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Sandpiles and absorbing-state phase transitions: recent results and open problems
Miguel A. Munoz, Ronald Dickman, Romualdo Pastor-Satorras +2
We review some recent results on the relations between sandpiles and a class of absorbing state phase transitions. We use the concept of fixed energy sandpiles (FES), in which exte…
Epidemic spreading in scale-free networks
Romualdo Pastor-Satorras, Alessandro Vespignani
The Internet, as well as many other networks, has a very complex connectivity recently modeled by the class of scale-free networks. This feature, which appears to be very efficient…
Anomalous scaling in the Zhang model
Romualdo Pastor-Satorras, Alessandro Vespignani
We apply the moment analysis technique to analyze large scale simulations of the Zhang sandpile model. We find that this model shows different scaling behavior depending on the upd…
Critical behavior and conservation in directed sandpiles
Romualdo Pastor-Satorras, Alessandro Vespignani
We perform large-scale simulations of directed sandpile models with both deterministic and stochastic toppling rules. Our results show the existence of two distinct universality cl…
Field theory of absorbing phase transitions with a non-diffusive conserved field
Romualdo Pastor-Satorras, Alessandro Vespignani
We investigate the critical behavior of a reaction-diffusion system exhibiting a continuous absorbing-state phase transition. The reaction-diffusion system strictly conserves the t…
Breaking of scale-invariance symmetry in adsorption processes
R. Pastor-Satorras, J. M. Rubi
Standard models of sequential adsorption are implicitly formulated in a {\em scale invariant} form, by assuming adsorption on an infinite surface, with no characteristic length sca…
The universality class of absorbing phase transitions with a conserved field
Michela Rossi, Romualdo Pastor-Satorras, Alessandro Vespignani
We investigate the critical behavior of systems exhibiting a continuous absorbing phase transition in the presence of a conserved field coupled to the order parameter. The results…