论文信息 - On the Statistical Physics of Spin Glasses

On the Statistical Physics of Spin Glasses

These notes are intended to provide a brief introduction to the recent progresses on the physical understanding of the equilibrium properties of spin glasses (in mean field theory). In order to try and make them more accessible, I have systematically avoided all the computations, which are described in many good recent reviews (see for instance /1–4/) in which one will find also more extended references. An introduction to the replica method, from which a large part of the following results have been deduced, can be found in /4/. Parts of the following text are inspired from a “pedagogical” article I wrote in french recently /18/.

M. Mézard | M. Mézard

[1] Sample to sample fluctuations in the random energy model , 1985 .

[2] B. Derrida. Random-Energy Model: Limit of a Family of Disordered Models , 1980 .

[3] Giorgio Parisi,et al. Infinite Number of Order Parameters for Spin-Glasses , 1979 .

[4] S. Kirkpatrick,et al. Solvable Model of a Spin-Glass , 1975 .

[5] A. Young. Direct determination of the probability distribution for the spin-glass order parameter , 1983 .

[6] M. Mézard,et al. The simplest spin glass , 1984 .

[7] M. Mézard,et al. Replica symmetry breaking and the nature of the spin glass phase , 1984 .

[8] B. Derrida. Random-energy model: An exactly solvable model of disordered systems , 1981 .

[9] S. Edwards,et al. Theory of spin glasses , 1975 .

[10] A. Houghton,et al. Role of initial conditions in the mean-field theory of spin-glass dynamics , 1983 .

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

[12] M. A. Virasoro,et al. Random free energies in spin glasses , 1985 .

[13] 岩崎洋一. J. -B. Zuber and R. Stora 編: Recent Advances in Field Theory and Statistical Mechanics; Les Houches (Summer School), Session 39, 1982, North-Holland, Amsterdam and New York, 1984, xxx+872ページ, 23×16cm, 49,500円. , 1985 .

[14] S. Kirkpatrick,et al. Infinite-ranged models of spin-glasses , 1978 .

[15] M. Mézard,et al. Nature of the Spin-Glass Phase , 1984 .