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Entropy 2017, 19(10), 536; doi:10.3390/e19100536

Hydrodynamics of a Granular Gas in a Heterogeneous Environment

1
Departamento de Física, Universidad de Extremadura, 06071 Badajoz, Spain
2
G. Millán Institute, Fluid Dynamics, Nanoscience and Industrial Mathematics, Department of Materials Science and Engineering and Chemical Engineering, Universidad Carlos III de Madrid, 28911 Leganés, Spain
*
Author to whom correspondence should be addressed.
Received: 21 August 2017 / Revised: 2 October 2017 / Accepted: 9 October 2017 / Published: 11 October 2017
(This article belongs to the Special Issue Thermodynamics and Statistical Mechanics of Small Systems)
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Abstract

We analyze the transport properties of a low density ensemble of identical macroscopic particles immersed in an active fluid. The particles are modeled as inelastic hard spheres (granular gas). The non-homogeneous active fluid is modeled by means of a non-uniform stochastic thermostat. The theoretical results are validated with a numerical solution of the corresponding the kinetic equation (direct simulation Monte Carlo method). We show a steady flow in the system that is accurately described by Navier-Stokes (NS) hydrodynamics, even for high inelasticity. Surprisingly, we find that the deviations from NS hydrodynamics for this flow are stronger as the inelasticity decreases. The active fluid action is modeled here with a non-uniform fluctuating volume force. This is a relevant result given that hydrodynamics of particles in complex environments, such as biological crowded environments, is still a question under intense debate. View Full-Text
Keywords: granular gas; heterogeneous media; hydrodynamics; active matter non-equilibrium granular gas; heterogeneous media; hydrodynamics; active matter non-equilibrium
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Vega Reyes, F.; Lasanta, A. Hydrodynamics of a Granular Gas in a Heterogeneous Environment. Entropy 2017, 19, 536.

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