Volume 87, Number 3, August 2009
|Number of page(s)||6|
|Published online||27 August 2009|
Stationarity, ergodicity, and entropy in relativistic systems
Departamento de Física Aplicada I, EUP, Universidad de Sevilla - Calle Virgen de África 7, 41011 Sevilla, Spain, EU
2 Rudolf Peierls Centre for Theoretical Physics, University of Oxford - 1 Keble Road, Oxford OX1 3NP, UK, EU
Corresponding author: email@example.com
Accepted: 24 July 2009
Recent molecular-dynamics simulations show that a dilute relativistic gas equilibrates to a Jüttner 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.
PACS: 02.70.Ns – Molecular dynamics and particle methods / 05.70.-a – Thermodynamics / 03.30.+p – Special relativity
© EPLA, 2009
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