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Liu, J1; Chen, XS
Dynamical continuous time random Levy flights
Source PublicationEUROPEAN PHYSICAL JOURNAL B
Language英语
KeywordFOKKER-PLANCK EQUATIONS ANOMALOUS DIFFUSION STOCHASTIC-PROCESS DISORDERED MEDIA RANDOM-WALKS CONVERGENCE TRANSPORT MODELS FIELDS
AbstractThe 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.
2016
Volume89Issue:3Pages:64
Subject AreaPhysics
DOIhttp://dx.doi.org/10.1140/epjb/e2016-60883-2
Indexed BySCI
Funding OrganizationNational Natural Science Foundation of China [11547231]
Citation statistics
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/23109
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, State Key Lab Theoret Phys, Beijing 100190, Peoples R China
Recommended Citation
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.
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