Probability distribution of classical observables
Statistical Mechanics
2023-10-13 v2
Abstract
In this work, I derive the time-dependent probability density function of classical observables using the Hamiltonian mechanics approach, extending the notion of fluctuation theorems for any observables. In particular, the time-dependent probability density function of the thermodynamic work evolving in the switching time is solved as a special case. From such a relation, I prove Jarzynski's equality and Crook's fluctuation theorem. The particular case of a Gaussian distribution for slowly-varying processes is derived as well at the end.
Cite
@article{arxiv.2310.05747,
title = {Probability distribution of classical observables},
author = {Pierre Nazé},
journal= {arXiv preprint arXiv:2310.05747},
year = {2023}
}
Comments
No figures, 4 pages