Journal ArticleDOI
Monte Carlo simulation of the homogeneous cooling state for a granular mixture
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TLDR
In this article, the Direct Simulation Monte Carlo (DSMC) method is used to numerically solve the Enskog equation for a granular binary mixture in the homogeneous cooling state (HCS).Abstract:
The Direct Simulation Monte Carlo (DSMC) method is used to numerically solve the Enskog equation for a granular binary mixture in the homogeneous cooling state (HCS). The fourth velocity moments, the temperature ratio, and also the velocity distribution functions are obtained and compared with approximate analytical results derived recently from a Sonine polynomial expansion [V. Garzo and J. W. Dufty, Phys. Rev. E 60, 5706 (1999)]. The comparison shows an excellent agreement between both approaches, even for strong dissipation or disparate values of the mechanical parameters of the mixture. In contrast to previous studies, the partial temperatures of each species are clearly different, so that the total energy is not equally distributed between both species. Finally, in the same way as in the one-component case, the simulation as well as the theory show a high energy tail of the distribution functions.read more
Citations
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Journal ArticleDOI
Fluctuation-dissipation: Response theory in statistical physics
TL;DR: In this paper, the relation between the relaxation of spontaneous fluctuations and the response to an external perturbation is discussed, and the connection of these works with large deviation theory is analyzed.
Journal ArticleDOI
Kinetic temperatures for a granular mixture
TL;DR: This phenomenon is explored by molecular dynamics simulation of a two component fluid, with comparison to predictions of the Enskog kinetic theory, and good agreement between theory and simulation is found for the lower densities and higher restitution coefficient.
Journal ArticleDOI
Rheology of bidisperse granular mixtures via event-driven simulations
Meheboob Alam,Stefan Luding +1 more
TL;DR: In this paper, the bulk rheology of bidisperse mixtures of granular materials is examined under homogeneous shear flow conditions using the event-driven simulation method, where the granular material is modelled as a system of smooth inelastic disks, interacting via the hard core potential.
Journal ArticleDOI
Diffusion of impurities in a granular gas.
TL;DR: Diffusion of impurities in a granular gas undergoing homogeneous cooling state is studied and explicit expressions for D in terms of the coefficients of restitution for the impurity-gas and gas-gas collisions as well as the ratios of mass and particle sizes are obtained.
Journal ArticleDOI
Solutions of the kinetic theory for bounded collisional granular flows
TL;DR: In this paper, collisional granular flows of nearly elastic spheres featuring a single constituent or binary mixtures in various bounded geometries are considered, and the equations of the kinetic theory for the conservation of mass, momentum, fluctuation energy and species concentration are reviewed.
References
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Book
Molecular Gas Dynamics and the Direct Simulation of Gas Flows
TL;DR: The direct simulation Monte Carlo (or DSMC) method has, in recent years, become widely used in engineering and scientific studies of gas flows that involve low densities or very small physical dimensions as mentioned in this paper.
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