Stationarity, soft ergodicity, and entropy in relativistic systems

Details Stationarity, soft ergodicity, and entropy in relativistic systems Stationarity, soft ergodicity, and entropy in relativistic systems

2009-02-27

arxiv.org/abs/0902.4785v2

Physics

Condensed Matter

Statistical Mechanics

4 pages

Scientific paper

Recent molecular dynamics simulations show that a dilute relativistic gas equilibrates to a Juettner velocity distribution if ensemble velocities are measured simultaneously in the observer frame. The analysis of relativistic Brownian motion processes, on the other hand, implies that stationary one-particle distributions can differ depending on the underlying time-parameterizations. Using molecular dynamics simulations, we demonstrate how this relativistic phenomenon can be understood within a deterministic model system. We show that, depending on the time-parameterization, one can distinguish different types of soft ergodicity on the level of the one-particle distributions. Our analysis further reveals a close connection between time parameters and entropy in special relativity. A combination of different time-parameterizations can potentially be useful in simulations that combine molecular dynamics algorithms with randomized particle creation, annihilation, or decay processes.

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