Random Ordered Phase Characteristic of Quenched Mixtures of Ising Spins

Abstract

A new ordered phase, tentatively called “random ordered phase” (ROP) is proposed in the quenched Ising spin system in which ferro- and antiferromagnetic exchange integrals exist. In the ROP each spin points to the same direction as the molecular field which is either up or down and is altered from site to site according as the various situations of surroundings. The phase transition is characterized by “random magnetization” and “random susceptibility”, whose expressions are given.