Self-similar motion for modeling anomalous diffusion and nonextensive statistical distributions

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	Self-similar motion for modeling anomalous diffusion and nonextensive statistical distributions
	Huang, Z. F. ; Su, G. Z. ; El Kaabouchi, A. ; Wang, Q. P. A. ; Chen, J. C. ; Chen JC(陈金灿)
刊名	http://dx.doi.org/10.1088/1742-5468/2010/05/L05001
	2010-05
关键词	FRACTIONAL DYNAMICS APPROACH NON-LINEAR TRANSFORMATIONS RELAXATION SYSTEMS UNIVERSALITY
英文摘要	National Natural Science Foundation [10875100]; People's Republic of China; Pays de la Loire of France [2007-6088]; We introduce a new universality class of one-dimensional iteration models giving rise to self-similar motion. The curves of the mean square displacement versus time show that the motion is a kind of anomalous diffusion with the diffusion coefficient depending on the self-similar rates. Moreover, it is found that the distribution of the displacement agrees to a reliable precision with the q-Gaussian type distribution in some cases and the bimodal distribution in some other cases. The results show that the self-similar motion may be used to investigate anomalous diffusion and nonextensive statistical distributions.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/70339]
专题	物理技术－已发表论文
推荐引用方式 GB/T 7714	Huang, Z. F.,Su, G. Z.,El Kaabouchi, A.,et al. Self-similar motion for modeling anomalous diffusion and nonextensive statistical distributions[J]. http://dx.doi.org/10.1088/1742-5468/2010/05/L05001,2010.
APA	Huang, Z. F.,Su, G. Z.,El Kaabouchi, A.,Wang, Q. P. A.,Chen, J. C.,&陈金灿.(2010).Self-similar motion for modeling anomalous diffusion and nonextensive statistical distributions.http://dx.doi.org/10.1088/1742-5468/2010/05/L05001.
MLA	Huang, Z. F.,et al."Self-similar motion for modeling anomalous diffusion and nonextensive statistical distributions".http://dx.doi.org/10.1088/1742-5468/2010/05/L05001 (2010).