ITP OpenIR  > 理论物理所2017年知识产出
Generalized Master Equation for Space-Time Coupled Continuous Time Random Walk
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.
2017
发表期刊CHINESE PHYSICS LETTERS
卷号34期号:5页码:50201
文章类型Article
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.
学科领域Physics
资助者National 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]
DOIhttp://dx.doi.org/10.1088/0256-307X/34/5/050201
关键词[WOS]ANOMALOUS DIFFUSION ; LEVY WALKS ; DYNAMICS ; MODELS
语种英语
资助者National 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]
WOS类目Physics, Multidisciplinary
引用统计
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/22065
专题理论物理所2017年知识产出
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.
推荐引用方式
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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