Liquid–solid-like transition in quasi-one-dimensional driven granular media

Clerc, Marcel G.; Cordero, Patricio; Dunstan, Jocelyn; Huff, Kathryn D.; Mujica, Nicolás; Risso, Dino; Varas, Germán

doi:10.1038/nphys884

Cited by 93 publications

(136 citation statements)

References 24 publications

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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].…”

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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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confidence: 99%

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

et al. 2012

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“…The explicit form of the collision law is given in the Appendix. These particular values are known to reproduce complex behaviour observed in similar vibrated setups using stainless-steel spheres ofd = 1 mm tod = 5 mm in diameter [56,42], and where picked based on previous experimental measurements [117]. In order to avoid inelastic collapse we use the TC model [87], with a constant value t c = 10 −6 (d/g) 1/2 , withd the (dimensional) diameter of the spheres, andg the (dimensional) gravity.…”

Section: Simulationsmentioning

confidence: 88%

“…Spontaneous phase-separation in vertically vibrated monolayers inspired a whole range of experiments, theory and simulations [30,31,38,39,40,41,42,43]. Emerging patterns and localized structures yielded interesting relations with general dynamics based on the amplitude of the observed patterns [44,29,45,46].…”

Section: Vibrated Granular Materialsmentioning

confidence: 93%

“…Decades of research have revealed many novel non-equilibrium phase transitions and collective behaviours [61,38,137,28,138,29], the study of which not only has a fundamental physical interest, but is also relevant for many industries [139,140,141]. Many of these behaviours show a striking similarity with molecular fluids or solid phenomena [121,111,142,143], and some have even been successfully described by equilibrium theories [30].…”

Section: Introductionmentioning

confidence: 99%

“…Studying the origin of these agreements advances our understanding of far-fromequilibrium states, and explores the limits of continuum descriptions of discrete systems. Furthermore, the low number of constituents, when compared to molecular counterparts, makes granular materials particularly suited for the study of noise effects in spatially extended transitions, a subject of increasing physical interest due to the ubiquitous presence of fluctuations in natural phenomena [33,137,34,36,144]. In order to keep granular media fluidized it is necessary to provide energy to the system.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic densification of wet granular materials in continuous dense flows under gravity

et al. 2022

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The continuous granular flow under gravity extensively exists in chemical processes, and the dynamic behaviors of granular flow under different gas–liquid environments are investigated by synchronous slide‐type high‐speed photography. Results show that a hexagonal arrangement is observed after three‐stage densification in wet granular flow, while these structures are almost absent in the dry system. Further analysis shows that under the induction of liquid, the special cavity collapse in stage І is the pre‐condition of granular densification, and the subsequent densification in stage ІІ for the first time gives the experimental proof for the hypothesis that energy barriers exist and depend on the friction characteristics, and the cage effect in stage ІІІ provides a guarantee for the formation of a hexagonal contact network. Besides, three‐stage densification in the three‐phase system mainly occurs in the region with low gas and liquid velocities (G* < 0.716 and L* < 0.023 in this work).

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Liquid–solid-like transition in quasi-one-dimensional driven granular media

Cited by 93 publications

References 24 publications

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

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

Discrete and continuum descriptions of shaken granular matter

Dynamic densification of wet granular materials in continuous dense flows under gravity

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