Fluctuating hydrodynamics in a vertically vibrated granular fluid with gravity

Giulio Costantini and Andrea Puglisi
Phys. Rev. E 84, 031307 – Published 22 September 2011

Abstract

We investigate hydrodynamic fluctuations in a two-dimensional granular fluid excited by a vibrating base and in the presence of gravity, focusing on the transverse velocity modes. Since the system is inhomogeneous, we measure fluctuations in horizontal layers whose width is smaller than the characteristic hydrodynamic lengths: they can be considered as almost-homogeneous subsystems. The large time decay of the autocorrelations of modes is exponential and compatible with vorticity diffusion due to shear viscosity, as in equilibrium fluids. The velocity structure factor, which strongly deviates from the equilibrium constant behavior, is well reproduced by an effective fluctuating hydrodynamics described by two noise terms: the first associated with vorticity diffusion and the second with the local energy exchange, which have internal and external character, respectively.

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  • Received 26 May 2011

DOI:https://doi.org/10.1103/PhysRevE.84.031307

©2011 American Physical Society

Authors & Affiliations

Giulio Costantini and Andrea Puglisi

  • CNR-ISC and Dipartimento di Fisica, Università Sapienza - Piazzale Aldo Moro 2, I-00185, Roma, Italy

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Issue

Vol. 84, Iss. 3 — September 2011

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