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Passive fields and particles in chaotic flows

2003/03/04 by Bruno Eckhardt, Erwan Hascoët, Eckhardt, Bruno +4
Computer Science · Physics and Astronomy · #Astro and Planetary Science #Chaotic Dynamics (nlin.CD) #Computational Physics and Python Applications #FOS: Physical sciences #Quantum chaos and dynamical systems #nlin.CD

paper · pdf · doi:10.48550/arxiv.nlin/0303004

10 pages, 7 figures, conference proceeding

arxiv created 2003/03/04 · openalex publication_date 2003/03/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Two examples for the interplay between chaotic dynamics and stochastic forces within hydrodynamical systems are considered. The first case concerns the relaxation to equilibrium of a concentration field subject to both chaotic advection and molecular diffusion. The concentration field develops filamentary structures and the decay rate depends non-monotonically on the diffusion strength. The second example concerns polymers, modelled as particles with an internal degree of freedom, in a chaotic flow. The length distribution of the polymers turns out to follow a power law with an exponent that depends on the difference between Lyapunov exponent and internal relaxation rate.

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