Invasion Percolation with Temperature and the Nature of SOC in Real Systems

Abstract

We show that the introduction of thermal noise in Invasion Percolation (IP) brings the system outside the critical point. This result suggests a possible definition of SOC systems as ordinary critical systems where the critical point correspond to set to 0 one of the parameters. We recover both IP and EDEN model, for $T\to 0$, and $T\to \infty$ respectively. For small $T$ we find a dynamical second order transition with correlation length diverging when $T\to 0$.

4 pages, 2 figures

References in corpus (1)

• Self-organized criticality as an absorbing-state phase transition

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