Time parameters and Lorentz transformations of relativistic stochastic processes
arXiv:0812.0466 · doi:10.1103/PhysRevE.79.010101
Abstract
Rules for the transformation of time parameters in relativistic Langevin equations are derived and discussed. In particular, it is shown that, if a coordinate-time parameterized process approaches the relativistic Juttner-Maxwell distribution, the associated proper-time parameterized process converges to a modified momentum distribution, differing by a factor proportional to the inverse energy.
5 pages, 1 figure
References in corpus (11)
- Relativistic Corrections to the Sunyaev-Zel'dovich Effect for Clusters of Galaxies
- Thermalization of Heavy Quarks in the Quark-Gluon Plasma
- Thermal equilibrium and statistical thermometers in special relativity
- Time-Dependent Stochastic Particle Acceleration in Astrophysical Plasmas: Exact Solutions Including Momentum-Dependent Escape
- Theory of the Relativistic Brownian Motion. The (1+1)-Dimensional Case
- Relative entropy, Haar measures and relativistic canonical velocity distributions
- Covariant Kinetic Theory with an Application to the Coma Cluster
- Quark Gluon Plasma Diagnostics in a Successive Equilibrium Scenario
- Central Limit Theorem for a Class of Relativistic Diffusions
- Heavy-Quark Spectra at RHIC and Resonances in the QGP
- Brownian motion approach to the ideal gas of relativistic particles
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