A new solution to the statistics of hard elongated objects

Details A new solution to the statistics of hard elongated objects A new solution to the statistics of hard elongated objects

2009-11-27

arxiv.org/abs/0911.5312v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 5 figures

Scientific paper

We propose an analytical solution to the statistics of hard elongated objects (e.g. needles, rectangles, ellipses, etc) in one dimension, by using Gibbs free energy formalism and an adequate approximation to the phase space. Some analytical formulation for a collective thermodynamic properties are found that are in agreements with the results recently obtained numerically from the exact model. We also verify the inverse distance law of sound pressure and notice below a certain pressure the expectation value of inverse distance is deviated from scaling as the inverse of distance.

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