Magnetic Properties of One-Dimensional Dilute Ising Systems. I

Abstract

One-dimensional dilute systems with nearest neighbor interactions are studied in terms of power series of the concentration of magnetic atoms. Recurrence relations between coefficients of the power series of the Ising systems are obtained. The Ising systems of S = 1/2 are studied. The specific heats, the susceptibilities, and the magnetizations of the ferro magnets and antiferromagnets are obtained. At low temperatures, three steps in the magnetization of antiferromagnetic systems are found. An Ising system of S = 1/2 with nearest and second nearest neighbor interactions is also studied by extending the method, and the specific heats are obtained when the magnetic field is zero.