Critical Properties of Ising Models Containing Dilute Impurities. II

Abstract
We study the critical exponents for an Ising model with bond impurities. We expand the internal energy in powers of the concentration for both the annealed and quenched systems. The first order contributions are exactly the same for both cases. In the annealed system we show that the impurities do not change the functional form of the pure system internal energy, but shift its argument. This shift suppresses the pure system divergence of the specific heat. The specific heat curve has a finite cusp at the critical point. In the quenched system we give only formal expressions.

This publication has 0 references indexed in Scilit: