Size-polydisperse dust in molecular gas: Energy equipartition versus non-equipartition

Abstract

We investigate numerically and analytically size-polydisperse granular mixtures immersed into a molecular gas. We show that the equipartition of granular temperatures of particles of different sizes is established; however, the granular temperatures significantly differ from the temperature of the molecular gas. This result is surprising since, generally, the energy equipartition is strongly violated in driven granular mixtures. Qualitatively, the obtained results do not depend on the collision model, being valid for a constant restitution coefficient $\epsilon$, as well as for the $\epsilon$ for viscoelastic particles. Our findings may be important for astrophysical applications, such as protoplanetary disks, interstellar dust clouds, and comets.

References in corpus (21)

• A model for collisions in granular gases
• Coefficient of restitution of colliding viscoelastic spheres
• Breakdown of Energy Equipartition in a 2D Binary Vibrated Granular Gas
• Warm Molecular Layers in Protoplanetary Disks
• Coefficient of normal restitution of viscous particles and cooling rate of granular gases
• Mesoscopic Theory of Granular Fluids
• Computer simulation of uniformly heated granular fluids
• Size distribution of particles in Saturn's rings from aggregation and fragmentation
• Kinetic Temperatures for a Granular Mixture
• Physical and Chemical Structure of Protoplanetary Disks with Grain Growth
• Cohesion of Amorphous Silica Spheres: Toward a Better Understanding of the Coagulation Growth of Silicate Dust Aggregates
• Coefficient of Restitution for Viscoelastic Spheres: The Effect of Delayed Recovery
• Negative normal restitution coefficient for nanocluster collisions
• Spatial Correlations in Compressible Granular Flows
• A dissipative force between colliding viscoelastic bodies: Rigorous approach
• Intermediate regimes in granular Brownian motion: Superdiffusion and subdiffusion
• Measuring protoplanetary disk gas surface density profiles with ALMA
• Pattern Formation in the Inhomogeneous Cooling State of Granular Fluids
• Collision of viscoelastic bodies: Rigorous derivation of dissipative force
• Velocity Distribution of Inelastic Granular Gas in Homogeneous Cooling State
• Universality of temperature distribution in granular gas mixtures with a steep particle size distribution

Cited by in corpus (7)

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• Time-dependent homogeneous states of binary granular suspensions
• Diffusion in multicomponent granular mixtures
• The role of energy in ballistic agglomeration
• Hydrodynamic equations for space-inhomogeneous aggregating fluids with first-principle kinetic coefficients
• Enskog kinetic theory of binary granular suspensions: heat flux and stability analysis of the homogeneous steady state
• Kinetic theory of polydisperse granular mixtures: influence of the partial temperatures on transport properties. A review