Eriksen, Jon Alm ; Biswas, Soumyajyoti ; Chakrabarti, Bikas K. (2010) Effect of fractal disorder on static friction in the Tomlinson model Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 82 (4). 041124_1-041124_7. ISSN 1539-3755
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Official URL: http://pre.aps.org/abstract/PRE/v82/i4/e041124
Related URL: http://dx.doi.org/10.1103/PhysRevE.82.041124
Abstract
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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to The American Physical Society. |
| Keywords: | Tomlinson’s Model; Static Friction; Cantor Set; Fractal Overlap |
| ID Code: | 44796 |
| Deposited On: | 23 Jun 2011 07:58 |
| Last Modified: | 23 Jun 2011 07:58 |
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