Energy nonequipartition in gas mixtures of inelastic rough hard spheres: The tracer limit

Francisco Vega Reyes, Antonio Lasanta, Andrés Santos, and Vicente Garzó
Phys. Rev. E 96, 052901 – Published 6 November 2017; Erratum Phys. Rev. E 100, 049901 (2019)

Abstract

The dynamical properties of a tracer or impurity particle immersed in a host gas of inelastic and rough hard spheres in the homogeneous cooling state is studied. Specifically, the breakdown of energy equipartition as characterized by the tracer/host ratios of translational and rotational temperatures is analyzed by exploring a wide spectrum of values of the control parameters of the system (masses, moments of inertia, sizes, and coefficients of restitution). Three complementary approaches are considered. On the theoretical side, the Boltzmann and Boltzmann–Lorentz equations (both assuming the molecular chaos ansatz) are solved by means of a multitemperature Maxwellian approximation for the velocity distribution functions. This allows us to obtain explicit analytical expressions for the temperature ratios. On the computational side, two different techniques are used. First, the kinetic equations are numerically solved by the direct simulation Monte Carlo (DSMC) method. Second, molecular dynamics simulations for dilute gases are performed. Comparison between theory and simulations shows a general good agreement. This means that (i) the impact of the molecular chaos ansatz on the temperature ratios is not significant (except at high inelasticities and/or big impurities) and (ii) the simple Maxwellian approximation yields quite reliable predictions.

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  • Received 1 September 2017

DOI:https://doi.org/10.1103/PhysRevE.96.052901

©2017 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsPolymers & Soft Matter

Erratum

Erratum: Energy nonequipartition in gas mixtures of inelastic rough hard spheres: The tracer limit [Phys. Rev. E 96, 052901 (2017)]

Francisco Vega Reyes, Antonio Lasanta, Andrés Santos, and Vicente Garzó
Phys. Rev. E 100, 049901 (2019)

Authors & Affiliations

Francisco Vega Reyes1, Antonio Lasanta2, Andrés Santos1, and Vicente Garzó1

  • 1Departamento de Física and Instituto de Computación Científica Avanzada (ICCAEx), Universidad de Extremadura, 06006 Badajoz, Spain
  • 2Gregorio Millán Institute of Fluid Dynamics, Nanoscience and Industrial Mathematics, Department of Materials Science and Engineering and Chemical Engineering, Universidad Carlos III de Madrid, 28911 Leganés, Spain

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Vol. 96, Iss. 5 — November 2017

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