Linearized Kompaneetz equation as a relativistic diffusion

Details Linearized Kompaneetz equation as a relativistic diffusion Linearized Kompaneetz equation as a relativistic diffusion

2009-10-12

arxiv.org/abs/0910.2253v1

Mod.Phys.Lett.A24,3193(2009)

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

12 pages

Scientific paper

We show that Kompaneetz equation describing photon diffusion in an environment of an electron gas, when linearized around its equilibrium distribution, coincides with the relativistic diffusion discussed in recent publications. The model of the relativistic diffusion is related to soluble models of imaginary time quantum mechanics. We suggest some non-linear generalizations of the relativistic diffusion equation and their astrophysical applications (in particular to the Sunyaev-Zeldovich effect).

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