244 citations · 2.6k across the 85 of their papers we have counts for
5 papers · 1 filter
Chaotic Mixing in a Torus Map
Jean-Luc Thiffeault, Stephen Childress
The advection and diffusion of a passive scalar is investigated for a map of the 2-torus. The map is chaotic, and the limit of almost-uniform stretching is considered. This allows…
Continuum Equations for Stellar Dynamics
Edward A. Spiegel, Jean-Luc Thiffeault
The description of a stellar system as a continuous fluid represents a convenient first approximation to stellar dynamics, and its derivation from the kinetic theory is standard. T…
Finite Extension of Polymers in Turbulent Flow
Jean-Luc Thiffeault
The statistics of polymers advected by a turbulent flow are investigated. To limit the polymer lengths above to coil-stretch transition, a FENE-P type relaxation law is used. The t…
The Onset of Dissipation in the Kinematic Dynamo
Jean-Luc Thiffeault, Allen H. Boozer
The kinematic regime of the magnetic dynamo neglects the backreaction of the magnetic field on the flow. For small magnetic diffusivity, in the early stage of evolution, there is a…
Stretching and Curvature of Material Lines in Chaotic Flows
Jean-Luc Thiffeault
As a streak of dye is advected by a chaotic flow, it stretches and folds and becomes indistinguishable from a one-dimensional idealized material line. The variation along a materia…