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Liu, J; Zhu, YH; He, PS; Chen, XS; Bao, JD; Liu, J (reprint author), Beijing Technol & Business Univ, Sch Sci, Beijing 100048, Peoples R China.; Liu, J (reprint author), Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China.
Transient bi-fractional diffusion: space-time coupling inducing the coexistence of two fractional diffusions
Source PublicationEUROPEAN PHYSICAL JOURNAL B
Language英语
AbstractAnomalous diffusion is researched within the framework of the coupled continuous time random walk model, in which the space-time coupling is considered through the correlated function g(t) similar to t(gamma), 0 <= gamma < 2, and the probability density function.(t) of a particle's transition time t follows a power law for large t: omega(t) similar to t(-(1+alpha)), 1 < alpha < 2. The bi-fractional generalized master equation is derived analytically which can be applied to describe the transient bi-fractional diffusion phenomenon which is induced by the space-time coupling and the asymptotic behavior of omega(t). Numerical results show that for the transient bi-fractional diffusion, there is a transition from one fractional diffusion to another one in the diffusive process.
2017
Volume90Issue:4Pages:70
Subject AreaPhysics
DOIhttp://dx.doi.org/10.1140/epjb/e2017-80060-5
Funding OrganizationNational Natural Science Foundation of China [11605003, 11547231] ; National Natural Science Foundation of China [11605003, 11547231] ; National Natural Science Foundation of China [11605003, 11547231] ; National Natural Science Foundation of China [11605003, 11547231]
Citation statistics
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/22080
Collection理论物理所科研产出_SCI论文
Corresponding AuthorLiu, J (reprint author), Beijing Technol & Business Univ, Sch Sci, Beijing 100048, Peoples R China.; Liu, J (reprint author), Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Liu, J,Zhu, YH,He, PS,et al. Transient bi-fractional diffusion: space-time coupling inducing the coexistence of two fractional diffusions[J]. EUROPEAN PHYSICAL JOURNAL B,2017,90(4):70.
APA Liu, J.,Zhu, YH.,He, PS.,Chen, XS.,Bao, JD.,...&Liu, J .(2017).Transient bi-fractional diffusion: space-time coupling inducing the coexistence of two fractional diffusions.EUROPEAN PHYSICAL JOURNAL B,90(4),70.
MLA Liu, J,et al."Transient bi-fractional diffusion: space-time coupling inducing the coexistence of two fractional diffusions".EUROPEAN PHYSICAL JOURNAL B 90.4(2017):70.
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