Por favor, use este identificador para citar o enlazar a este item:
http://hdl.handle.net/10261/6123
COMPARTIR / EXPORTAR:
SHARE CORE BASE | |
Visualizar otros formatos: MARC | Dublin Core | RDF | ORE | MODS | METS | DIDL | DATACITE | |
Título: | Macroscopic description of particle systems with non-local density-dependent diffusivity. |
Autor: | López, Cristóbal CSIC ORCID | Palabras clave: | Diffusion Brownian motion Discrete time systems Density |
Fecha de publicación: | 20-jul-2006 | Editor: | American Physical Society | Citación: | Physical Review E 74, 012102 (2006) | Resumen: | In this paper we study macroscopic density equations in which the diffusion coefficient depends on a weighted spatial average of the density itself. We show that large differences (not present in the local density-dependence case) appear between the density equations that are derived from different representations of the Langevin equation describing a system of interacting Brownian particles. Linear stability analysis demonstrates that under some circumstances the density equation interpreted like Ito has pattern solutions, which never appear for the kinetic interpretation, which is the other one typically appearing in the context of nonlinear diffusion processes. We also introduce a discrete-time microscopic model of particles that confirms the results obtained at the macroscopic density level. | Descripción: | 4 pages.-- PACS numbers: 05.40.-a, 87.23.Cc, 05.10.Gg.-- Final full-text version of the paper available at: http://dx.doi.org/10.1103/PhysRevE.74.012102. | URI: | http://hdl.handle.net/10261/6123 | DOI: | 10.1103/PhysRevE.74.012102 | ISSN: | 1539-3755 |
Aparece en las colecciones: | (IFISC) Artículos |
Ficheros en este ítem:
Fichero | Descripción | Tamaño | Formato | |
---|---|---|---|---|
PhysRevE_74_012102.pdf | 125,35 kB | Adobe PDF | Visualizar/Abrir |
CORE Recommender
SCOPUSTM
Citations
12
checked on 21-abr-2024
WEB OF SCIENCETM
Citations
12
checked on 25-feb-2024
Page view(s)
335
checked on 23-abr-2024
Download(s)
280
checked on 23-abr-2024
Google ScholarTM
Check
Altmetric
Altmetric
NOTA: Los ítems de Digital.CSIC están protegidos por copyright, con todos los derechos reservados, a menos que se indique lo contrario.