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From Reaction-Diffusion Systems to Confined Brownian Motion | | Steffen Martens
; | | Date: |
2 May 2016 | | Abstract: | In this note, we demonstrated for the first time that one can derive an
expression for the effective diffusion coefficient, equal to the Lifson-Jackson
formula, using a subsequent homogenization of the 1D
reaction-diffusion-advection equation. The latter has been derived by applying
asymptotic perturbation analysis to the underlying 3D reaction-diffusion
equation with spatially dependent no-flux boundary conditions and incorporates
the effects of boundary interactions on the reactants via a boundary-induced
advection term [S. Martens et al, Phys. Rev. E 91, 022902 (2015)]. | | Source: | arXiv, 1605.0485 | | Services: | Forum | Review | PDF | Favorites | |
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