Mesoscopic Theory of Critical Fluctuations in Isolated Granular Gases

Details Mesoscopic Theory of Critical Fluctuations in Isolated Granular Gases Mesoscopic Theory of Critical Fluctuations in Isolated Granular Gases

2005-11-24

arxiv.org/abs/cond-mat/0511595v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevLett.96.158002

Fluctuating hydrodynamics is used to describe the total energy fluctuations of a freely evolving gas of inelastic hard spheres near the threshold of the clustering instability. They are shown to be governed by vorticity fluctuations only, that also lead to a renormalization of the average total energy. The theory predicts a power-law divergent behavior of the scaled second moment of the fluctuations, and a scaling property of their probability distribution, both in agreement with simulations results. A more quantitative comparison between theory and simulation for the critical amplitudes and the form of the scaling function is also carried out.

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