Dimensional reduction of a general advection-diffusion equation in 2D channels

0540595 - FZÚ 2021 RIV GB eng J - Článek v odborném periodiku
Kalinay, P. - Slanina, František
Dimensional reduction of a general advection-diffusion equation in 2D channels.
Journal of Physics-Condensed Matter. Roč. 30, č. 24 (2018), s. 1-9, č. článku 244002. ISSN 0953-8984. E-ISSN 1361-648X
Grant CEP: GA ČR GA17-06716S
Institucionální podpora: RVO:68378271
Klíčová slova: brownian ratchets * particle-transport * entropy * driven diffusion * confined systems * Fick-Jacobs equation
Obor OECD: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impakt faktor: 2.711, rok: 2018
Způsob publikování: Omezený přístup
https://doi.org/10.1088/1361-648X/aac146

Diffusion of point-like particles in a two-dimensional channel of varying width is studied. The particles arc driven by an arbitrary space dependent force. We construct a general recurrence procedure mapping the corresponding two-dimensional advection-diffusion equation onto the longitudinal coordinate x. Unlike the previous specific cases, the presented procedure enables us to find the one-dimensional description of the confined diffusion even for nonconservative (vortex) forces, e.g. caused by flowing solvent dragging the particles. We show that the result is again the generalized Fick-Jacobs equation. Despite of non existing scalar potential in the case of vortex forces, the effective one-dimensional scalar potential, as well as the corresponding quasi-equilibrium and the effective diffusion coefficient D(x) can be always found.
Trvalý link: http://hdl.handle.net/11104/0318218