Gabrielli, Andrea and Caldarelli, Guido and Pietronero, Luciano Invasion percolation with temperature and the nature of self-organized criticality in real systems. Physical Review E, 62 (6). pp. 7638-7641. ISSN 1539-3755 (2000)Full text not available from this repository.
In this paper we present a theoretical approach that allows us to describe the transition between critical and noncritical behavior when stocastic noise is introduced in extremal models with disorder. Namely, 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 self-organized criticality systems as ordinary critical systems where the critical point corresponds to set to 0 one of the parameters. We recover both the IP and Eden models for T⃗0 and T⃗∞, respectively. For small T we find a dynamical second-order transition with correlation length diverging when T⃗0.
|Uncontrolled Keywords:||PACS: 05.40.-a, 62.20.Mk, 02.50.-r|
|Subjects:||Q Science > QC Physics|
|Research Area:||Economics and Institutional Change|
|Depositing User:||Ms T. Iannizzi|
|Date Deposited:||23 Feb 2012 10:47|
|Last Modified:||20 Nov 2013 13:59|
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