A Huygens principle for diffusion and anomalous diffusion in spatially extended systems
نویسندگان
چکیده
منابع مشابه
Diffusion and anomalous diffusion in spatially extended systems: A Huygens principle for superdiffusion
We present a universal view on diffusive behaviour in chaotic spatially extended systems for anisotropic and isotropic media. For anisotropic systems, strong chaos leads to diffusive behaviour (Brownian motion with drift) and weak chaos leads to superdiffusive behaviour (Lévy processes with drift). For isotropic systems, the drift term vanishes and strong chaos again leads to Brownian motion. W...
متن کاملA 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 strong chaos again leads to Brownian motion. We e...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 2013
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.1217926110