Please use this identifier to cite or link to this item:
https://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: | https://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 |
Files in This Item:
File | Description | Size | Format | |
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AraujoNevesSousa2013.pdf | 5.05 MB | Adobe PDF | View/Open |
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