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

Abstract

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.

arXiv commentLaTeX, 6 pages, 4 figures

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• Ordering properties of anisotropic hard bodies in one-dimensional channels
• Hard-needle elastomer in one spatial dimension
• Competition between shape anisotropy and deformation in the ordering and close packing properties of quasi-one-dimensional hard superellipse fluids
• Positional ordering of hard adsorbate particles in tubular nanopores
• Ordering and association of patchy particles in quasi-one-dimensional channel
• Orientational ordering and correlations in a quasi-one-dimensional hard-dumbbell fluid