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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

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

Projekt

<a href="/cs/project/GA17-06716S" target="_blank" >GA17-06716S: Stochastická termodynamika molekulárních systémů: od klasické ke kvantové</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

Journal of Physics-Condensed Matter

ISSN

0953-8984

e-ISSN

—

Svazek periodika

30

Číslo periodika v rámci svazku

24

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

9

Strana od-do

1-9

Kód UT WoS článku

000432914500002

EID výsledku v databázi Scopus

2-s2.0-85048119169