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

The evolutionary dynamics first conceived by Darwin and Wallace, referring to as Darwinian dynamics in the present paper, has been found to be universally valid in biology. The statistical mechanics and thermodynamics, while enormously successful in physics, have been in an awkward situation of wanting a consistent dynamical understanding. Here we present from a formal point of view an explorat...

Statistical methods are used in statistics physics, which is a momentous interdiscipline, to provide a conceptual link between the 'macroscopic world' and the 'microscopic world'. When studying gases, we can examine the statistical distribution of particle velocities and energies by using Maxwell-Boltzmann statistics, which can be solve as a problem of combination, to gain a comprehensive under...

String theory usually represents quantum black holes as systems whose statistical mechanics reproduces Hawking’s thermodynamics in a very satisfactory way. Complicated brane theoretical models are worked out, as quantum versions of Supergravity solutions. These models are then assumed to be in thermal equilibrium: this is a little cheating, because one is looking for an explanation of the seemi...

Brownian movement has a history of more than two centuries. Studies that appeared in the scientific archival literature in the period until 1920 are listed by Einstein [1]. Articles that were written until 1970 are presented in Refs. [2] and [3]. Three-dimensional Brownian motors are discussed in [4], and Brownian movement of E. coli in [5]. All these studies and articles are based on a variety...