Statistical Mechanics of "2*2*2" Ising Model

Abstract

The partition function of 2*2*2 Ising lattice with external magnetic field was calculated by elementary enumeration of of complexions. The zeros of the partition function in the complex temperature and in the complex magnetic field plane were obtained. The internal energy , specific heat, magnetic susceptibility in the absence of magnetic field, and the magnetization with external magnetic field were also calculated. The estimated critical temperatures from the zeros near the positive real axis and from the maximum of specific heat curve are compared with that obtained from the Pade' approximation for the infinite lattice system. It is shown that the zeros of partition function of ferromagnet lie on the unit circle, and those of antiferromagnet distribute on the negative real axis in the complex fugacity plane.