TY - JOUR
T1 - Diffusion-controlled reactions with mobile traps
AU - Szabo, Attila
AU - Zwanzig, Robert
AU - Agmon, Noam
PY - 1988
Y1 - 1988
N2 - A density expansion is obtained for the time dependence of the survival probability of diffusing particles in the presence of randomly distributed diffusing traps. The coefficients are expressed in terms of the exact survival probabilities in the presence of one trap, two traps, and so on. Its leading term coincides with the well-known Smoluchowski result which is shown to be exact for static particles and noninteracting mobile traps. As an application, the first correction term is calculated for a one-dimensional system and arbitrary ratios of particle and trap diffusion coefficients.
AB - A density expansion is obtained for the time dependence of the survival probability of diffusing particles in the presence of randomly distributed diffusing traps. The coefficients are expressed in terms of the exact survival probabilities in the presence of one trap, two traps, and so on. Its leading term coincides with the well-known Smoluchowski result which is shown to be exact for static particles and noninteracting mobile traps. As an application, the first correction term is calculated for a one-dimensional system and arbitrary ratios of particle and trap diffusion coefficients.
UR - http://www.scopus.com/inward/record.url?scp=0000345559&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.61.2496
DO - 10.1103/PhysRevLett.61.2496
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AN - SCOPUS:0000345559
SN - 0031-9007
VL - 61
SP - 2496
EP - 2499
JO - Physical Review Letters
JF - Physical Review Letters
IS - 21
ER -