Disorder-Induced Anomalous Mobility Enhancement in Confined Geometries
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914700756779008 |
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| author | Shafir, Dan Burov, Stanislav |
| author_facet | Shafir, Dan Burov, Stanislav |
| contents | Strong, scale-free disorder disrupts typical transport properties like the Stokes-Einstein relation and linear response, leading to anomalous, non-diffusive motion observed in amorphous materials, glasses, living cells, and other systems. Our study reveals that the combination of scale-free quenched disorder and geometrical constraints induces unconventional single particle mobility behavior. Specifically, in a $2$-dimensional channel with width $w$, under external drive, tighter geometrical constraints (smaller $w$) enhance mobility. We derive an explicit form of the response to an external force by utilizing the double-subordination approach for the quenched trap model. The observed mobility enhancement occurs in the low-temperature regime where the distribution of localization times is scale-free. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_01665 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Disorder-Induced Anomalous Mobility Enhancement in Confined Geometries Shafir, Dan Burov, Stanislav Statistical Mechanics Disordered Systems and Neural Networks Strong, scale-free disorder disrupts typical transport properties like the Stokes-Einstein relation and linear response, leading to anomalous, non-diffusive motion observed in amorphous materials, glasses, living cells, and other systems. Our study reveals that the combination of scale-free quenched disorder and geometrical constraints induces unconventional single particle mobility behavior. Specifically, in a $2$-dimensional channel with width $w$, under external drive, tighter geometrical constraints (smaller $w$) enhance mobility. We derive an explicit form of the response to an external force by utilizing the double-subordination approach for the quenched trap model. The observed mobility enhancement occurs in the low-temperature regime where the distribution of localization times is scale-free. |
| title | Disorder-Induced Anomalous Mobility Enhancement in Confined Geometries |
| topic | Statistical Mechanics Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2403.01665 |