Universality in the jamming limit for elongated hard particles in one dimension
We study the thermodynamics properties of a one-dimensional gas of hard elongated particles. The particle centers are restricted to a line, while they can rotate in a two-dimensional space. Correlations between orientations of the objects are studied (by the transfer matrix method) as a function of...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
Institute of Physics Publishing
2013
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| Online Access: | http://hdl.handle.net/1721.1/76342 https://orcid.org/0000-0002-1112-5912 |
| Summary: | We study the thermodynamics properties of a one-dimensional gas of hard elongated particles. The particle centers are restricted to a line, while they can rotate in a two-dimensional space. Correlations between orientations of the objects are studied (by the transfer matrix method) as a function of density and aspect ratio. The behavior in the extreme high-density (jamming) limit is described by a few universality classes depending on the object's shape. In particular, there is a diverging correlation length when the contact point of adjacent objects is far from the line along which their centers move, as for needles and rectangles. |
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