Volume 87, Number 6, September 2009
|Number of page(s)||5|
|Published online||05 October 2009|
Universality in the jamming limit for elongated hard particles in one dimension
Raymond and Beverly Sackler School of Physics and Astronomy - Tel Aviv University, Tel Aviv 69978, Israel
2 Department of Physics, Massachusetts Institute of Technology - Cambridge, MA 02139, USA
Accepted: 7 September 2009
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.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 05.70.Ce – Thermodynamic functions and equations of state / 61.30.Cz – Molecular and microscopic models and theories of liquid crystal structure
© EPLA, 2009
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