Universality in the jamming limit for elongated hard particles in one dimension
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Author(s)
Kantor, Yacov
Kardar, Mehran
Date Issued
October 2009
Journal
Europhysics Letters
Publisher
Institute of Physics Publishing
Citation
Kantor, Yacov, and Mehran Kardar. “Universality in the Jamming Limit for Elongated Hard Particles in One Dimension.” EPL (Europhysics Letters) 87.6 (2009): 60002. Web.
Version
Author's final manuscript
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Creative Commons Attribution-Noncommercial-Share Alike 3.0
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DOI of Published Version
https://doi.org/10.1209/0295-5075/87/60002
