Spin glass theory

Virasaro M, Mezard M and Paris G 1987 Spin Glass Theory and Beyond Singapore World Scientific)... 

M. Mezard, G. Parisi, M. A. Virasoro. Spin Glass Theory, Beyond. Singapore World Scientific. 1987. 

Spin glass theory and other abstract methods... 

Mezard, M., Parisi, G. and Virasoro, M.A., Spin-Glass Theory and Beyond, World Scientific, Singapore,... 

Mezard M, Parisi G, Virasoro M (1987) Spin glasses theory and beyond, World Scientific,... 

Before we go into some details of MCT, we briefly mention that there exists another microscopic theory of the glass transition phenomenon, the replica theory [120,121], which is inspired by spin glass theory [122] and which lends some... 

The replica theory is another microscopic theory of the glass transition. Inspired by the spin glass theory,230 it lends some justification to the configurational entropy theory.216 However, details of the evolution of the dynamic susceptibility are less worked out. 

Goldstein RA, Luthey-Schulten ZA, Wolynes PG. Optimal protein-folding codes from spin-glass theory. Proc. Natl. Acad. Sci. U.S.A. 1992 89 4918-4922. 

This stretched exponential behavior known from spin-glass theory. [16] Each run produces an estimate of r, that depends on the energy minimum visited as the systems freezes (or perhaps on two where the double peak in t is observed).[35] The ensemble average autocorrelation function is then a sum over many terms of the form which yields... 

K. Binder and A. P. Young. Spin glasses experimental facts, theoretical concepts, and open questions. Reviews of Modern Physics, 58 (1986), 801 M. Mezard, G. Parisi and M. Virasoro, Spin Glass Theory and Beyond. Singapore World Scientific (1987). 

Clearly there is need for spin-glass theories beyond mean-field. One approach in this direction is presented by Malozemoff et al. (1983) and Malozemoff and Barbara (1985). They propose a critical fractal cluster model of spin glasses which is able to describe the essential features of the phenomena occurring near the spin-glass transition and to account for the static critical exponents. The basic assumption of this fractal model is the existence of a temperature- and magnetic-field-dependent characteristic cluster size on which all relevant physical quantities depend and which diverges at the transition temperature Tj. It is related to the correlation length and the cluster fractal dimension D by More... 

In this sense, SmA and the phases are frustrated. They escape being nonergodic because they are liquids in the usual sense. To underscore the uniqueness of this particular example of frustration, Berker and In-dekeu [39] refer to their theory as a spin-gas theory, rather than a spin-glass theory. 

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