dorsal/arxiv
View SchemaAsymmetric spreading in highly advective, disordered environments
| Authors | John H. Carpenter, Karin A. Dahmen |
|---|---|
| Categories | |
| ArXiv ID | physics/0501123 |
| URL | https://arxiv.org/abs/physics/0501123 |
Abstract
Spreading 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.
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"date_created": "2026-03-02T18:00:56.450000Z",
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"abstract": "Spreading of bacteria in a highly advective, disordered environment is\nexamined. Predictions of super-diffusive spreading for a simplified\nreaction-diffusion equation are tested. Concentration profiles display\nanomalous growth and super-diffusive spreading. A perturbation analysis yields\na crossover time between diffusive and super-diffusive behavior. The time\u0027s\ndependence on the convection velocity and disorder is tested. Like the\nsimplified equation, the full linear reaction-diffusion equation displays\nsuper-diffusive spreading perpendicular to the convection. However, for mean\npositive growth rates the full nonlinear reaction-diffusion equation produces\nsymmetric spreading with a Fisher wavefront, whereas net negative growth rates\ncause an asymmetry, with a slower wavefront velocity perpendicular to the\nconvection.",
"arxiv_id": "physics/0501123",
"authors": [
"John H. Carpenter",
"Karin A. Dahmen"
],
"categories": [
"physics.bio-ph",
"cond-mat.dis-nn",
"q-bio.PE"
],
"title": "Asymmetric spreading in highly advective, disordered environments",
"url": "https://arxiv.org/abs/physics/0501123"
},
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