Irreversibility and self-organisation in hydrodynamic echo experiments

Gustavo During; Denis Bartolo; Jorge Kurchan

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arXiv · 0811.2682

Irreversibility and self-organisation in hydrodynamic echo experiments

Gustavo During·Denis Bartolo·Jorge Kurchan

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Abstract

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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Gustavo During, Denis Bartolo, Jorge Kurchan. 2008-12-11. Irreversibility and self-organisation in hydrodynamic echo experiments. https://arxiv.org/abs/0811.2682

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