Stationarity, soft ergodicity, and entropy in relativistic systems

Abstract

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.

4 pages

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Cited by in corpus (8)

• On the Manifestly Covariant Juttner Distribution and Equipartition Theorem
• Single to Double Hump Transition in the Equilibrium Distribution Function of Relativistic Particles
• Relativistic Equilibrium Distribution by Relative Entropy Maximization
• Time parameterization and stationary distributions in a relativistic gas
• Relativistic Klein-Gordon charge effects by information-theoretic measures
• Thermodynamics of a morphological transition in a relativistic gas
• The Effect of Spacetime Curvature on Statistical Distributions
• Thermal equilibrium in Einstein's elevator