Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/45003
Title: Numerical solution for a non-Fickian diffusion in a periodic potential
Authors: Araújo, Adérito 
Das, Amal K. 
Neves, Cidália 
Sousa, Ercília 
Issue Date: 2013
Publisher: Global Science Press; Cambridge University Press
Project: PEst-C/MAT/UI0324/2011 
Serial title, monograph or event: Communications in Computational Physics
Volume: 13
Issue: 2
Abstract: 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.
URI: http://hdl.handle.net/10316/45003
DOI: 10.4208/cicp.280711.010312a
10.4208/cicp.280711.010312a
Rights: openAccess
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais

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