Theory of a Two-Dimensional Ising Model with Random Impurities. IV. Generalizations

Abstract

In the first paper of this series, we located $T_c$ for an arbitrary distribution of impurity bonds $P\left(E_2\right)$ and, for a particular $P\left(E_2\right)$ with a narrow width, we found that the specific heat fails to be analytic at $T_c$, although it is infinitely differentiable there. In this paper, we generalize this conclusion to an arbitrary distribution $P\left(E_2\right)$.