Irreversibility and self-organisation in hydrodynamic echo experiments

Details Irreversibility and self-organisation in hydrodynamic echo experiments Irreversibility and self-organisation in hydrodynamic echo experiments

2008-11-17

arxiv.org/abs/0811.2682v2

Physics

Condensed Matter

Statistical Mechanics

Corrected typos

Scientific paper

We discuss the reversible-irreversible transition in low-Reynolds hydrodynamic systems driven by external cycling actuation. We introduce a set of models with no auto-organisation, and show that a sharp crossover is obtained between a Lyapunov regime in which any noise source, such as thermal noise, is amplified exponentially, and a diffusive regime where this no longer holds. In the latter regime, groups of particles are seen to move cooperatively, yet no spatial organization occurs.

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