Spin glasses with short range interaction

Abstract

The theory is presented of spin glasses for which the condition n _m ^1/3 l « dl is valid, l being the range of interaction forces between spins and n _m the volume concentration of spins. Various examples where such an interaction appears are considered. Thermodynamic and kinetic characteristics of such systems are calculated at high and low temperatures. Particular attention is paid to the transition region; for its analysis percolation theory methods are applied. The theory of one-dimensional spin glasses of several types is constructed. A ‘kinetic’ equation is derived for the cluster distribution function in the transition region and the behaviour of this function is studied.