On the Causality and Stability of the Relativistic Diffusion Equation

Details On the Causality and Stability of the Relativistic Diffusion Equation On the Causality and Stability of the Relativistic Diffusion Equation

2000-10-19

arxiv.org/abs/cond-mat/0010276v1

Phys. Rev. D 62, 023003 (2000)

Physics

Condensed Matter

Statistical Mechanics

6 pages

Scientific paper

10.1103/PhysRevD.62.023003

This paper examines the mathematical properties of the relativistic diffusion equation. The peculiar solution which Hiscock and Lindblom identified as an instability is shown to emerge from an ill-posed initial value problem. These do not meet the mathematical conditions required for realistic physical problems and can not serve as an argument against the relativistic hydrodynamics of Landau and Lifshitz.

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