The Simple Non-degenerate Relativistic Gas: Statistical Properties and Brownian Motion
A. Sandoval-Villalbazo, A. Aragones-Munoz, A. L. Garcia-Perciante
TL;DR
This paper presents a new calculation of the mean square displacement for a Brownian particle in a relativistic thermal environment and reviews the thermodynamic properties of a simple relativistic gas.
Contribution
It introduces a novel method for calculating Brownian motion in relativistic settings and reviews thermodynamic properties using velocity space analysis.
Findings
Derived a new expression for mean square displacement in relativistic Brownian motion.
Compared results with existing literature to validate the approach.
Reviewed thermodynamic properties of a non-degenerate relativistic gas.
Abstract
This paper shows a novel calculation of the mean square displacement of a classical Brownian particle in a relativistic thermal bath. The result is compared with the expressions obtained by other authors. Also, the thermodynamic properties of a non-degenerate simple relativistic gas are reviewed in terms of a treatment performed in velocity space.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.