Abstract:
The linear Ising model with many-particle interactions of arbitrary form
is considered. By means of difference equations an exact solution is
obtained for the correlation functions of the model, and the general
behavior for the two-spin correlation functions in their dependence on
the length of the complex of interacting particles is established. The
case of a three-particle interaction is analyzed in detail.
Citation:
I. S. Donskaya, “Higher-order interactions in the linear ising model”, TMF, 74:3 (1988), 474–480; Theoret. and Math. Phys., 74:3 (1988), 324–328