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

Osinsky, Alexander; Bodrova, Anna; Brilliantov, Nikolai V.

doi:10.1103/physreve.101.022903

Cited by 10 publications

(9 citation statements)

References 62 publications

(86 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The detail of the Monte Carlo approach exploited here may be found in Refs. [49,50]. The only difference of the present implementation of this method is that the speeds of the particles were generated from the Maxwell distribution before each collision, without the use of a bath, as in Refs.…”

Section: Appendix A: Numerical Methodsmentioning

confidence: 99%

Role of energy in ballistic agglomeration

2020

Self Cite

View full text Add to dashboard Cite

We study a ballistic agglomeration process in the reaction-controlled limit. Cluster densities obey an infinite set of Smoluchowski rate equations, with rates dependent on the average particle energy. The latter is the same for all cluster species in the reaction-controlled limit and obeys an equation depending on densities. We express the average energy through the total cluster density that allows us to reduce the governing equations to the standard Smoluchowski equations. We derive basic asymptotic behaviors and verify them numerically. We also apply our formalism to the agglomeration of dark matter.

show abstract

Section: Appendix A: Numerical Methodsmentioning

confidence: 99%

Role of energy in ballistic agglomeration

2020

Self Cite

View full text Add to dashboard Cite

show abstract

“…The detail of the Monte-Carlo approach exploited here may be found in Refs. [50,51]. The only difference of the present implementation of this method is that the speeds of the particles were generated from the Maxwell distribution before each collision, without the use of a bath, as in [50,51].…”

Section: Appendix A: Numerical Methodsmentioning

confidence: 99%

“…[50,51]. The only difference of the present implementation of this method is that the speeds of the particles were generated from the Maxwell distribution before each collision, without the use of a bath, as in [50,51]. This follows from the fact that the particles have time to exchange kinetic energy between the aggregation events.…”

Section: Appendix A: Numerical Methodsmentioning

confidence: 99%

The role of energy in ballistic agglomeration

Brilliantov,

Osinsky,

Krapivsky

2020

Preprint

View full text Add to dashboard Cite

show abstract

“…This will provide a fundamental basis for the application of granular hydrodynamics under realistic conditions. Although some previous attempts based on the introduction of solid-fluid forces [ 120 , 124 , 125 , 126 ] have been made in the past, it still remains to propose theories where the influence of collisions between the solid particles and molecules of the interestitial fluid is explicitly accounted for in the corresponding kinetic equation. The complexity for considering this type of collisions is not a real problem for implementation in a code.…”

Section: Summary and Concluding Remarksmentioning

confidence: 99%

Kinetic Theory of Polydisperse Granular Mixtures: Influence of the Partial Temperatures on Transport Properties—A Review

Chamorro

González

Garzó

2022

Entropy

View full text Add to dashboard Cite

It is well-recognized that granular media under rapid flow conditions can be modeled as a gas of hard spheres with inelastic collisions. At moderate densities, a fundamental basis for the determination of the granular hydrodynamics is provided by the Enskog kinetic equation conveniently adapted to account for inelastic collisions. A surprising result (compared to its molecular gas counterpart) for granular mixtures is the failure of the energy equipartition, even in homogeneous states. This means that the partial temperatures Ti (measuring the mean kinetic energy of each species) are different to the (total) granular temperature T. The goal of this paper is to provide an overview on the effect of different partial temperatures on the transport properties of the mixture. Our analysis addresses first the impact of energy nonequipartition on transport which is only due to the inelastic character of collisions. This effect (which is absent for elastic collisions) is shown to be significant in important problems in granular mixtures such as thermal diffusion segregation. Then, an independent source of energy nonequipartition due to the existence of a divergence of the flow velocity is studied. This effect (which was already analyzed in several pioneering works on dense hard-sphere molecular mixtures) affects to the bulk viscosity coefficient. Analytical (approximate) results are compared against Monte Carlo and molecular dynamics simulations, showing the reliability of kinetic theory for describing granular flows.

show abstract

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

Cited by 10 publications

References 62 publications

Role of energy in ballistic agglomeration

Role of energy in ballistic agglomeration

The role of energy in ballistic agglomeration

Kinetic Theory of Polydisperse Granular Mixtures: Influence of the Partial Temperatures on Transport Properties—A Review

Contact Info

Product

Resources

About