D. Dantchev

GL(2,R) in the Finite One-Dimensional Ising Model with Nonuniform Couplings

Using the properties of GL(2,R), the general linear group of invertible 2×2 real matrices, we investigate random fields of spin variables on finite one-dimensional rings with a unit cell of p∈N sites. The interaction parameters are assumed to be periodic with period p. The cases p=1 and p=2 recover the one-dimensional...