Finite-size scaling and damage spreading in Ising systems with multispin interactions

Abstract

We investigate two-dimensional Ising systems with multispin interactions of three- ( m=3) and four-body terms ( m=4). The application of a new type of finite-size algorithm of de Oliveira allow us to clearly distinguish a first-order transition (in the m=4 case) from a continuous one (in the m=3 one). We also study the damage spreading in these systems. In this study, a dynamical phenomenon is observed to occur at a critical point separating a chaotic phase from a frozen one. However, the width of the interval where this transition happens does not yield a conclusive evidence about the order of the phase transition.