Computer simulation of uniformly heated granular fluids

Montanero, J. M.; Santos, Andrés

doi:10.1007/s100350050035

Cited by 182 publications

(374 citation statements)

References 22 publications

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“…These results are largely generalizations of special cases, existing in the literature for θ = {0, 1}; ν = {0, 1}; σ = {1, ν}, derived in [15,16]. The remaining terms with sub-leading powers of c have respectively the exponents…”

Section: Asymptotics For Stable Nesssupporting

confidence: 64%

“…Although the measured velocity distribution F (v) generically deviates from the Maxwellian, its functional form depends on material property and on the forcing mechanism used to compensate for collisional loss of energy [6,7,8,9]. A similar picture emerges from numerical simulations and analytical studies [8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33], where in addition to the more common stretched exponential behavior, power-law distributions have also been reported [13,20,21,22,31].…”

Section: Introductionmentioning

confidence: 93%

“…To illustrate how power law tails arise, we take the limit of f (c) as b → 0 + using the relation (c b − 1)/b ∼ ln c. The result is, Here the Maxwell molecules are the marginally stable model. To determine the full exponent of the power law tail we linearize the nonlinear integral equation (13) at the stability threshold around the "thermal bulk part" of f (c), using (15) and (16). We start with the simplest case of inelastic soft spheres, driven by a linear friction force (θ = 1).…”

Section: Marginal Stability Power Law Tailsmentioning

confidence: 99%

“…Generically these tails are stretched exponentials [15,16,23]. The more spectacular power law tails [13,20,21,22,31] are exceptional.…”

Section: Introductionmentioning

confidence: 99%

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Boltzmann equation for dissipative gases in homogeneous states with nonlinear friction

2007

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Combining analytical and numerical methods, we study within the framework of the homogeneous non-linear Boltzmann equation, a broad class of models relevant for the dynamics of dissipative fluids, including granular gases. We use the new method presented in a previous paper [J. Stat. Phys. 124, 549 (2006)] and extend our results to a different heating mechanism, namely a deterministic non-linear friction force. We derive analytically the high energy tail of the velocity distribution and compare the theoretical predictions with high precision numerical simulations. Stretched exponential forms are obtained when the non-equilibrium steady state is stable. We derive sub-leading corrections and emphasize their relevance. In marginal stability cases, power-law behaviors arise, with exponents obtained as the roots of transcendental equations. We also consider some simple BGK (Bhatnagar, Gross, Krook) models, driven by similar heating devices, to test the robustness of our predictions.

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Section: Asymptotics For Stable Nesssupporting

confidence: 64%

Section: Introductionmentioning

confidence: 93%

Section: Marginal Stability Power Law Tailsmentioning

confidence: 99%

“…Generically these tails are stretched exponentials [15,16,23]. The more spectacular power law tails [13,20,21,22,31] are exceptional.…”

Section: Introductionmentioning

confidence: 99%

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Boltzmann equation for dissipative gases in homogeneous states with nonlinear friction

2007

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“…In experiments the energy is typically supplied at the boundaries, leading the system to a heterogeneous stationary state [3,4,5,18]. In order to avoid the complication of strong temperature heterogeneities, we will use a homogeneous driving in the form of a "thermostat": in this mechanism (which recently has attracted the attention of many theorists [19,20,21,22,23,24,25]), the particles are submitted, between collisions, to a random force in the form of an uncorrelated white noise (e.g. Gaussian) with the possible addition of a viscous term.…”

Section: Modelmentioning

confidence: 99%

Temperature probes in binary granular gases

Barrat¹,

Loreto²,

Puglisi³

2004

Physica A: Statistical Mechanics and its Applications

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We investigate the validity of Fluctuation-Dissipation (FD) relations for a mixture of two granular gases with different physical properties (restitution coefficients or masses) subject to stochastic driving. It is well known that the partial granular temperatures T1 and T2 of the two components are different, i.e. energy equipartition is broken. We observe, with numerical simulations of inelastic hard disks in homogeneous and non-homogeneous situations, that the classical equilibrium GreenKubo relations are satisfied separately for each component of the gas, the role of the equilibrium temperature being played by the granular temperature of each component. Of particular interest is the limit in which one of the two components consists of only one particle, representing a nonperturbing thermometer. In this case it turns out that such a thermometer is measuring its own temperature and not that of the surrounding granular media, which in general will be different.

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Transport Properties for Driven Granular Gases

Garzó

2019

Granular Gaseous Flows

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Computer simulation of uniformly heated granular fluids

Cited by 182 publications

References 22 publications

Boltzmann equation for dissipative gases in homogeneous states with nonlinear friction

Boltzmann equation for dissipative gases in homogeneous states with nonlinear friction

Temperature probes in binary granular gases

Transport Properties for Driven Granular Gases

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