4.6 Article

Fluctuating hydrodynamics and mesoscopic effects of spatial correlations in dissipative systems with conserved momentum

Journal

NEW JOURNAL OF PHYSICS
Volume 17, Issue -, Pages -

Publisher

IOP Publishing Ltd
DOI: 10.1088/1367-2630/17/8/083039

Keywords

fluctuation phenomena; stochastic processes; nonequilibrium; granular flow

Funding

  1. Spanish Ministerio de Economia y Competitividad [FIS2014-53808-P]

Ask authors/readers for more resources

We introduce a model described in terms of a scalar velocity field on a 1D lattice, evolving through collisions that conserve momentum but do not conserve energy. Such a system possesses some of the main ingredients of fluidized granular media and naturally models them. We deduce non-linear fluctuating hydrodynamics equations for the macroscopic velocity and temperature fields, which replicate the hydrodynamics of shear modes in a granular fluid. Moreover, this Landau-like fluctuating hydrodynamics predicts an essential part of the peculiar behaviour of granular fluids, like the instability of homogeneous cooling state at large size or inelasticity. We also compute the exact shape of long range spatial correlations which, even far from the instability, have the physical consequence of noticeably modifying the cooling rate. This effect, which stems from momentum conservation, has not been previously reported in the realm of granular fluids.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.6
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

No Data Available
No Data Available