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

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

1999-10-26

arxiv.org/abs/cond-mat/9910425v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevE.62.7638

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 $T \to 0$.

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