Generalized Master Equation for Space-Time Coupled Continuous Time Random Walk

doi:http://dx.doi.org/10.1088/0256-307X/34/5/050201

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	Generalized Master Equation for Space-Time Coupled Continuous Time Random Walk
	Liu, J (reprint author), Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China.; Liu, J (reprint author), Beijing Technol & Business Univ, Sch Sci, Beijing 100048, Peoples R China.; Liu, J; Li, BH; Chen, XS
刊名	CHINESE PHYSICS LETTERS
	2017
卷号	34 期号:5 页码:50201
DOI	http://dx.doi.org/10.1088/0256-307X/34/5/050201
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.
学科主题	Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/22065]
专题	理论物理研究所_理论物理所1978-2010年知识产出
通讯作者	Liu, J (reprint author), Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China.; Liu, J (reprint author), Beijing Technol & Business Univ, Sch Sci, Beijing 100048, Peoples R China.
推荐引用方式 GB/T 7714	Liu, J ,Liu, J ,Liu, J,et al. Generalized Master Equation for Space-Time Coupled Continuous Time Random Walk[J]. CHINESE PHYSICS LETTERS,2017,34(5):50201.
APA	Liu, J ,Liu, J ,Liu, J,Li, BH,&Chen, XS.(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.