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

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

2006-03-21

arxiv.org/abs/cond-mat/0603560v2

Physical Review E 74, 012102 (2006)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevE.74.012102

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 Hanggi-Klimontovich 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.

Affiliated with

Also associated with

No associations

Rating

Macroscopic description of particle systems with non-local density-dependent diffusivity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Macroscopic description of particle systems with non-local density-dependent diffusivity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Macroscopic description of particle systems with non-local density-dependent diffusivity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-302235