title: Lattice theory of trapping reactions with mobile species.
abstract: We present a stochastic lattice theory describing the kinetic behavior of trapping reactions A+B-->B, in which both the A and B particles perform an independent stochastic motion on a regular hypercubic lattice. Upon an encounter of an A particle with any of the B particles, A is annihilated with a finite probability; finite reaction rate is taken into account by introducing a set of two-state random variables--"gates," imposed on each B particle, such that an open (closed) gate corresponds to a reactive (passive) state. We evaluate here a formal expression describing the time evolution of the A particle survival probability, which generalizes our previous results. We prove that for quite a general class of random motion of the species involved in the reaction process, for infinite or finite number of traps, and for any time t, the A particle survival probability is always larger in the case when A stays immobile, than in situations when it moves.
authors.affiliation: Laboratoire de Physique Théorique des Liquides, University Pierre et Marie Curie, 75252 Paris Cedex 05, France.
authors.forename: M
authors.initials: M
authors.lastname: Moreau
authors.forename: G
authors.initials: G
authors.lastname: Oshanin
authors.forename: O
authors.initials: O
authors.lastname: Bénichou
authors.forename: M
authors.initials: M
authors.lastname: Coppey