Hamiltonian Dynamics and Structural States of Two-Dimensional Microswimmers
Soft Condensed Matter
2023-05-23 v2 Fluid Dynamics
Abstract
We show that a two-dimensional system of flocking microswimmers interacting hydrodynamically can be expressed using a Hamiltonian formalism. The Hamiltonian depends strictly on the angles between the particles and their swimming orientation, thereby restricting their available phase-space. Simulations of co-oriented microswimmers evolve into "escalators" - sharp lines at a particular tilt along which particles circulate. The conservation of the Hamiltonian and its symmetry germinate the self-assembly of the observed steady-state arrangements as confirmed by stability analysis.
Keywords
Cite
@article{arxiv.2303.03057,
title = {Hamiltonian Dynamics and Structural States of Two-Dimensional Microswimmers},
author = {Yuval Shoham and Naomi Oppenheimer},
journal= {arXiv preprint arXiv:2303.03057},
year = {2023}
}