Coarse-graining and symplectic non-squeezing
Statistical Mechanics
2022-01-26 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We address aspects of coarse-graining in classical Statistical Physics from the viewpoint of the symplectic non-squeezing theorem. We make some comments regarding the implications of the symplectic non-squeezing theorem for the BBGKY hierarchy. We also see the cubic cells appearing in coarse-graining as a direct consequence of the uniqueness of Hofer's metric on the group of Hamiltonian diffeomorphisms of the phase space.
Cite
@article{arxiv.2106.14154,
title = {Coarse-graining and symplectic non-squeezing},
author = {Nikolaos Kalogeropoulos},
journal= {arXiv preprint arXiv:2106.14154},
year = {2022}
}
Comments
22 pages, No figures, Standard LaTeX2e