97 citations · 356 across the 12 of their papers we have counts for
7 papers · 1 filter
On the adiabatic properties of a stochastic adiabatic wall: Evolution, stationary non-equilibrium, and equilibrium states
Ch. Gruber, L. Frachebourg
The time evolution of the adiabatic piston problem and the consequences of its stochastic motion are investigated. The model is a one dimensional piston of mass separating two…
Exact solution of the one-dimensional ballistic aggregation
L. Frachebourg
An exact expression for the mass distribution of the ballistic aggregation model in one dimension is derived in the long time regime. It is shown that it obeys scaling $ρ(…
Aging and its Distribution in Coarsening Processes
L. Frachebourg, P. L. Krapivsky, S. Redner
We investigate the age distribution function P(tau,t) in prototypical one-dimensional coarsening processes. Here P(tau,t) is the probability density that in a time interval (0,t) a…
Deterministic Soluble Model of Coarsening
L. Frachebourg, P. L. Krapivsky
We investigate a 3-phase deterministic one-dimensional phase ordering model in which interfaces move ballistically and annihilate upon colliding. We determine analytically the auto…
Heterogeneous Catalysis on a Disordered Surface
L. Frachebourg, P. L. Krapivsky, S. Redner
We introduce a simple model of heterogeneous catalysis on a disordered surface which consists of two types of randomly distributed sites with different adsorption rates. Disorder c…
Ballistic annihilation kinetics for a multi-velocity one-dimensional ideal gas
Michel Droz, Pierre-Antoine Rey, Laurent Frachebourg +1
Ballistic annihilation kinetics for a multi-velocity one-dimensional ideal gas is studied in the framework of an exact analytic approach. For an initial symmetric three-velocity di…
Exact Correlation Function at the Lifshitz Points of the Spherical Model
Laurent Frachebourg, Malte Henkel
The spin-spin correlation function of the spherical model being precisely at an anisotropic Lifshitz point of arbitrary order is calculated exactly. The results are in agreement wi…