Statistical properties of the distance between a trapping center and a uniform density of diffusing particles in two dimensions

S. Havlin, H. Larralde, R. Kopelman and G.H. Weiss

Physica A: Statistical Mechanics and its Applications, 1990, vol. 169, issue 3, 337-341

Abstract: Several analyses of self-segregation properties of reaction-diffusion systems in low dimensions have been based on a simplified model in which an initially uniform concentration of point particles is depleted by reaction with an immobilized trap. A measure of self-segregation in this system is the distance of the trap from the nearest untrapped particle. In one dimension the average of this distance has been shown to increase at a rate proportional to t14. We show that this rate in a two-dimensional system is asymptotically proportional to (In t)12, and that the concentration profile in the neighborhood of the trap is proportional to (ln rlnt).

Date: 1990
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:169:y:1990:i:3:p:337-341

DOI: 10.1016/0378-4371(90)90105-2

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