The route of random process to ultraslow aging phenomena
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929509763121152 |
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| author | Li, Chunyan Liu, Haiwen Xie, X. C. |
| author_facet | Li, Chunyan Liu, Haiwen Xie, X. C. |
| contents | Logarithmic aging phenomena are prevalent in various systems, including electronic materials and biological structures. This study utilizes a generalized continuous time random walk (CTRW) framework to investigate the mechanisms behind the logarithmic aging phenomena. By incorporating non-Markovian jump processes with significant memory effects, we modify traditional diffusion models to exhibit logarithmic decay in both survival and return probabilities. In addition, we analyze the impact of aging on autocorrelation functions, illustrating how long-term memory behaviors affect the temporal evolution of physical properties. These results connect microscopic models to macroscopic manifestations in real-world systems, advancing the understanding of ultraslow dynamics in disordered systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_14422 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The route of random process to ultraslow aging phenomena Li, Chunyan Liu, Haiwen Xie, X. C. Statistical Mechanics Disordered Systems and Neural Networks Soft Condensed Matter Logarithmic aging phenomena are prevalent in various systems, including electronic materials and biological structures. This study utilizes a generalized continuous time random walk (CTRW) framework to investigate the mechanisms behind the logarithmic aging phenomena. By incorporating non-Markovian jump processes with significant memory effects, we modify traditional diffusion models to exhibit logarithmic decay in both survival and return probabilities. In addition, we analyze the impact of aging on autocorrelation functions, illustrating how long-term memory behaviors affect the temporal evolution of physical properties. These results connect microscopic models to macroscopic manifestations in real-world systems, advancing the understanding of ultraslow dynamics in disordered systems. |
| title | The route of random process to ultraslow aging phenomena |
| topic | Statistical Mechanics Disordered Systems and Neural Networks Soft Condensed Matter |
| url | https://arxiv.org/abs/2409.14422 |