BibTeX
CSL-JSON
MLA
Harvard
Numerical Solution for a Non-Fickian Diffusion in a Periodic Potential
release_xhzjkpob65el5h55f5od5xlwi4
by
Adérito Araújo,
Amal K. Das,
Cidália Neves,
Ercília Sousa
Published
in Communications in Computational Physics
by Global Science Press.
2013 Volume 13, Issue 02, p502-525
Abstract
<jats:title>Abstract</jats:title>Numerical solutions of a non-Fickian diffusion equation belonging to a hyperbolic type are presented in one space dimension. The Brownian particle modelled by this diffusion equation is subjected to a symmetric periodic potential whose spatial shape can be varied by a single parameter. We consider a numerical method which consists of applying Laplace transform in time; we then obtain an elliptic diffusion equation which is discretized using a finite difference method. We analyze some aspects of the convergence of the method. Numerical results for particle density, flux and mean-square-displacement (covering both inertial and diffusive regimes) are presented.
In application/xml+jats format
Archived Files and Locations
application/pdf
377.4 kB
file_gw6jt4ygqjbfxjlpphslckuki4
| |
application/pdf
335.0 kB
file_mt34gp224zb4zl7okdp6ymoasm
|
web.archive.org (webarchive) web.archive.org (webarchive) www.mat.uc.pt (web) www.mat.uc.pt (web) |
Read Archived PDF
Preserved and Accessible
Work Entity
access all versions, variants, and formats of this works (eg, pre-prints)
access all versions, variants, and formats of this works (eg, pre-prints)
Cite This
Lookup Links
oaDOI/unpaywall (OA fulltext)
Crossref Metadata (via API)
Worldcat
SHERPA/RoMEO (journal policies)
wikidata.org
CORE.ac.uk
Semantic Scholar
Google Scholar
Crossref Metadata (via API)
Worldcat
SHERPA/RoMEO (journal policies)
wikidata.org
CORE.ac.uk
Semantic Scholar
Google Scholar