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

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F18%3A00540595" target="_blank" >RIV/68378271:_____/18:00540595 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1088/1361-648X/aac146" target="_blank" >https://doi.org/10.1088/1361-648X/aac146</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1361-648X/aac146" target="_blank" >10.1088/1361-648X/aac146</a>

Result language

angličtina

Original language name

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

Original language description

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.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Project

<a href="/en/project/GA17-06716S" target="_blank" >GA17-06716S: Stochastic thermodynamics of molecular systems: from classical to quantum</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2018

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Physics-Condensed Matter

ISSN

0953-8984

e-ISSN

—

Volume of the periodical

30

Issue of the periodical within the volume

24

Country of publishing house

GB - UNITED KINGDOM

Number of pages

9

Pages from-to

1-9

UT code for WoS article

000432914500002

EID of the result in the Scopus database

2-s2.0-85048119169