Liquid-Gas Phase Separation in Confined Vibrated Dry Granular Matter

Roeller, Klaus; Clewett, James P. D.; Bowley, R. M.; Herminghaus, Stephan; Swift, Michael

doi:10.1103/physrevlett.107.048002

Cited by 39 publications

(58 citation statements)

References 22 publications

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“…The situation is, then, similar to the results of the experiments reported in Refs. [16,17]. For spatially homogeneous situations, the predictions of the equations for the horizontal and vertical temperatures agree very well with MD simulation results for mild inelasticities, both for the stationary values and for the dynamics.…”

Section: Introductionsupporting

confidence: 69%

“…Changing variables to z 1 defined by Eq. (16) and integrating also in z, we obtain where we have used that the integrand is invariant under the changez 1 byz 2 and we have introducedz 12 ≡z 1 −z 2 . Finally, changing variables to y =z 1 −z 2 , Y = 1 2 (z 1 +z 2 ),…”

Section: (A2)mentioning

confidence: 99%

“…Originally, the system is open from above, being gravity the cause of the confinement [12,13]. The system can also be confined by a top lid, the distance between plates being much smaller than the horizontal dimensions in such a way that it can be considered quasi-two-dimensional (Q2D) [14][15][16][17][18][19][20]. The bottom plate is usually smooth, although rough plates have also been used [14].…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Introductionsupporting

confidence: 69%

Section: (A2)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Homogeneous dynamics in a vibrated granular monolayer

Maynar¹,

Soria²,

Brey³

2019

J. Stat. Mech.

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“…For instance, it has been shown recently that an effective hydrodynamic model that is consistent with the ideas reported here in the quasielastic limit, predicts the existence of an instability leading to the formation of a density cluster [20]. This result can be related with some experimental findings in which the coexistence between a liquid-like phase and a gas-like phase has been reported in a system similar to the one considered in this paper, although with a larger separation between the two plates [21,22]. It is worth to mention that the phenomenon of the coexistence of two phases in a narrow vibrated granular gas has been rather elusive, in the sense that several models proposed in the literature were unable, in our opinion, to provide a fully satisfactory explanation of it [23][24][25][26].…”

Section: Discussionsupporting

confidence: 90%

Inhomogeneous cooling state of a strongly confined granular gas at low density

2019

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The inhomogeneous cooling state describing the hydrodynamic behavior of a freely evolving granular gas strongly confined between two parallel plates is studied, using a Boltzmann kinetic equation derived recently. By extending the idea of the homogeneous cooling state, we propose a scaling distribution in which all the time dependence occurs through the granular temperature of the system, while there is a dependence on the distance to the confining walls through the density. It is obtained that the velocity distribution is not isotropic, and it has two different granular temperature parameters associated to the motion perpendicular and parallel to the confining plates, respectively, although their cooling rates are the same. Moreover, when approaching the inhomogeneous cooling state, energy is sometimes transferred from degrees of freedom with lower granular temperature to those with a higher one, contrary to what happens in molecular systems.The cooling rate and the two partial granular temperatures are calculated by means of a Gaussian approximation. The theoretical predictions are compared with molecular dynamics simulation results and a good agreement is found.PACS numbers:

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“…Mt, 73.21.Cd Understanding the interplay between the properties of individual objects and their collective behavior is of fundamental interest in many fields [1][2][3][4]. It explains, for example, jamming and pattern formation in granular systems [1,[5][6][7], dynamical heterogeneity in phase transitions [3], tunneling dynamics and quantum phases in cold atoms [8,9], and the synchronization of networks and complex adaptive systems [2,10]. Moreover, interactions between particles play a key role in determining the structures formed when the particles come into contact [4].…”

mentioning

confidence: 99%

Controlling High-Frequency Collective Electron Dynamics via Single-Particle Complexity

et al. 2012

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We demonstrate, through experiment and theory, enhanced high-frequency current oscillations due to magnetically-induced conduction resonances in superlattices. Strong increase in the ac power originates from complex single-electron dynamics, characterized by abrupt resonant transitions between unbound and localized trajectories, which trigger and shape propagating charge domains. Our data demonstrate that external fields can tune the collective behavior of quantum particles by imprinting configurable patterns in the single-particle classical phase space.PACS numbers: 05.45. Mt, 73.21.Cd Understanding the interplay between the properties of individual objects and their collective behavior is of fundamental interest in many fields [1][2][3][4]. It explains, for example, jamming and pattern formation in granular systems [1,[5][6][7], dynamical heterogeneity in phase transitions [3], tunneling dynamics and quantum phases in cold atoms [8,9], and the synchronization of networks and complex adaptive systems [2,10]. Moreover, interactions between particles play a key role in determining the structures formed when the particles come into contact [4]. Consequently, tailoring single-particle dynamics may provide a route to controlling the collective dynamics of many-body systems. This is a major challenge both in fundamental science [11][12][13] and for developing new technologies such as high-frequency electronic devices [14][15][16], whose performance can be greatly enhanced by applied quantizing magnetic fields [17,18].The phase space structure of individual particles, in particular the existence and relative location of regular and chaotic trajectories, critically affects thermalization and diffusion both in classical and quantum systems [19,20]. Therefore, manipulating the single-particle phase space, by generating new chaotic trajectories for example, is a promising strategy in the search for ways to control other collective phenomena.Usually, the transition to chaos in Hamiltonian systems occurs by the gradual destruction of stable orbits, in accordance with the Kolmogorov-Arnold-Moser (KAM) theorem [21]. In far rarer non-KAM chaos, the chaotic orbits become abruptly unbounded when the perturbation frequency attains critical values and map out intricate "stochastic webs" in phase space [19]. Experimental realization of non-KAM classical chaos was recently achieved using a quantum system [22]: a semiconductor superlattice (SL) with a magnetic field, B, tilted relative to an electric field, F, along the SL axis. When the frequency of single-electron Bloch oscillations along the SL axis is commensurate with that for cyclotron motion in the plane of the layers [14,22,23], the orbits map out stochastic webs in phase space, which delocalize the electrons in real space. This delocalization creates multiple resonant peaks in the single-electron drift velocity versus F characteristics, which enhance the measured dc conductivity [22].In this Letter, we show, via experiments and theoretical modeling, that non-KAM single-pa...

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Liquid-Gas Phase Separation in Confined Vibrated Dry Granular Matter

Cited by 39 publications

References 22 publications

Homogeneous dynamics in a vibrated granular monolayer

Homogeneous dynamics in a vibrated granular monolayer

Inhomogeneous cooling state of a strongly confined granular gas at low density

Controlling High-Frequency Collective Electron Dynamics via Single-Particle Complexity

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