Annihilation reaction in a quasi-one-dimensional substrate

A.L. Parrondo and H.O. Mártin

Physica A: Statistical Mechanics and its Applications, 1999, vol. 273, issue 3, 360-367

Abstract: We study the annihilation reaction A+A→0 in a two-dimensional square lattice of width W and an infinite length. The behaviour of the density of particles ρ(t) is analyzed. This system exhibits a crossover time tc between the short-time (two-dimensional) and the long-time (one-dimensional) regimes. Using simple arguments and scaling functions we obtain an analytical expression of ρ(t) in the long-time regime which is in excellent agreement with Monte Carlo data, an approximation of ρ(t) for all times and the behaviour of tc as a function of W.

Keywords: Annihilation reaction; Dimensional crossover; Substrate strip (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:273:y:1999:i:3:p:360-367

DOI: 10.1016/S0378-4371(99)00223-X

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