| Issue |
EPL
Volume 126, Number 5, June 2019
|
|
|---|---|---|
| Article Number | 50001 | |
| Number of page(s) | 7 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/126/50001 | |
| 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
(a) massimiliano.giona@uniroma1.it
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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