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Stochastic models for relativistic diffusion
Journal article

Stochastic models for relativistic diffusion

Boris Baeumer, Mark M. Meerschaert and Mark Naber
Physical review. E, Statistical, nonlinear, and soft matter physics, Vol.82(1), pp.011132-011132
07/2010

Abstract

Physical Sciences Physics Physics, Fluids & Plasmas Physics, Mathematical Science & Technology
The diffusion equation is related to the Schrodinger equation by analytic continuation. The formula E-2 = p(2)c(2)+m(2)c(4) leads to a relativistic Schrodinger equation, and analytic continuation yields a relativistic diffusion equation that involves fractional calculus. This paper develops stochastic models for relativistic diffusion and equivalent differential equations with no fractional derivatives. Connections to anomalous diffusion are also discussed, along with alternative models.

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