Time irreversibility from symplectic non-squeezing
Statistical Mechanics
2018-01-17 v2 Mathematical Physics
math.MP
Symplectic Geometry
Classical Physics
Abstract
The issue of how time reversible microscopic dynamics gives rise to macroscopic irreversible processes has been a recurrent issue in Physics since the time of Boltzmann whose ideas shaped, and essentially resolved, such an apparent contradiction. Following Boltzmann's spirit and ideas, but employing Gibbs's approach, we advance the view that macroscopic irreversibility of Hamiltonian systems of many degrees of freedom can be also seen as a result of the symplectic non-squeezing theorem.
Cite
@article{arxiv.1710.04550,
title = {Time irreversibility from symplectic non-squeezing},
author = {Nikolaos Kalogeropoulos},
journal= {arXiv preprint arXiv:1710.04550},
year = {2018}
}
Comments
20 pages. No figures. Standard LaTeX2e. Version 2: clarification of a point and correction of typos. To be published in Physica A