Memory effects in the relaxation of a confined granular gas

Brey, J. Javier; Soria, M. I. García de; Maynar, P.; Buzón, V.

doi:10.1103/physreve.90.032207

Cited by 14 publications

(14 citation statements)

References 47 publications

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“…A similar effect has been observed in the temperature time evolution of granular fluids subject to a sudden temperature change [27,28,29,30]. The granular fluid dynamics is in this case simpler (density and volume are maintained constant throughout the process).…”

Section: Introductionsupporting

confidence: 68%

Memory effects in a gas of viscoelastic particles

et al. 2021

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We study a granular gas of viscoelastic particles, i.e, the kinetic energy loss upon collision, characteristic of granular materials, is a function of the particles relative velocities at impact. In order to characterize thermal memory in this system, we study the temperature relaxation curves when the granular gas is subject to sudden thermostat changes (the gas is heated homogeneously by means of a white noise). Results show that the system may display anomalous cooling and heating velocities at early times. In particular, a significant Mpemba effect is present; i.e., an initially hotter/cooler granular gas can cool down/heat up faster than an in comparison cooler/hotter granular gas. Moreover, a non-monotonic relaxation of the granular temperature can also be observed (also known as Kovacs effect) when the granular gas undergoes a certain protocol that sets it at a temperature equal to its long-time value. We study our system via three independent methods: theoretical solution, molecular dynamics simulations and exact numerical solution of the kinetic equation (obtained by means of the Direct Monte Carlo simulation method). We find a good agreement between all three methods.

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Section: Introductionsupporting

confidence: 68%

Memory effects in a gas of viscoelastic particles

et al. 2021

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“…To close equations (23) and (24), we have to express the velocity moments of the collisional term in terms of the horizontal and vertical temperatures. In order to do it, we will assume that the distribution function is, for all times, very closed to a Maxwellian distribution characterized by the temperatures in the vertical and horizontal directions, i.e.…”

Section: Finally the Wall Contributions Is [36]mentioning

confidence: 99%

Homogeneous dynamics in a vibrated granular monolayer

Maynar¹,

Soria²,

Brey³

2019

J. Stat. Mech.

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A simple model of a vibrated granular monolayer is studied. It consists of inelastic hard spheres confined between two parallel hard plates separated a distance smaller than twice the diameter of the particles. Both walls are elastic and one of them is vibrating in a sawtooth way. For low densities, a kinetic equation is proposed from which closed evolution equations for the horizontal and vertical temperatures are derived assuming spatial homogeneity and that the system is very thin.An excellent agreement between the theoretical predictions and Molecular Dynamics simulation results is obtained both, for the stationary values and for the dynamics of the temperatures.

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“…[24] to include more terms of the expansion and show that after the inclusion of the first cumulant, the following terms given small corrections. Recently, the relaxation of this model from the kinetic regime to the hydrodynamic regime has been studied showing that hydrodynamics describe the system evolution in the long-time limit [25,26].…”

Section: Introductionmentioning

confidence: 99%

Shear viscosity of a model for confined granular media

2014

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The shear viscosity in the dilute regime of a model for confined granular matter is studied by simulations and kinetic theory. The model consists on projecting into two dimensions the motion of vibrofluidized granular matter in shallow boxes by modifying the collision rule: besides the restitution coefficient that accounts for the energy dissipation, there is a separation velocity that is added in each collision in the normal direction. The two mechanisms balance on average, producing stationary homogeneous states. Molecular dynamics simulations show that in the steady state the distribution function departs from a Maxwellian, with cumulants that remain small in the whole range of inelasticities. The shear viscosity normalized with stationary temperature presents a clear dependence with the inelasticity, taking smaller values compared to the elastic case. A Boltzmann-like equation is built and analyzed using linear response theory. It is found that the predictions show an excellent agreement with the simulations when the correct stationary distribution is used but a Maxwellian approximation fails in predicting the inelasticity dependence of the viscosity. These results confirm that transport coefficients depend strongly on the mechanisms that drive them to stationary states.

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Memory effects in the relaxation of a confined granular gas

Cited by 14 publications

References 47 publications

Memory effects in a gas of viscoelastic particles

Memory effects in a gas of viscoelastic particles

Homogeneous dynamics in a vibrated granular monolayer

Shear viscosity of a model for confined granular media

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