PHASE-DIAGRAMS OF THE SPIN-3 2 TRANSVERSE ISING-MODEL WITH RANDOM INTERACTIONS/

The transverse spin-3/2 Ising model with random interactions is studie d using an effective field method within the framework of a single-sit e cluster theory. The effective field equations are derived using a pr obability distribution method based on the use of generalized Van der Waerden identities, that account exactly for the single-site kinematic relations. A model is adopted in which the nearest-neighbour exchange couplings are described by the probability distribution law: P(J(ij)) = p delta(J(ij) - J) + (1 - p) delta(J(ij) - alpha J). The critical t emperature at which the longitudinal magnetization vanishes is studied as a function of p and the transverse field strength. The thermal var iation of the longitudinal and transverse magnetizations and higher-or der magnetization moments are also studied.