English   español  
Por favor, use este identificador para citar o enlazar a este item: http://hdl.handle.net/10261/6123
COMPARTIR / IMPACTO:
Estadísticas
logo share SHARE logo core CORE   Add this article to your Mendeley library MendeleyBASE

Visualizar otros formatos: MARC | Dublin Core | RDF | ORE | MODS | METS | DIDL
Exportar a otros formatos:
Título

Macroscopic description of particle systems with non-local density-dependent diffusivity.

AutorLópez, Cristóbal
Palabras claveDiffusion
Brownian motion
Discrete time systems
Density
Fecha de publicación20-jul-2006
EditorAmerican Physical Society
CitaciónPhysical Review E 74, 012102 (2006)
ResumenIn 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.
Descripción4 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.
URIhttp://hdl.handle.net/10261/6123
DOI10.1103/PhysRevE.74.012102
ISSN1539-3755
Aparece en las colecciones: (IFISC) Artículos
Ficheros en este ítem:
Fichero Descripción Tamaño Formato  
PhysRevE_74_012102.pdf125,35 kBAdobe PDFVista previa
Visualizar/Abrir
Mostrar el registro completo
 

Artículos relacionados:


NOTA: Los ítems de Digital.CSIC están protegidos por copyright, con todos los derechos reservados, a menos que se indique lo contrario.