title: Temporal chaos versus spatial mixing in reaction-advection-diffusion systems.
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 Pe clet numbers of different components, is demonstrated to work accurately for time-dependent flows and different Pe clet numbers.
authors.affiliation: Department of Physics, University of Potsdam, Am Neuen Palais 10, PF 601553, D-14415, Potsdam, Germany.
authors.forename: Arthur V
authors.initials: AV
authors.lastname: Straube
authors.forename: Markus
authors.initials: M
authors.lastname: Abel
authors.forename: Arkady
authors.initials: A
authors.lastname: Pikovsky