Heat Distribution of Relativistic Brownian Motion
arXiv:2105.11388 · doi:10.1140/epjb/s10051-021-00214-8
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.
5 pages, 4 figures
References in corpus (10)
- Relativistic Brownian Motion
- Work and heat probability distribution of an optically driven Brownian particle: Theory and experiments
- Heavy Quark Diffusion with Relativistic Langevin Dynamics in the Quark-Gluon Fluid
- Thermal equilibrium and statistical thermometers in special relativity
- Fluctuation theorems for harmonic oscillators
- Probability density functions of work and heat near the stochastic resonance of a colloidal particle
- Stochastic thermodynamics of Langevin systems under time-delayed feedback control: II. Nonequilibrium steady-state fluctuations
- Heat fluctuations and initial ensembles
- Heat distribution function for motion in a general potential at low temperature
- Heat fluctuations in equilibrium