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Temporal chaos versus spatial mixing in reaction-advection-diffusion systems

Authors
  • Straube, Arthur V.
  • Abel, Markus
  • Pikovsky, Arkady
Type
Published Article
Publication Date
Aug 31, 2006
Submission Date
Apr 30, 2004
Identifiers
DOI: 10.1103/PhysRevLett.93.174501
arXiv ID: nlin/0404057
Source
arXiv
License
Unknown
External links

Abstract

We develop a theory describing the transition to a spatially homogeneous regime in a mixing flow with a chaotic in time reaction. The transverse Lyapunov exponent governing the stability of the homogeneous state can be represented as a combination of Lyapunov exponents for spatial mixing and temporal chaos. This representation, being exact for time-independent flows and equal P\'eclet numbers of different components, is demonstrated to work accurately for time-dependent flows and different P\'eclet numbers.

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