Spatiotemporal properties of diffusive systems with a mobile imperfect trap

Zbigniew Koza, Haim Taitelbaum

Research output: Contribution to journalArticlepeer-review

23 Scopus citations


We study analytically a one-dimensional system initially uniformly filled with diffusing particles [Formula Presented], and a single imperfect mobile trap [Formula Presented] initially located at the origin, [Formula Presented]. For arbitrary values of diffusion constants [Formula Presented] [Formula Presented] and any trapping rate constant [Formula Presented], we calculate exactly the total rate of trapping as well as the asymptotic concentration of [Formula Presented]’s at [Formula Presented]. For [Formula Presented] we also analytically derive the local rate of trapping and the concentration of [Formula Presented]’s at any point [Formula Presented]. Characteristic length scales and extensions to higher dimensions are also discussed.

Original languageEnglish
Pages (from-to)237-243
Number of pages7
JournalPhysical Review E
Issue number1
StatePublished - 1998


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