions , 1964 .

[4] D. Varberg. Convex Functions , 1973 .

[5] H. R. Harrison,et al. Low-dc-field susceptibility of CuMn spin glass , 1979 .

[6] G. Iooss,et al. Elementary stability and bifurcation theory , 1980 .

[7] J. L. van Hemmen,et al. Classical Spin-Glass Model , 1982 .

[8] van Aernout Enter,et al. On a classical spin glass model , 1983 .

[9] I. Morgenstern,et al. Heidelberg Colloquium on Spin Glasses , 1983 .