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- W1987057097 abstract "Diffusion in an external potential in a two-dimensional channel of varying cross section is considered. We show that a rigorous mapping procedure applied on the corresponding Smoluchowski equation yields a one-dimensional evolution equation of the Fick-Jacobs type corrected by an effective coefficient D(x). The procedure enables us to derive this function within a recurrence scheme. We test this result on a model of stationary diffusion in a linear cone in a homogeneous potential, which is exactly solvable. Extension of the approximate formulas for D(x) derived for the diffusion alone is discussed." @default.
- W1987057097 created "2016-06-24" @default.
- W1987057097 creator A5022075145 @default.
- W1987057097 date "2009-09-04" @default.
- W1987057097 modified "2023-09-25" @default.
- W1987057097 title "Mapping of forced diffusion in quasi-one-dimensional systems" @default.
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- W1987057097 doi "https://doi.org/10.1103/physreve.80.031106" @default.
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- W1987057097 hasPublicationYear "2009" @default.
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