Finite-Size Effects of the One-Dimensional Ising Model

The one-dimensional Ising model is revisited in order to study the finite-size scaling behavior near its zero critical temperature by following the scaling behavior of the Baxter scaling fields. All thermodynamic quantities, such as magnetization, magnitude of the magnetization, magnetic susceptibility, fourth-order cumulant, and specific heat. have been exactly computed by considering both open and periodic boundary conditions. The results show that, similar to the more used two-dimensional case, the simpler one-dimensional version of the model can certainly be a very good additional ground for testing newly proposed methods and algorithms in the area of computer simulational physics.