Stochastic equations for thermodynamics
Statistical Mechanics
2015-06-05 v5 Mathematical Physics
math.MP
Chemical Physics
Abstract
The applicability of stochastic differential equations to thermodynamics is considered and a new form, different from the classical Ito and Stratonovich forms, is introduced. It is shown that the new presentation is more appropriate for the description of thermodynamic fluctuations. The range of validity of the Boltzmann-Einstein principle is also discussed and a generalized alternative is proposed. Both expressions coincide in the small fluctuation limit, providing a normal distribution density.
Cite
@article{arxiv.1503.09171,
title = {Stochastic equations for thermodynamics},
author = {R. Tsekov},
journal= {arXiv preprint arXiv:1503.09171},
year = {2015}
}