2012/04/25 by Z. Haba, Haba, Z.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #High-Energy Particle Collisions Research #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Statistical Mechanics (cond-mat.stat-mech)
paper · pdf · doi:10.48550/arxiv.1204.5593
openalex publication_date 2012/04/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss general positivity conditions necessary for a definition of a relativistic diffusion on the phase space. We show that Lorentz covariant random vector fields on the forward cone p2≥ 0 lead to a definition of a generator of Lorentz covariant diffusions. We discuss in more detail diffusions arising from particle dynamics in a random electromagnetic field approximating the quantum field at finite temperature. We develop statistical mechanics of a gas of diffusing particles. We discuss viscosity of such a gas in an expansion in gradients of the fluid velocity.