Volume 126, Number 5, June 2019
|Number of page(s)||7|
|Published online||04 July 2019|
Relativistic Poisson-Kac processes and equilibrium Jüttner distribution
DICMA, Facoltà di Ingegneria, La Sapienza Università di Roma - via Eudossiana 18, 00184 Roma, Italy
Received: 30 January 2019
Accepted: 17 May 2019
It is shown that relativistic Ornstein-Uhlenbeck processes driven by stochastic perturbations possessing finite propagation velocity, and specifically by Poisson-Kac processes, are consistent with the known equilibrium velocity distribution of a relativistic gas (Jüttner distribution). Some observations on the boundedness of acceleration are addressed from elementary quantum principles (quantization of the action variable).
PACS: 02.50.Ey – Stochastic processes / 03.30.+p – Special relativity / 05.70.-a – Thermodynamics
© EPLA, 2019
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