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Liu, J; Li, BH; Chen, XS; 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.
Generalized Master Equation for Space-Time Coupled Continuous Time Random Walk
Source PublicationCHINESE PHYSICS LETTERS
Language英语
AbstractThe generalized master equation for the space-time coupled continuous time random walk is derived analytically, 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 omega(t) of a particle's waiting time.. follows a power law form for large t : omega(t) similar to t(-(1+alpha)), 0 < alpha < 1. The results indicate that the expressions of the generalized master equation are determined by the correlation exponent gamma and the long-tailed index alpha of the waiting time. Moreover, the diffusion results obtained from the generalized master equation are in accordance with the previous known results and the numerical simulation results.
2017
Volume34Issue:5Pages:50201
Subject AreaPhysics
DOIhttp://dx.doi.org/10.1088/0256-307X/34/5/050201
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]
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/22065
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,Li, BH,Chen, XS,et al. Generalized Master Equation for Space-Time Coupled Continuous Time Random Walk[J]. CHINESE PHYSICS LETTERS,2017,34(5):50201.
APA Liu, J,Li, BH,Chen, XS,Liu, J ,&Liu, J .(2017).Generalized Master Equation for Space-Time Coupled Continuous Time Random Walk.CHINESE PHYSICS LETTERS,34(5),50201.
MLA Liu, J,et al."Generalized Master Equation for Space-Time Coupled Continuous Time Random Walk".CHINESE PHYSICS LETTERS 34.5(2017):50201.
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