Benzi, RobertoNelson, David2012-02-132009Benzi, Roberto and David R. Nelson. 2009. Fisher equation with turbulence in one dimension. Physica D: Nonlinear Phenomena 238(19): 2003–2015.0167-2789http://nrs.harvard.edu/urn-3:HUL.InstRepos:8160728As an example of life at high Reynolds number, we investigate the dynamics of the Fisher equation for the spreading of micro-organisms in one dimension subject to both turbulent convection and diffusion. We show that for strong enough turbulence, bacteria, for example, track, in a quasilocalized fashion (with remarkably long persistence times), sinks in the turbulent field. An important consequence is a large reduction in the carrying capacity of the fluid medium. We analytically determine the regimes where this quasi-localized behavior occurs and test our predictions by numerical simulations.en-USpopulation dynamicsturbulencelocalizationpopulations and evolutionstatistical mechanicschaotic dynamicsJournal Article2012-02-1310.1016/j.physd.2009.07.015