2021
DOI: 10.48550/arxiv.2105.11388
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Heat Distribution of Relativistic Brownian Motion

Pedro V. Paraguassú,
Welles A. M. Morgado

Abstract: Understanding the statistical behavior of the heat in stochastic systems gives us insight about the thermodynamics of such systems. Using the recently proposed Relativistic Stochastic Thermodynamics, we investigate the statistics of the heat of a Relativistic Ornstein-Uhlenbeck particle, comparing with the classical cases. The results are exact through numerical integration of the Fokker-Planck of the joint distribution, and are validated by numerical simulations.

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“…In Dirac materials the strong spin-orbit coupling leads to modifications of the Boltzmann transport equations that accounts for additional contributions from the spin current [56,57]. In the context of classical stochastic thermodynamics, it has been shown that the restrictions imposed by the light cone lead to modified behavior for heat [58,59]. The same has been shown to be true for the work distribution in relativistic quantum systems [60].…”
Section: Introductionmentioning
confidence: 99%
“…In Dirac materials the strong spin-orbit coupling leads to modifications of the Boltzmann transport equations that accounts for additional contributions from the spin current [56,57]. In the context of classical stochastic thermodynamics, it has been shown that the restrictions imposed by the light cone lead to modified behavior for heat [58,59]. The same has been shown to be true for the work distribution in relativistic quantum systems [60].…”
Section: Introductionmentioning
confidence: 99%