Nonergodic property of the space-time coupled CTRW: Dependence on the long-tailed property and correlation

doi:10.1016/j.physa.2017.09.100

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	Nonergodic property of the space-time coupled CTRW: Dependence on the long-tailed property and correlation
	Liu, J ; Li, BH ; Chen, XS
刊名	PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
	2018
卷号	491 页码:995-1000
关键词	ANOMALOUS DIFFUSION DISORDERED MEDIA DISPERSION MODELS WALKS
ISSN号	0378-4371
DOI	10.1016/j.physa.2017.09.100
英文摘要	The space-time coupled continuous time random walk model is a stochastic framework of anomalous diffusion with many applications in physics, geology and biology. In this manuscript the time averaged mean squared displacement and nonergodic property of a space-time coupled continuous time random walk model is studied, which is a prototype of the coupled continuous time random walk presented and researched intensively with various methods. The results in the present manuscript show that the time averaged mean squared displacements increase linearly with lag time which means ergodicity breaking occurs, besides, we find that the diffusion coefficient is intrinsically random which shows both aging and enhancement, the analysis indicates that the either aging or enhancement phenomena are determined by the competition between the correlation exponent gamma and the waiting time's long-tailed index alpha. (C) 2017 Elsevier B.V. All rights reserved.
学科主题	Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/22973]
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.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 2.Beijing Technol & Business Univ, Sch Sci, Beijing 100048, Peoples R China
推荐引用方式 GB/T 7714	Liu, J,Li, BH,Chen, XS. Nonergodic property of the space-time coupled CTRW: Dependence on the long-tailed property and correlation[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS,2018,491:995-1000.
APA	Liu, J,Li, BH,&Chen, XS.(2018).Nonergodic property of the space-time coupled CTRW: Dependence on the long-tailed property and correlation.PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS,491,995-1000.
MLA	Liu, J,et al."Nonergodic property of the space-time coupled CTRW: Dependence on the long-tailed property and correlation".PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS 491(2018):995-1000.