Patterns of synchronization in the hydrodynamic coupling of active colloids
Statistical Mechanics
2013-05-30 v2 Soft Condensed Matter
Mathematical Physics
math.MP
Abstract
A system of active colloidal particles driven by harmonic potentials to oscillate about the vertices of a regular polygon, with hydrodynamic coupling between all particles, is described by a piece-wise linear model which exhibits various patterns of synchronization. Analytical solutions are obtained for this class of dynamical systems. Depending only on the number of particles, the synchronization occurs into states in which nearest neighbors oscillate either in-phase, or anti-phase, or in phase-locked (time-shifted) trajectories.
Keywords
Cite
@article{arxiv.1110.1524,
title = {Patterns of synchronization in the hydrodynamic coupling of active colloids},
author = {Giovanni M. Cicuta and Enrico Onofri and Marco Cosentino Lagomarsino and Pietro Cicuta},
journal= {arXiv preprint arXiv:1110.1524},
year = {2013}
}
Comments
12 pages