Effect of fractal disorder on static friction in the Tomlinson model
We propose a modified version of the Tomlinson model for static friction between two chains of beads. We introduce disorder in terms of vacancies in the chain, and distribute the remaining beads in a scale invariant way. For this we utilize a generalized random Cantor set. We relate the static frict...
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| Veröffentlicht in: | arXiv.org 2010-10 |
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| creator | Jon Alm Eriksen Biswas, Soumyajyoti Chakrabarti, Bikas K |
| description | We propose a modified version of the Tomlinson model for static friction between two chains of beads. We introduce disorder in terms of vacancies in the chain, and distribute the remaining beads in a scale invariant way. For this we utilize a generalized random Cantor set. We relate the static friction force, to the overlap distribution of the chains, and discuss how the distribution of the static friction force depends on the distribution of the remaining beads. For the random Cantor set we find a scaled distribution which is independent on the generation of the set. |
| doi_str_mv | 10.48550/arxiv.1010.1766 |
| format | Article |
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| subjects | Beads Chains Friction Physics - Other Condensed Matter Physics - Statistical Mechanics Static friction Stress concentration |
| title | Effect of fractal disorder on static friction in the Tomlinson model |
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