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 T->0 and T->oo, respectively. For small T we ﬁnd a dynamical second-order transition with correlation length diverging when T->0.
|Titolo:||Invasion percolation with temperature and the nature of self-organized criticality in real systems|
|Data di pubblicazione:||2000|
|Appare nelle tipologie:||1.1 Articolo in rivista|