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- W2088938151 abstract "Mapping of the diffusion equation in a channel of varying cross section onto the longitudinal coordinate is already a well studied procedure for a slowly changing radius. We examine here the mapping of diffusion in a channel with abrupt change of diameter. In two dimensions, our considerations are based on solution of the exactly solvable geometry with abruptly doubled width at x=0. We verify the surmise of Berezhkovskii [J. Chem. Phys. 131, 224110 (2009)] that one-dimensional diffusion behaves as free in such channels everywhere except at the point of change, which looks like a local trap for the particles. Applying the method of sewing of solutions, we show that this picture is valid also for three-dimensional symmetric channels." @default.
- W2088938151 created "2016-06-24" @default.
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- W2088938151 date "2010-09-30" @default.
- W2088938151 modified "2023-10-16" @default.
- W2088938151 title "Mapping of diffusion in a channel with abrupt change of diameter" @default.
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- W2088938151 doi "https://doi.org/10.1103/physreve.82.031143" @default.
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