高度平流、无序环境中的非对称传播
Asymmetric spreading in highly advective, disordered environments
摘要：
研究了细菌在高度平流、无序环境中的传播。对简化的反应扩散方程进行了超扩散扩散预测。浓度分布显示异常增长和超扩散扩散。扰动分析产生扩散和超扩散行为之间的交叉时间。时间的对流速度和无序的依赖性进行了测试。与简化方程一样，完全线性反应扩散方程也表现出垂直于对流方向的超扩散扩散。然而，对于平均正增长率的完整的非线性反应扩散方程产生对称扩散与Fisher波前，而净负增长率导致不对称，与垂直于对流较慢的波前速度。
英文摘要：
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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