Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-11-03
Physics
Condensed Matter
Statistical Mechanics
13 pages, 9 figures
Scientific paper
Many sociological networks, as well as biological and technological ones, can be represented in terms of complex networks with a heterogeneous connectivity pattern. Dynamical processes taking place on top of them can be very much influenced by this topological fact. In this paper we consider a paradigmatic model of non-equilibrium dynamics, namely the forest fire model, whose relevance lies in its capacity to represent several epidemic processes in a general parametrization. We study the behavior of this model in complex networks by developing the corresponding heterogeneous mean-field theory and solving it in its steady state. We provide exact and approximate expressions for homogeneous networks and several instances of heterogeneous networks. A comparison of our analytical results with extensive numerical simulations allows to draw the region of the parameter space in which heterogeneous mean-field theory provides an accurate description of the dynamics, and enlights the limits of validity of the mean-field theory in situations where dynamical correlations become important.
Bancal Jean-Daniel
Pastor-Satorras Romualdo
No associations
LandOfFree
Steady-State Dynamics of the Forest Fire Model on Complex Networks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Steady-State Dynamics of the Forest Fire Model on Complex Networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Steady-State Dynamics of the Forest Fire Model on Complex Networks will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-256578