Open-flow mixing and transfer operators
Fluid Dynamics
2022-05-05 v2 Dynamical Systems
Chaotic Dynamics
Abstract
We study finite-time mixing in time-periodic open flow systems. We describe the transport of densities in terms of a transfer operator, which is represented by the transition matrix of a finite-state Markov chain. The transport processes in the open system are organized by the chaotic saddle and its stable and unstable manifolds. We extract these structures directly from leading eigenvectors of the transition matrix. We use different measures to quantify the degree of mixing and show that they give consistent results in parameter studies of two model systems.
Cite
@article{arxiv.2112.11497,
title = {Open-flow mixing and transfer operators},
author = {Anna Klünker and Kathrin Padberg-Gehle and Jean-Luc Thiffeault},
journal= {arXiv preprint arXiv:2112.11497},
year = {2022}
}
Comments
22 pages, 39 figures. LaTeX with custom Royal Society class. To appear in Phil. Trans. Roy. Soc. A