The boundary–boundary correlation in an arbitrary oblique direction for the two-dimensional Ising model is calculated exactly using the topological interaction method. It is shown that these correlation functions satisfy Morita's sum rule not only for TTc but also for T⩽Tc. The asymptotic...

With the damage spreading method, scaling properties of the damage distance on the Ising model with heat bath dynamics are studied numerically. With the parallel flipping scheme, the scaling curves fall on two curves, which depend on the odd or even lattice sizes. The both scaling curves give...

The time-evolution of the damage in the Ising model with the heat bath and Glauber dynamics has been investigated with the damage spreading method. The damage density D(t) and the average distance r(t) of damaged sites from the origin have been measured numerically. From the simulational data,...

In the present paper, the two-dimensional Ising model with anisotropic nearest-neighbor, next-nearest-neighbor and four-spin interactions has been studied. The ground states and energy of the model have been obtained. The model is equivalent to an eight-vertex model on its dual lattice. In some...

A reentrant phase transition in a frustrated Ising model is studied. By the finite-size scaling technique based on the conformal field theory, the universality class of the present phase transition is discussed. Our results suggest that the universality class of the present model is the same as...