Subharmonic Instabilities and Defects in a Granular Layer under Vertical Vibrations

Douady, Stéphane; Fauve, S.; Laroche, C.

doi:10.1209/0295-5075/8/7/007

Cited by 244 publications

(138 citation statements)

References 2 publications

(1 reference statement)

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“…They were first reported by Douady et al (1989); in a quasi two-dimensional geometry. These waves oscillated at the half of the driving frequency, which indicates the sub-harmonic resonance characteristic for parametric instability.…”

Section: B Standing Wave Patternsmentioning

confidence: 94%

“…3. While the first observations of patterns in vibrated layers were made more than two centuries ago by Chladni (1787) and Faraday (1831), the current interest in these problems was initiated by Douady et al (1989); and culminated in the discovery by Umbanhowar et al (1996) of a remarkable localized object, oscillon, Fig. 4.…”

Section: A Pattern Formation In Vibrated Layersmentioning

confidence: 99%

“…The dawn of the new era was marked by the studies of heaping by Jenny (1964). In subsequent papers (Dinkelacker et al, 1987;Douady et al, 1989;Evesque et al, 1989;Laroche et al, 1989;Walker, 1982), more research has been performed of heaping with and without interstitial gas, with somewhat controversial conclusions on the necessity of ambient gas for heaping (see, e.g. (Evesque, 1990)).…”

Section: Surface Waves and Patterns In Vibrated Multilayers Of Gramentioning

confidence: 99%

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Patterns and collective behavior in granular media: Theoretical concepts

2006

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Granular materials are ubiquitous in our daily lives. While they have been a subject of intensive engineering research for centuries, in the last decade granular matter attracted significant attention of physicists. Yet despite a major efforts by many groups, the theoretical description of granular systems remains largely a plethora of different, often contradicting concepts and approaches. Authors give an overview of various theoretical models emerged in the physics of granular matter, with the focus on the onset of collective behavior and pattern formation. Their aim is two-fold: to identify general principles common for granular systems and other complex non-equilibrium systems, and to elucidate important distinctions between collective behavior in granular and continuum pattern-forming systems.

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Section: B Standing Wave Patternsmentioning

confidence: 94%

Section: A Pattern Formation In Vibrated Layersmentioning

confidence: 99%

Section: Surface Waves and Patterns In Vibrated Multilayers Of Gramentioning

confidence: 99%

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Patterns and collective behavior in granular media: Theoretical concepts

2006

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“…The vibrations allow the particles to rearrange and play a role similar to the temperature in the colloidal sedimentation. Whereas many reports have been devoted to the dynamics of a granular media [18,19] and its compaction [1,20,21] under vertical vibrations, few have been concerned with horizontal vibrations [22,23] and to our knowledge no crystallization results have been reported.…”

Section: Crystallization Of Non-brownian Spheres Under Horizontal Shamentioning

confidence: 99%

Crystallization of non-Brownian Spheres under Horizontal Shaking

1997

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International audienceUntil now, it has been observed that a collective handling of uniform spheres could only lead to a random close packing of 0.64 maximum volume fraction. In this Letter, we show that denser crystalline arrangements can be obtained when beads are poured at low flow rates into a horizontally shaken container. A parallel is suggested between this process and that of colloidal sedimentation which also yields crystalline structure

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“…A variety of novel phenomena have been discovered in the past fifteen years [12]: heaping and convection rolls [13,14], standing and traveling waves [15][16][17], oscillons [18], and fluidization [19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Velocity statistics in excited granular media

Losert

Cooper

Delour

et al. 1999

Chaos: An Interdisciplinary Journal of Nonlinear Science

267

213

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We present an experimental study of velocity statistics for a partial layer of inelastic colliding beads driven by a vertically oscillating boundary. Over a wide range of parameters (accelerations 3-8 times the gravitational acceleration), the probability distribution P (v) deviates measurably from a Gaussian for the two horizontal velocity components. It can be described by P (v) ∼ exp(−|v/v c | 1.5 ), in agreement with a recent theory. The characteristic velocity v c is proportional to the peak velocity of the boundary. The granular temperature, defined as the mean square particle velocity, varies with particle density and exhibits a maximum at intermediate densities. On the other hand, for free cooling in the absence of excitation, we find an exponential velocity distribution. Finally, we examine the sharing of energy between particles of different mass. The more massive particles are found to have greater kinetic energy. PACS: 83.70.Fn, 05.20.Dd, 83.10.Pp Typeset using REVT E X 1 We determine the statistical properties of particles in a vibrated granular medium experimentally. While many similarities between ordinary gases and excited granular media have been found, a fundamental difference is that collisions between particles in granular matter are inelastic. As a consequence, the velocity distribution deviates measurably from a Gaussian, but can be described by P (v) ∼ exp(−|v/v c | 1.5 ) for a large range of parameters where external excitation is sufficiently frequent, in agreement with a recent theory.

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Subharmonic Instabilities and Defects in a Granular Layer under Vertical Vibrations

Cited by 244 publications

References 2 publications

Patterns and collective behavior in granular media: Theoretical concepts

Patterns and collective behavior in granular media: Theoretical concepts

Crystallization of non-Brownian Spheres under Horizontal Shaking

Velocity statistics in excited granular media

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