Finite-velocity diffusion in the presence of a force

We have studied a Cattaneo–Fick diffusion process in the presence of a deterministic force. Specifically, analytic results for the stationary probability distribution are solved for stable and unstable potentials. It is shown that the finite support as well as the shape of the stationary density are...

Full description

Saved in:
Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2021-03, Vol.54 (11), p.115002
Main Author: Cáceres, Manuel O
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We have studied a Cattaneo–Fick diffusion process in the presence of a deterministic force. Specifically, analytic results for the stationary probability distribution are solved for stable and unstable potentials. It is shown that the finite support as well as the shape of the stationary density are controlled by the telegrapher’s parameters (relaxation time T and velocity of propagation θ ). We have found the occurrence of a multimodality transition depending on the critical exponent of the potential and parameters T , θ . This research is motivated by the study of exact results for generic Smoluchoswki-like processes with finite-velocity diffusion.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/abdef3