97 citations · 356 across the 12 of their papers we have counts for
12 papers
Imaginary noise and parity conservation in the reaction A+A <--> 0
O. Deloubrière, L. Frachebourg, H. J. Hilhorst +1
The master equation for the reversible reaction A+A <--> 0 is considered in Poisson representation, where it is equivalent to a Langevin equation with imaginary noise for a complex…
Ballistic aggregation: a solvable model of irreversible many particles dynamics
L. Frachebourg, Ph. A. Martin, ; J. Piasecki
The adhesive dynamics of a one-dimensional aggregating gas of point particles is rigorously described. The infinite hierarchy of kinetic equations for the distributions of clusters…
Exact statistical properties of the Burgers equation
L. Frachebourg, Ph. A. Martin
The one dimensional Burgers equation in the inviscid limit with white noise initial condition is revisited. The one- and two-point distributions of the Burgers field as well as the…
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(…
Fixation in a cyclic Lotka-Volterra model
L. Frachebourg, P. L. Krapivsky
We study a cyclic Lotka-Volterra model of N interacting species populating a d-dimensional lattice. In the realm of a Kirkwood approximation, a critical number of species N_c(d) ab…
Alternating Kinetics of Annihilating Random Walks Near a Free Interface
L. Frachebourg, P. L. Krapivsky, S. Redner
The kinetics of annihilating random walks in one dimension, with the half-line x>0 initially filled, is investigated. The survival probability of the nth particle from the interfac…
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…