2009/03/15 by Z. Haba, Haba, Z.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #High Energy Astrophysical Phenomena (astro-ph.HE) #High Energy Physics - Theory (hep-th) #High-Energy Particle Collisions Research #Mathematical Physics (math-ph) #Quantum Electrodynamics and Casimir Effect
paper · pdf · doi:10.48550/arxiv.0903.2622
openalex publication_date 2009/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We obtain a limit when mass tends to zero of the relativistic diffusion of Schay and Dudley. The diffusion process has the log-normal distribution. We discuss Langevin stochastic differential equations leading to an equilibrium distribution.We show that for the Juttner equilibrium distribution the relativistic diffusion is a linear approximation to the Kompaneetz equation describing a photon diffusion in an electron gas.The stochastic equation corresponding to the Juttner distribution is explicitly soluble. We relate the relativistic diffusion to imaginary time quantum mechanics. Some astrophysical applications (including the Sunyaev-Zeldovich effect) are briefly discussed.