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Diffusion Models with Relativity Effects

Published online by Cambridge University Press:  05 September 2017

Violet R. Cane
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Abstract

In this paper models for diffusion in one dimension are obtained which are based on correlated random walks. The equations for diffusion with drift can be transformed into the equations for diffusion without drift (and conversely) by the transformations of Special Relativity Theory. The relationship of these equations to Maxwell's equations for electromagnetic phenomena is discussed.

Type
Part VII — Probability Models in the Physical Sciences
Information
Journal of Applied Probability , Volume 12 , Issue S1 , 1975 , pp. 263 - 273
Copyright
Copyright © 1975 Applied Probability Trust 

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References

[1] Bartlett, M. S. (1957) Some problems associated with random velocity. Publ. Inst. Statist. Univ. Paris 6, fasc. 4., 261–270.Google Scholar
[2] Dirac, P. A. M. (1958) The Principles of Quantum Mechanics, Chapter XI. Clarendon Press, Oxford.Google Scholar
[3] Feller, W. (1962) An Introduction to Probability Theory and its Applications, Vol. 1. (2nd. Ed). Wiley and Sons, New York.Google Scholar
[4] Gillis, J. (1955) Correlated random walks. Proc. Camb. Phil. Soc. 51, 639–651.Google Scholar