A Huygens principle for diffusion and anomalous diffusion in spatially extended systems
A Huygens principle for diffusion and anomalous diffusion in spatially extended systems
We present a universal view on diffusive behavior in chaotic spatially extended systems for anisotropic and isotropic media. For anisotropic systems, strong chaos leads to diffusive behavior (Brownian motion with drift) and weak chaos leads to superdiffusive behavior (Lévy processes with drift). For isotropic systems, the drift term vanishes and …