2013
DOI: 10.1103/physreve.87.022209
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Hydrodynamic modes in a confined granular fluid

Abstract: Confined granular fluids, placed in a shallow box that is vibrated vertically, can achieve homogeneous stationary states thanks to energy injection mechanisms that take place throughout the system. These states can be stable even at high densities and inelasticities allowing for a detailed analysis of the hydrodynamic modes that govern the dynamics of granular fluids. Analyzing the decay of the time correlation functions it is shown that there is a crossover between a quasielastic regime in which energy evolve… Show more

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Cited by 43 publications
(120 citation statements)
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“…Recently, the interest in the slit geometry with two parallel, hard plates of a single component system of hard spheres, with a separation between the two plates smaller than two particle diameters, has largely increased, due to a series of experimental observations in systems of macroscopic particles [9][10][11][12]. Although it is quite sure that the inelasticity of collisions, inherent to the macroscopic character of the spheres, and the subsequently needed energy injection to reach and maintain a steady state, play a crucial role in many of the observed features [13][14][15], it is clear that before considering the consequences of these factors, the idealized system of elastic hard spheres must be addressed. The central issue is whether it is possible to formulate a macroscopic, hydrodynamic-like theory to describe the two-dimensional dynamics of the system when observed from above or from below and, if the answer is affirmative, which is the form of the equations and the expressions of the coefficients appearing in them.…”
mentioning
confidence: 99%
“…Recently, the interest in the slit geometry with two parallel, hard plates of a single component system of hard spheres, with a separation between the two plates smaller than two particle diameters, has largely increased, due to a series of experimental observations in systems of macroscopic particles [9][10][11][12]. Although it is quite sure that the inelasticity of collisions, inherent to the macroscopic character of the spheres, and the subsequently needed energy injection to reach and maintain a steady state, play a crucial role in many of the observed features [13][14][15], it is clear that before considering the consequences of these factors, the idealized system of elastic hard spheres must be addressed. The central issue is whether it is possible to formulate a macroscopic, hydrodynamic-like theory to describe the two-dimensional dynamics of the system when observed from above or from below and, if the answer is affirmative, which is the form of the equations and the expressions of the coefficients appearing in them.…”
mentioning
confidence: 99%
“…For homogeneous systems, if the attention is restricted to the one-particle distribution function, there is no need to consider the spatial coordinates of the particles. Consistently, We have applied the DSMC method to a two dimensional system, since this is the dimension for which the model being considered is expected to be more relevant, in the sense of modeling the horizontal dynamics of a vibrated gas of inelastic hard spheres, confined to a quasi-two dimensional geometry [13,14]. The number of particles employed in the simulations is N = 1000, and the reported results have been averaged over 5000 trajectories.…”
Section: Direct Monte Carlo Simulationsmentioning
confidence: 99%
“…The dynamics consists of free streaming until a given pair of particles i, j are at contact. At this moment, the velocities of the two particles change instantaneously according to the inelastic collision rule [13,14] …”
Section: Homogeneous Dynamicsmentioning
confidence: 99%
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