Universality in the jamming limit for elongated hard particles in one dimensionYacov Kantor1 and Mehran Kardar2
1 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
received 14 July 2009; accepted in final form 7 September 2009; published September 2009
published online 5 October 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.
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