Computer simulation of uniformly heated granular fluids

By J. Montanero, Andrés Santos. 2000

138 citations recorded by the source corpus.

Abstract Direct Monte Carlo simulations of the Enskog-Boltzmann equation for a spatially uniform system of smooth inelastic spheres are performed. In order to reach a steady state, the particles are assumed to be under the action of an external driving force which does work to compensate for the collisional loss of energy. Three different types of external driving are considered: (a) a stochastic force, (b) a deterministic force proportional to the particle velocity and (c) a deterministic force parallel to the particle velocity but constant in magnitude. The Enskog-Boltzmann equation in case (b) is fully equivalent to that of the homogeneous cooling state (where the thermal velocity monotonically decreases with time) when expressed in terms of the particle velocity relative to the thermal velocity. Comparison of the simulation results for the fourth cumulant and the high energy tail with theoretical predictions derived in cases (a) and (b) [T. P. C. van Noije and M. H. Ernst, Gran. Matt. 1, 57 (1998)] shows a good agreement. In contrast to these two cases, the deviation from the Maxwell-Boltzmann distribution is not well represented by Sonine polynomials in case (c), even for low dissipation. In addition, the high energy tail exhibits an underpopulation effect in this case.

Subfields: Atomic and Molecular Physics, and Optics, Computational Mechanics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/5337d2973bc2bf9207e7167d077a9a3d6fe865ac

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. V. Panferov
2. Irene M. Gamba
3. Andrea Puglisi
4. Angelo Vulpiani
5. Cédric Villani
6. Giuseppe Toscani

In Computational Mechanics

1. Andrea Puglisi
2. Lamberto Rondoni
3. Umberto Marini Bettolo Marconi
4. Angelo Vulpiani
5. Clément Mouhot
6. St'ephane Mischler

In Materials Chemistry

1. Andrea Puglisi
2. Lamberto Rondoni
3. Umberto Marini Bettolo Marconi
4. Angelo Vulpiani

Citations in the corpus

• Fluctuation-dissipation: Response theory in statistical physics (2008, background): “This model is nonetheless useful to test also spatial effects, see for example [134, 286].”
• Moment Inequalities and High-Energy Tails for Boltzmann Equations with Inelastic Interactions (2003, background): “1) for G(f )=0.(29,15) We denote f (v, t)= 1 v3 0(t) f̃ ( ṽ(v, t), t̃(t) ) , ṽ= v v0(t) ,”