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Article Dans Une Revue Journal of Chemical Physics Année : 2009

Capture of particles undergoing discrete random walks

Résumé

It is shown that particles undergoing discrete-time jumps in 3D, starting at a distance r0 from the center of an adsorbing sphere of radius R, are captured with probability (R - c sigma)/r0 for r0 much greater than R, where c is related to the Fourier transform of the scaled jump distribution and sigma is the distribution's root-mean square jump length. For particles starting on the surface of the sphere, the asymptotic survival probability is non-zero (in contrast to the case of Brownian diffusion) and has a universal behavior sigma/(R sqrt(6)) depending only upon sigma/R. These results have applications to computer simulations of reaction and aggregation.

Dates et versions

hal-00397816 , version 1 (23-06-2009)

Identifiants

Citer

Robert M. Ziff, Satya N. Majumdar, Alain Comtet. Capture of particles undergoing discrete random walks. Journal of Chemical Physics, 2009, 130 (20), pp.204104. ⟨10.1063/1.3137062⟩. ⟨hal-00397816⟩
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