Showing papers by "Andre C. Barato published in 2009"

Nonequilibrium wetting

Abstract: When a nonequilibrium growing interface in the presence of a wall is considered a nonequilibrium wetting transition may take place This transition can be studied trough Langevin equations or discrete growth models In the first case, the Kardar-Parisi-Zhang equation, which defines a very robust universality class for nonequilibrium moving interfaces, with a soft-wall potential is considered While in the second, microscopic models, in the corresponding universality class, with evaporation and deposition of particles in the presence of hard-wall are studied Equilibrium wetting is related to a particular case of the problem, it corresponds to the Edwards-Wilkinson equation with a potential in the continuum approach or to the fulfillment of detailed balance in the microscopic models In this review we present the analytical and numerical methods used to investigate the problem and the very rich behavior that is observed with them

Non-equilibrium phase transition in a spreading process on a timeline

Abstract: We consider a non-equilibrium process on a timeline with discrete sites which evolves following a non-Markovian update rule in such a way that an active site at time t activates one or several sites in the future at time t+Δt. The time intervals Δt are distributed algebraically as (Δt)−1−κ, where 0<κ<1 is a control parameter. Depending on the activation rate, the system displays a non-equilibrium phase transition which may be interpreted as directed percolation transition driven by temporal Levy flights in the limit of zero space dimensions. The critical properties are investigated by means of extensive numerical simulations and compared with field-theoretic predictions.