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Relativistic diffusion with friction on a pseudoriemannian manifold · Around

2009

Relativistic diffusion with friction on a pseudoriemannian manifold

Haba, Z.

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We study a relativistic diffusion equation on the Riemannian phase space defined by Franchi and Le Jan.

We discuss stochastic Ito (Langevin) differential equations (defining the diffusion) as a perturbation by noise of the geodesic equation.
We show that the expectation value of the angular momentum and the energy grow exponentially fast.
We discuss drifts leading to an equilibrium.

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Then

I.Bailleul,Prob.Theory Relat. Fields 141
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C. Chevalier and F. Debbasch, AIP Conf.Proc. 913

2007

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P. Collas and D. Klein, Gen.Rel.Grav. 39

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I. Bailleul, arXiv:0810.5662

Cited in the paper.

Z.Haba,arXiv:0911.3126

Cited in the paper.

R.Rapp and H. van Hees, arXiv:0803.0901

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J. Dunkel, P. Hänggi and S. Weber, Phys.Rev. E 79

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