67 citations · 252 across the 9 of their papers we have counts for
9 papers
Lattice theory of trapping reactions with mobile species
M. Moreau, G. Oshanin, O. Benichou +1
We present a stochastic lattice theory describing the kinetic behavior of trapping reactions , in which both the and particles perform an independent stochasti…
The Last Passage Problem on Graphs
Jean Desbois, Olivier Benichou
We consider a Brownian motion on a general graph, that starts at time t=0 from some vertex O and stops at time t somewhere on the graph. Denoting by g the last time when O is reach…
Pascal Principle for Diffusion-Controlled Trapping Reactions
M. Moreau, G. Oshanin, O. Benichou +1
"All misfortune of man comes from the fact that he does not stay peacefully in his room", has once asserted Blaise Pascal. In the present paper we evoke this statement as the "Pasc…
Exactly solvable model of reactions on a random catalytic chain
G. Oshanin, O. Benichou, A. Blumen
In this paper we study a catalytically-activated A + A \to 0 reaction taking place on a one-dimensional regular lattice which is brought in contact with a reservoir of A particles.…
Exactly solvable model of A + A \to 0 reactions on a heterogeneous catalytic chain
G. Oshanin, O. Benichou, A. Blumen
We present an exact solution describing equilibrium properties of the catalytically-activated A + A \to 0 reaction taking place on a one-dimensional lattice, where some of the site…
Biased Tracer Diffusion in Hard-Core Lattice Gases: Some Notes on the Validity of the Einstein Relation
G. Oshanin, O. Benichou, S. F. Burlatsky +1
In this presentation we overview some recent results on biased tracer diffusion in lattice gases. We consider both models in which the gas particles density is explicitly conserved…