On Geometrical Couplings of Dissipation and Curl Forces
Mathematical Physics
2021-01-29 v1 Differential Geometry
math.MP
Abstract
In this paper, we present several geometric ways to incorporate gyroscopic and dissipative forces to curl forces. We first present a proper metriplectic geometry. Then, using the Herglotz principle and generalized Euler-Lagrange equation, we propose a formulation of dissipative radial curl forces. Finally, we extend our result to azimuthal curl force using Galley's method, which leads to a natural formulation for Lagrangian and Hamiltonian dynamics of generic non-conservative systems.
Keywords
Cite
@article{arxiv.2101.11884,
title = {On Geometrical Couplings of Dissipation and Curl Forces},
author = {Oğul Esen and Partha Guha and Hasan Gümral},
journal= {arXiv preprint arXiv:2101.11884},
year = {2021}
}
Comments
Dedicated to Sir Michael Berry on his 80th birthday with great respect and admiration