Heat Distribution of Relativistic Brownian Motion
Pedro V. Paraguass\'u, Welles A.M. Morgado
TL;DR
This paper explores the heat distribution in relativistic stochastic systems, specifically analyzing a relativistic Ornstein-Uhlenbeck particle, providing exact results and validating them through simulations.
Contribution
It introduces a detailed analysis of heat statistics in relativistic stochastic thermodynamics, extending classical models to relativistic regimes.
Findings
Exact heat distribution results obtained via numerical integration.
Validation of theoretical results through numerical simulations.
Comparison between relativistic and classical heat statistics.
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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