The Strange Eigenmode in Lagrangian Coordinates
arXiv:nlin/0403027 · doi:10.1063/1.1759431
Abstract
For a distribution advected by a simple chaotic map with diffusion, the "strange eigenmode" is investigated from the Lagrangian (material) viewpoint and compared to its Eulerian (spatial) counterpart. The eigenmode embodies the balance between diffusion and exponential stretching by a chaotic flow. It is not strictly an eigenmode in Lagrangian coordinates, because its spectrum is rescaled exponentially rapidly.
15 pages, 6 figures. RevTeX4 format with psfrag
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- Open-flow mixing: Experimental evidence for strange eigenmodes
- Scalar Decay in Chaotic Mixing
- Open-flow mixing and transfer operators
- Enhanced Dissipation via time-modulated velocity fields