6 papers · 1 filter
First-passage times for random walks in bounded domains
S Condamin, O. Benichou, M. Moreau
We present a novel computational method of first-passage times between a starting site and a target site of regular bounded lattices. We derive accurate expressions for all the mom…
First exit times and residence times for discrete random walks on finite lattices
S. Condamin, O. Benichou, M. Moreau
In this paper, we derive explicit formulas for the surface averaged first exit time of a discrete random walk on a finite lattice. We consider a wide class of random walks and latt…
Kinetics of diffusion-limited catalytically-activated reactions: An extension of the Wilemski-Fixman approach
O. Bénichou, M. Coppey, M. Moerau +1
We study kinetics of diffusion-limited catalytically-activated reactions taking place in three dimensional systems, in which an annihilation of diffusive particle…
Optimal search strategies for hidden targets
O. Benichou, M. Coppey, M. Moreau +2
What is the fastest way of finding a randomly hidden target? This question of general relevance is of vital importance for foraging animals. Experimental observations reveal that t…
Corrections to the Law of Mass Action and Properties of the Asymptotic State for Reversible Diffusion-Limited Reactions
R. Voituriez, M. Moreau, G. Oshanin
On example of diffusion-limited reversible reactions we re-examine two fundamental concepts of classical chemical kinetics - the notion of "Chemical Equi…
Reversible Diffusion-Limited Reactions: "Chemical Equilibrium" State and the Law of Mass Action Revisited
R. Voituriez, M. Moreau, G. Oshanin
The validity of two fundamental concepts of classical chemical kinetics - the notion of "Chemical Equilibrium" and the "Law of Mass Action" - are re-examined for reversible \textit…