On the diffusion of a point source modelled by a mixed derivative equation

E. Momoniat

doi:10.1016/j.physa.2008.01.022

On the diffusion of a point source modelled by a mixed derivative equation

E. Momoniat

University of the Witwatersrand

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We consider a linear constant coefficient diffusion equation with a mixed derivative term that exhibits the same statistical properties as the phenomenological diffusion equation. The solution of this diffusion equation represents the time evolution of a probability distribution with oscillating tails.

Original language	English
Pages (from-to)	2427-2432
Number of pages	6
Journal	Physica A: Statistical Mechanics and its Applications
Volume	387
Issue number	11
DOIs	https://doi.org/10.1016/j.physa.2008.01.022
Publication status	Published - 15 Apr 2008
Externally published	Yes

Keywords

Cattaneo's equation
Fourier integral
Mixed derivative
Point source

ASJC Scopus subject areas

Statistics and Probability
Condensed Matter Physics

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10.1016/j.physa.2008.01.022

Cite this

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title = "On the diffusion of a point source modelled by a mixed derivative equation",

abstract = "We consider a linear constant coefficient diffusion equation with a mixed derivative term that exhibits the same statistical properties as the phenomenological diffusion equation. The solution of this diffusion equation represents the time evolution of a probability distribution with oscillating tails.",

keywords = "Cattaneo's equation, Fourier integral, Mixed derivative, Point source",

author = "E. Momoniat",

year = "2008",

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N2 - We consider a linear constant coefficient diffusion equation with a mixed derivative term that exhibits the same statistical properties as the phenomenological diffusion equation. The solution of this diffusion equation represents the time evolution of a probability distribution with oscillating tails.

AB - We consider a linear constant coefficient diffusion equation with a mixed derivative term that exhibits the same statistical properties as the phenomenological diffusion equation. The solution of this diffusion equation represents the time evolution of a probability distribution with oscillating tails.

KW - Cattaneo's equation

KW - Fourier integral

KW - Mixed derivative

KW - Point source

UR - https://www.scopus.com/pages/publications/39549097314

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DO - 10.1016/j.physa.2008.01.022

M3 - Article

AN - SCOPUS:39549097314

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JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 11

ER -

On the diffusion of a point source modelled by a mixed derivative equation

Abstract

Keywords

ASJC Scopus subject areas

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