title: Reaction spreading on percolating clusters.
abstract: Reaction-diffusion processes in two-dimensional percolating structures are investigated. Two different problems are addressed: reaction spreading on a percolating cluster and front propagation through a percolating channel. For reaction spreading, numerical data and analytical estimates show a power-law behavior of the reaction product as M(t)~t(d(l)), where d(l) is the connectivity dimension. In a percolating channel, a statistically stationary traveling wave develops. The speed and the width of the traveling wave are numerically computed. While the front speed is a low-fluctuating quantity and its behavior can be understood using a simple theoretical argument, the front width is a high-fluctuating quantity showing a power-law behavior as a function of the size of the channel.
authors.affiliation: Dipartimento di Fisica, Università La Sapienza, Piazzale Aldo Moro 2, I-00185 Roma, Italy.
authors.forename: Federico
authors.initials: F
authors.lastname: Bianco
authors.forename: Sergio
authors.initials: S
authors.lastname: Chibbaro
authors.forename: Davide
authors.initials: D
authors.lastname: Vergni
authors.forename: Angelo
authors.initials: A
authors.lastname: Vulpiani