Relativistic Statistical Mechanics with Angular Momentum
Tadas K Nakamura
TL;DR
This paper derives an equilibrium distribution function for a relativistic ideal gas that incorporates angular momentum effects, aligning with kinetic theory and thermodynamics, and discusses potential extensions to curved spacetimes.
Contribution
It introduces a new derivation of the relativistic equilibrium distribution including angular momentum, enhancing understanding of relativistic thermodynamics.
Findings
Distribution function agrees with kinetic theory
Incorporates intrinsic angular momentum effects
Applicable to flat and static curved spacetimes
Abstract
The equilibrium distribution function of a relativistic ideal gas has been derived to include the effect of angular momentum. The result agrees with the one obtained from kinetic theory, and consistent with relativistic thermodynamics. The role of angular momentum becomes transparent in this derivation, and the equilibrium distribution can be generalized to accommodate the effect of intrinsic angular momentum. The results here is for a flat spacetime, however, same approach can be applied to static curved spacetimes.
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.