Transient bi-fractional diffusion: space-time coupling inducing the coexistence of two fractional diffusions | |
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. | |
刊名 | EUROPEAN PHYSICAL JOURNAL B |
2017 | |
卷号 | 90期号:4页码:70 |
DOI | http://dx.doi.org/10.1140/epjb/e2017-80060-5 |
英文摘要 | Anomalous 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. |
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/311006/22080] |
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), 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,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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