A Huygens principle for diffusion and anomalous diffusion in spatially extended systems

Gottwald G.A.; Melbourne I.

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A Huygens principle for diffusion and anomalous diffusion in spatially extended systems

机译：A Huygens principle for diffusion and anomalous diffusion in spatially extended systems

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摘要

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 establish the existence of a nonlinear Huygens principle for weakly chaotic systems in isotropic media whereby the dynamics behaves diffusively in even space dimension and exhibits superdiffusive behavior in odd space dimensions.

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《Proceedings of the National Academy of Sciences of the United States of America》 |2013年第21期|8411-8416|共6页
作者
Gottwald G.A.; Melbourne I.;
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作者单位

School of Mathematics and Statistics, University of Sydney, Sydney, 2006 NSW, Australia;

Department of Mathematics, University of Surrey, Guildford GU2 7XH, United Kingdom;

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收录信息美国《科学引文索引》(SCI);美国《生物学医学文摘》(MEDLINE);美国《化学文摘》(CA);
原文格式 PDF
正文语种英语
中图分类自然科学总论;
关键词
Dynamical systems; Lattice models; Pattern formation; Symmetry;

A Huygens principle for diffusion and anomalous diffusion in spatially extended systems

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