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Lattice theory of trapping reactions with mobile species | | M.Moreau
; G.Oshanin
; O.Benichou
; M.Coppey
; | | Date: |
12 Dec 2003 | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Affiliation: | LPTL, University of Paris 6, Paris, France; LPMC, College de France, Paris, France | | Abstract: | We present a stochastic lattice theory describing the kinetic behavior of trapping reactions $A + B o B$, 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 case when $A$ stays immobile, than in situations when it moves. | | Source: | arXiv, cond-mat/0401190 | | Services: | Forum | Review | PDF | Favorites | |
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