Asymmetric spreading in highly advective, disordered environments

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dc.creatorCarpenter, John H.
dc.creatorDahmen, Karin A.
dc.date2005-01-22
dc.date.accessioned2026-07-07T05:54:01Z
dc.date.available2026-07-07T05:54:01Z
dc.descriptionSpreading of bacteria in a highly advective, disordered environment is examined. Predictions of super-diffusive spreading for a simplified reaction-diffusion equation are tested. Concentration profiles display anomalous growth and super-diffusive spreading. A perturbation analysis yields a crossover time between diffusive and super-diffusive behavior. The time's dependence on the convection velocity and disorder is tested. Like the simplified equation, the full linear reaction-diffusion equation displays super-diffusive spreading perpendicular to the convection. However, for mean positive growth rates the full nonlinear reaction-diffusion equation produces symmetric spreading with a Fisher wavefront, whereas net negative growth rates cause an asymmetry, with a slower wavefront velocity perpendicular to the convection.
dc.description4 pages, 4 figures (with 11 EPS components) submitted to PRL
dc.identifierhttps://arxiv.org/abs/physics/0501123
dc.identifierhttp://arxiv.org/abs/physics/0501123
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/86833
dc.subjectBiological Physics
dc.subjectDisordered Systems and Neural Networks
dc.subjectPopulations and Evolution
dc.titleAsymmetric spreading in highly advective, disordered environments
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