Irreversibility from staircases in symplectic embeddings
Statistical Mechanics
2018-10-17 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We present an argument whose goal is to trace the origin of the macroscopically irreversible behavior of Hamitonian systems of many degrees of freedom. We use recent flexibility and rigidity results of symplectic embeddings, quantified via the (stabilized) Fibonacci and Pell staircases, to encode the underlying breadth of the possible initial conditions, which alongside the multitude of degrees of freeedom of the underlying system give rise to time-irreversibility.
Keywords
Cite
@article{arxiv.1806.11305,
title = {Irreversibility from staircases in symplectic embeddings},
author = {Anthony J. Creaco and Nikolaos Kalogeropoulos},
journal= {arXiv preprint arXiv:1806.11305},
year = {2018}
}
Comments
27 pages. No figures. LaTeX2e. This version: two additional references. Accepted for publication by Physica A