Numerical Solution for a Non-Fickian Diffusion in a Periodic Potential
2013 ◽
Vol 13
(2)
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pp. 502-525
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Keyword(s):
AbstractNumerical 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.
1980 ◽
Vol 44
(3)
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pp. 656-658
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1994 ◽
Vol 60
(575)
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pp. 2397-2403
Keyword(s):
2010 ◽
Vol 61
(4)
◽
pp. 252-256
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2019 ◽
Vol 18
(02)
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pp. 1940005
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