Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-10-07
Physics
Condensed Matter
Statistical Mechanics
12 pages
Scientific paper
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.
Cicuta Giovanni M.
Cicuta Pietro
Lagomarsino Marco Cosentino
Onofri Enrico
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