Universality in the jamming limit for elongated hard particles in one dimension

Details Universality in the jamming limit for elongated hard particles in one dimension Universality in the jamming limit for elongated hard particles in one dimension

2009-09-09

arxiv.org/abs/0909.1832v1

Europhys. Lett. 87, 60002 (2009)

Physics

Condensed Matter

Statistical Mechanics

LaTeX, 6 pages, 4 figures

Scientific paper

10.1209/0295-5075/87/60002

We study thermodynamics properties of a one dimensional gas of hard elongated particles. The particle centers are restricted to a line, while they can rotate in two-dimensional space. Correlations between orientations of the objects are studied (by 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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