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Liu, J; Li, BH; Chen, XS
Nonergodic property of the space-time coupled CTRW: Dependence on the long-tailed property and correlation
Source PublicationPHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Language英语
KeywordANOMALOUS DIFFUSION DISORDERED MEDIA DISPERSION MODELS WALKS
AbstractThe 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.
2018
ISSN0378-4371
Volume491Pages:995-1000
Subject AreaPhysics
MOST Discipline CataloguePhysics, Multidisciplinary
DOI10.1016/j.physa.2017.09.100
Indexed BySCIE
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/22973
Collection理论物理所科研产出_SCI论文
Affiliation1.Beijing Technol & Business Univ, Sch Sci, Beijing 100048, Peoples R China
2.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China
Recommended Citation
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.
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