Generating functions for irreversible Hamiltonian systems
Mathematical Physics
2024-04-09 v2 math.MP
Abstract
The definition of conservative-irreversible functions is extended to smooth manifolds. The local representation of these functions is studied and reveals that not each conservative-irreversible function is given by the weighted product of almost Poisson brackets. The biquadratic functions given by conservative-irreversible functions are studied and reveal a possibility for an algebraic framework on arbitrary and in particular complex algebras.
Cite
@article{arxiv.2404.04092,
title = {Generating functions for irreversible Hamiltonian systems},
author = {Dan Goreac and Jonas Kirchhoff and Bernhard Maschke},
journal= {arXiv preprint arXiv:2404.04092},
year = {2024}
}
Comments
27 pages