Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2011-02-03
Physics
Condensed Matter
Soft Condensed Matter
6 pages, 3 figures
Scientific paper
In a 1949 iconic paper, Onsager demonstrated the existence of a first-order isotropic-to-nematic transition as the density of an equilibrium suspension of infinitely thin hard rods is increased. When the particles in the suspension settle under gravity a new jammed phase emerges. Jammed states show reversible behavior when systematically shaken, and therefore, can be treated by statistical mechanics as proposed by Edwards. We develop a route to study the phases of jammed packings of rodlike particles under the umbrella of Edwards ensemble by extending the framework of Song et al., Nature (2008) from hard spheres to hard spherocylinders. In this paper, we start by calculating the Voronoi diagram of a set of spherocylinders and present an algorithm for its evaluation. We then discuss the next steps to develop the Edwards ensemble in search of novel phases of jammed matter of hard rodlike particles.
Baule Adrian
Danisch Maximilien
Makse Hernan A.
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