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题名: Generalized Master Equation for Space-Time Coupled Continuous Time Random Walk
作者: Liu, J ;  Li, BH ;  Chen, XS
刊名: CHINESE PHYSICS LETTERS
出版日期: 2017
卷号: 34, 期号:5, 页码:50201
学科分类: Physics
DOI: http://dx.doi.org/10.1088/0256-307X/34/5/050201
通讯作者: 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.
文章类型: Article
英文摘要: The 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.
类目[WOS]: Physics, Multidisciplinary
关键词[WOS]: ANOMALOUS DIFFUSION ;  LEVY WALKS ;  DYNAMICS ;  MODELS
项目资助者: National Natural Science Foundation of China [11605003, 11547231]
语种: 英语
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/22065
Appears in Collections:理论物理所2017年知识产出_期刊论文

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Recommended Citation:
Liu, J,Li, BH,Chen, XS. Generalized Master Equation for Space-Time Coupled Continuous Time Random Walk[J]. CHINESE PHYSICS LETTERS,2017,34(5):50201.
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