Coexistence of ergodicity and nonergodicity in the aging two-state random walks
文献类型：期刊论文
| 作者 | Liu, Jian1,2; Jin, Yuliang2,5,6 ; Bao, Jing-Dong; Chen, Xiaosong4
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| 刊名 | SOFT MATTER
 |
| 出版日期 | 2022 |
| 卷号 | 18期号:45页码:8687-8699 |
| ISSN号 | 1744-683X |
| 关键词 | ANOMALOUS DIFFUSION LEVY TRANSPORT |
| DOI | 10.1039/d2sm01093c |
| 英文摘要 | The two-state stochastic phenomenon is observed in various systems and is attracting more interest, and it can be described by the two-state random walk (TSRW) model. The TSRW model is a typical two-state renewal process alternating between the continuous-time random walk state and the Levy walk state, in both of which the sojourn time distributions follow a power law. In this paper, by discussing the statistical properties and calculating the ensemble averaged and time averaged mean squared displacement, the ergodic property and the ultimate diffusive behavior of the aging TSRW is studied. Results reveal that because of the two-state intermittent feature, ergodicity and nonergodicity can coexist in the aging TSRW, which behave as the time scalings of the time averages and ensemble averages not being identically equal. In addition, we find that the unique state occupation mechanism caused by the diverging mean of the sojourn times of one state, determines the aging TSRW's ultimate diffusive behavior at extremely large timescales, i.e., instead of the term with the larger diffusion exponent, the diffusion is surprisingly characterized by the term with the smaller one, which is distinctly different from previous conclusions and known results. At last, we note that the Levy walk with rests model which also displays aging and ergodicity breaking, can be generalized by the TSRW model. |
| 学科主题 | Chemistry ; Materials Science ; Physics ; Polymer Science |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/27698]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 作者单位 | 1.Beijing Technol & Business Univ, Dept Phys, Beijing 100048, Peoples R China 2.Beijing Technol & Business Univ, Inst Syst Sci, Beijing 100048, Peoples R China 3.Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China 4.Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China 5.Beijing Normal Univ, Sch Syst Sci, Beijing 100875, Peoples R China 6.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China 7.Univ Chinese Acad Sci, Wenzhou Inst, Wenzhou 325000, Zhejiang, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, Jian,Jin, Yuliang,Bao, Jing-Dong,et al. Coexistence of ergodicity and nonergodicity in the aging two-state random walks[J]. SOFT MATTER,2022,18(45):8687-8699. |
| APA | Liu, Jian,Jin, Yuliang,Bao, Jing-Dong,&Chen, Xiaosong.(2022).Coexistence of ergodicity and nonergodicity in the aging two-state random walks.SOFT MATTER,18(45),8687-8699. |
| MLA | Liu, Jian,et al."Coexistence of ergodicity and nonergodicity in the aging two-state random walks".SOFT MATTER 18.45(2022):8687-8699. |
入库方式： OAI收割
来源：理论物理研究所
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