Chaotic mixing in a torus map

DOI10.1063/1.1568833zbMath1080.37605arXivnlin/0211036OpenAlexW2002875038WikidataQ52015879 ScholiaQ52015879MaRDI QIDQ5706363

Stephen Childress, Jean-Luc Thiffeault

Publication date: 7 November 2005

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0211036

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Dynamical systems approach to turbulence (76F20) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

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Stirring up trouble: multi-scale mixing measures for steady scalar sources ⋮ Open-flow mixing: Experimental evidence for strange eigenmodes ⋮ Scalar Decay in Chaotic Mixing ⋮ Optimal mixing in three-dimensional plane Poiseuille flow at high Péclet number ⋮ Using Bernoulli maps to accelerate mixing of a random walk on the torus ⋮ Dissipation enhancement by mixing ⋮ The strange eigenmode in Lagrangian coordinates ⋮ What controls the decay of passive scalars in smooth flows? ⋮ A numerical study of passive scalar evolution in peripheral regions ⋮ A multiscale measure for mixing ⋮ Eigenfunctions of the Perron–Frobenius operator and the finite-time Lyapunov exponents in uniformly hyperbolic area-preserving maps

Cites Work

• Advection-diffusion in Lagrangian coordinates
• Small-scale variation of convected quantities like temperature in turbulent fluid Part 1. General discussion and the case of small conductivity
• The role of chaotic orbits in the determination of power spectra of passive scalars
• Lattice models of advection-diffusion
• Stirring by chaotic advection
• Mixing of a passive scalar in magnetically forced two-dimensional turbulence