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Breakdown of metastable step-flow growth on vicinal surfaces induced by nucleation
Daniele Vilone, Claudio Castellano, Paolo Politi
We consider the growth of a vicinal crystal surface in the presence of a step-edge barrier. For any value of the barrier strength, measured by the length l_es, nucleation of island…
Mean-field limit of systems with multiplicative noise
Miguel A. Munoz, Francesca Colaiori, Claudio castellano
A detailed study of the mean-field solution of Langevin equations with multiplicative noise is presented. Three different regimes depending on noise-intensity (weak, intermediate,…
Non mean-field behavior of the contact process on scale-free networks
Claudio Castellano, Romualdo Pastor-Satorras
We present an analysis of the classical contact process on scale-free networks. A mean-field study, both for finite and infinite network sizes, yields an absorbing-state phase tran…
Effect of network topology on the ordering dynamics of voter models
Claudio Castellano
We introduce and study the reverse voter model, a dynamics for spin variables similar to the well-known voter dynamics. The difference is in the way neighbors influence each other:…
Comparison of voter and Glauber ordering dynamics on networks
Claudio Castellano, Vittorio Loreto, Alain Barrat +2
We study numerically the ordering process of two very simple dynamical models for a two-state variable on several topologies with increasing levels of heterogeneity in the degree d…