Dynamical continuous time random Levy flights

doi:http://dx.doi.org/10.1140/epjb/e2016-60883-2

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	Dynamical continuous time random Levy flights
	Liu, J 1; Chen, XS
刊名	EUROPEAN PHYSICAL JOURNAL B
	2016
卷号	89 期号:3 页码:64
关键词	FOKKER-PLANCK EQUATIONS ANOMALOUS DIFFUSION STOCHASTIC-PROCESS DISORDERED MEDIA RANDOM-WALKS CONVERGENCE TRANSPORT MODELS FIELDS
DOI	http://dx.doi.org/10.1140/epjb/e2016-60883-2
英文摘要	The Levy flights' diffusive behavior is studied within the framework of the dynamical continuous time random walk (DCTRW) method, while the nonlinear friction is introduced in each step. Through the DCTRW method, Levy random walker in each step flies by obeying the Newton's Second Law while the nonlinear friction f(v) = -gamma 0v - gamma 2v(3) being considered instead of Stokes friction. It is shown that after introducing the nonlinear friction, the superdiffusive Levy flights converges, behaves localization phenomenon with long time limit, but for the Levy index mu = 2 case, it is still Brownian motion.
学科主题	Physics
语种	英语
资助机构	National Natural Science Foundation of China [11547231]
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/23109]
专题	理论物理研究所_理论物理所1978-2010年知识产出
作者单位	1.Beijing Technol & Business Univ, Sch Sci, Beijing 100048, Peoples R China 2.Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Liu, J,Chen, XS. Dynamical continuous time random Levy flights[J]. EUROPEAN PHYSICAL JOURNAL B,2016,89(3):64.
APA	Liu, J,&Chen, XS.(2016).Dynamical continuous time random Levy flights.EUROPEAN PHYSICAL JOURNAL B,89(3),64.
MLA	Liu, J,et al."Dynamical continuous time random Levy flights".EUROPEAN PHYSICAL JOURNAL B 89.3(2016):64.