35 citations · 53 across the 3 of their papers we have counts for
8 papers
Kinetics of ballistic annihilation and branching
Pierre-Antoine Rey, Michel Droz, Jaroslaw Piasecki
We consider a one-dimensional model consisting of an assembly of two-velocity particles moving freely between collisions. When two particles meet, they instantaneously annihilate e…
Asymptotic form of the approach to equilibrium in reversible recombination reactions
Pierre-Antoine Rey, John Cardy
The reversible reactions A+A<=>C and A+B<=>C are investigated. From the exact Langevin equations describing our model, we set up a systematic approximation scheme to compute the ap…
Search for universality in one-dimensional ballistic annihilation kinetics
Pierre-Antoine Rey, Michel Droz, Jaroslaw Piasecki
We study the kinetics of ballistic annihilation for a one-dimensional ideal gas with continuous velocity distribution. A dynamical scaling theory for the long time behavior of the…
A renormalization group study of a class of reaction-diffusion model, with particles input
Pierre-Antoine Rey, Michel Droz
We study a class of reaction-diffusion model extrapolating continuously between the pure coagulation-diffusion case () and the pure annihilation-diffusion one ($A+A\to\em…
Front localization in a ballistic annihilation model
Pierre-Antoine Rey, Michel Droz, Jaroslaw Piasecki
We study the possibility of localization of the front present in a one-dimensional ballistically-controlled annihilation model in which the two annihilating species are initially s…
Front formation in a ballistic annihilation model
Jarosław Piasecki, Pierre-Antoine Rey, Michel Droz
We study a simple one-dimensional model of ballisticaly-controlled annihilation in which the two annihilating species are initially spatially separated. The time dependent properti…