Mesoscopic Theory of Critical Fluctuations in Isolated Granular Gases

Abstract

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.

References in corpus (5)

• Universal Fluctuations in Correlated Systems
• Extension of Haff's cooling law in granular flows
• Mesoscopic Theory of Granular Fluids
• Transient structures in a Granular Gas
• Scaling and universality of critical fluctuations in granular gases

Cited by in corpus (7)

• Fluctuating hydrodynamics and mesoscopic effects of spatial correlations in dissipative systems with conserved momentum
• Lattice models for granular-like velocity fields: Finite-size effects
• The shearing instability of a dilute granular mixture
• Energy fluctuations in a randomly driven granular fluid
• Dynamics of Annihilation II: Fluctuations of Global Quantities
• Entropic aging and extreme value statistics
• Dissipation induced non-Gaussian energy fluctuations