Finite-Size Scaling and Damage Spreading in Ising Systems with Multispin Interactions

Details Finite-Size Scaling and Damage Spreading in Ising Systems with Multispin Interactions Finite-Size Scaling and Damage Spreading in Ising Systems with Multispin Interactions

1998-09-30

arxiv.org/abs/cond-mat/9809412v1

Physics

Condensed Matter

Statistical Mechanics

18 pages, 6 figures

Scientific paper

10.1016/S0378-4371(98)00205-2

We investigate two-dimensional Ising systems with multisping 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.

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