title: Linear and anomalous front propagation in systems with non-Gaussian diffusion: The importance of tails.
abstract: We investigate front propagation in systems with diffusive and subdiffusive behavior. The scaling behavior of moments of the diffusive problem, both in the standard and in the anomalous cases, is not enough to determine the features of the reactive front. In fact, the shape of the bulk of the probability distribution of the transport process, which determines the diffusive properties, is important just for preasymptotic behavior of front propagation, while the precise shape of the tails of the probability distribution determines asymptotic behavior of front propagation.
authors: Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica, Università dell'Aquila, L'Aquila, Italy.
authors: Maurizio
authors: M
authors: Serva
authors: Istituto per le Applicazioni del Calcolo "Mauro Picone," CNR, Roma, Italy.
authors: Davide
authors: D
authors: Vergni
authors: Dipartimento di Fisica, Università di Roma "Sapienza," and ISC-CNR, Roma, Italy.
authors: Angelo
authors: A
authors: Vulpiani