Clustering, Order, and Collapse in a Driven Granular Monolayer

Abstract

Steady state dynamics of clustering, long range order, and inelastic collapse are experimentally observed in vertically shaken granular monolayers. At large vibration amplitudes, particle correlations show only short range order like equilibrium 2D hard sphere gases. Lowering the amplitude "cools" the system, resulting in a dramatic increase in correlations leading either to clustering or an ordered state. Further cooling forms a collapse: a condensate of motionless balls co-existing with a less dense gas. Measured velocity distributions are non-Gaussian, showing nearly exponential tails.

9 pages of text in Revtex, 5 figures; references added, minor modifications Paper accepted to Phys Rev Letters. Tentatively scheduled for Nov. 9, 1998

References in corpus (1)

• Spatial Correlations in Compressible Granular Flows

Cited by in corpus (140)

• Athermal Phase Separation of Self-Propelled Particles with no Alignment
• Patterns and Collective Behavior in Granular Media: Theoretical Concepts
• Velocity statistics in excited granular media
• Velocity Distributions & Density Fluctuations in a 2D Granular Gas
• Temperature in and out of equilibrium: a review of concepts, tools and attempts
• Randomly Driven Granular Fluids: large scale structure
• Caging dynamics in a granular fluid
• Two-dimensional melting far from equilibrium in a granular monolayer
• Cluster-Growth in Freely Cooling Granular Media
• Non-Gaussian velocity distributions in excited granular matter in the absence of clustering
• Randomly Driven Granular Fluids: collisional statistics and short scale structure
• A kinetic approach to granular gases
• Velocity correlations in dense granular gases
• Forcing and Velocity Correlations in a Vibrated Granular Monolayer
• Collision statistics of driven granular materials
• Transport Coefficients for Granular Media from Molecular Dynamics Simulations
• Velocity distributions in dissipative granular gases
• Non-equilibrium two-phase coexistence in a confined granular layer
• Frozen steady states in active systems
• Two-dimensional Granular Gas of Inelastic Spheres with Multiplicative Driving
• Cluster formation via sonic depletion forces in levitated granular matter
• Propagating front in an excited granular layer
• The dynamics of thin vibrated granular layers
• Ordered clusters and dynamical states of particles in a vibrated fluid
• Velocity Distributions of Granular Gases with Drag and with Long-Range Interactions
• Velocity Fluctuations in Electrostatically Driven Granular Media
• Scaling, Multiscaling, and Nontrivial Exponents in Inelastic Collision Processes
• Fluctuations and Criticality of a Granular Solid-Liquid-like Phase Transition
• Structure factors in granular experiments with homogeneous fluidization
• Dynamics of Vibrated Granular Monolayers
• Granular gases: dynamics and collective effects
• Sudden chain energy transfer events in vibrated granular media
• Crucial role of sidewalls in velocity distributions in quasi-2D granular gases
• Steady state velocity distributions of an oscillated granular gas
• Phase Separation and Coarsening in Electrostatically Driven Granular Media
• Hydrodynamic modes in a confined granular fluid
• Velocity Distribution of a Homogeneously Cooling Granular Gas
• Free Cooling of a Granular Gas in Three Dimensions
• Model of coarsening and vortex formation in vibrated granular rods
• Violation of the Einstein relation in Granular Fluids: the role of correlations
• Nontrivial Velocity Distributions in Inelastic Gases
• Symmetry-breaking instability in a prototypical driven granular gas
• Symmetry breaking and coarsening of clusters in a prototypical driven granular gas
• The Boltzmann equation for driven systems of inelastic soft spheres
• Fluid-like behavior of a one-dimensional granular gas
• Local Equation of State and Velocity Distributions of a Driven Granular Gas
• Coarsening of granular clusters: two types of scaling behaviors
• Stationary states and energy cascades in inelastic gases
• On the Inelastic Collapse of a Ball Bouncing on a Randomly Vibrating Platform
• A driven two-dimensional granular gas with Coulomb friction
• Ordering in granular rod monolayers driven far from thermodynamic equilibrium
• Oscillatory instability in a driven granular gas
• Clustering in vibrated monolayers of granular rods
• Power-law velocity distributions in granular gases
• The rich behavior of the Boltzmann equation for dissipative gases
• Effect of inelasticity on the phase transitions of a thin vibrated granular layer
• Roles of energy dissipation in a liquid-solid transition of out-of-equilibrium systems
• Nonlinear analysis of the shearing instability in granular gases
• Dynamics of electrostatically-driven granular media. Effects of Humidity
• From the granular Leidenfrost state to buoyancy-driven convection
• Low-frequency oscillations in narrow vibrated granular systems
• Giant fluctuations at a granular phase separation threshold
• Granular Collapse as a Percolation Transition
• Far-from-equilibrium Ostwald ripening in electrostatically driven granular powders
• Enskog kinetic theory for a model of a confined quasi-two-dimensional granular fluid
• Quasi-crystalline order in vibrated granular matter
• A sidewall friction driven ordering transition in granular channel flows: Implications for granular rheology
• Entropic Tightening of Vibrated Chains
• Granular clustering in a hydrodynamic simulation
• Stability analysis of the homogeneous hydrodynamics of a model for a confined granular gas
• The partition of energy for air-fluidized grains
• Dynamics of a first order transition to an absorbing state
• Collision Dynamics of Particle Clusters in a Two-dimensional Granular Gas
• Shear viscosity of a model for confined granular media
• Statistical characterization of the forces on spheres in an upflow of air
• Exponential velocity tails in a driven inelastic Maxwell model
• Understanding the instability of a vibrated granular monolayer
• Transition from a dissipative to a quasi-elastic system of particles with tunable repulsive interactions
• Impact of high-energy tails on granular gas properties
• Critical Phenomena in Quasi-Two-Dimensional Vibrated Granular Systems
• Effective two-dimensional model for granular matter with phase separation
• Enhancing (quasi-)long-range order in a two-dimensional driven crystal
• Interplay between an absorbing phase transition and synchronization in a driven granular system
• Memory effects in the relaxation of a confined granular gas
• Topographic control of order in quasi-2D granular phase transitions
• Granular fluid thermostatted by a bath of elastic hard spheres
• Geometry-controlled phase transition in vibrated granular media
• The pseudo-two-dimensional dynamics in a system of macroscopic rolling spheres
• Homogeneous dynamics in a vibrated granular monolayer
• Interplay between polydispersity, inelasticity, and roughness in the freely cooling regime of hard-disk granular gases
• Numerical simulation of vibrated granular gases under realistic boundary conditions
• Experimental observation of gapped shear waves and liquid-like to gas-like dynamical crossover in active granular matter
• Bifurcations of a driven granular system under gravity
• Models of fluidized granular materials: examples of non-equilibrium stationary states
• Non-equilibrium steady states, coexistence and criticality in driven quasi-two-dimensional granular matter
• Diffusivity and Weak Clustering in a Quasi 2D Granular Gas
• Granular gases under extreme driving
• Navier--Stokes transport coefficients for a model of a confined quasi-two-dimensional granular binary mixture
• Experimental characterization of vibrated granular rings
• High-energy velocity tails in uniformly heated granular materials
• Velocity Distribution in a Viscous Granular Gas
• Boltzmann equation for dissipative gases in homogeneous states with nonlinear friction
• Non-equilibrium coexistence between a fluid and a hotter or colder crystal of granular hard disks
• Mean Field theory for a driven granular gas of frictional particles
• Transition to a labyrinthine phase in a driven granular medium
• Dynamics of an inelastic tagged particle under strong confinement
• Asymptotic behavior of the velocity distribution of driven inelastic gas with scalar velocities: analytical results
• The Many Faces of Fluctuation-Dissipation Relations Out of Equilibrium
• Clustering-induced attraction in granular mixtures of rods and spheres
• Phase-coexisting patterns, horizontal segregation and controlled convection in vertically vibrated binary granular mixtures
• Inhomogeneous cooling state of a strongly confined granular gas at low density
• Diffusion of impurities in a moderately dense confined granular gas
• Universal Particle Kinetic Distribution in Crowded Environments
• Self-assembly and non-equilibrium phase coexistence in a binary granular mixture
• Velocity distribution of driven granular gases
• Dynamical and structural properties of an absorbing phase transition: a case study from granular systems
• Spontaneous formation of density waves in granular matter under swirling excitation
• Thermal properties of an impurity immersed in a granular gas of rough hard spheres
• Hydrodynamic granular segregation induced by boundary heating and shear
• Tuning the distance to the equipartition by controlling the collision rate in a driven granular gas experiment
• Zero-gravity thermal convection in granular gases
• A statistical physics viewpoint on the dynamics of the bouncing ball
• Effective potentials in a bidimensional vibrated granular gas
• Wave spectroscopy in a driven granular material
• Granular beads in a vibrating, quasi two-dimensional cell: The true shape of the effective pair potential
• Statistical properties of a granular gas fluidized by turbulent air wakes
• Symmetry breaking and clustering in a vibrated granular gas with several macroscopically connected compartments
• Singular Energy Distributions in Granular Media
• Observing the evaporation transition in vibro-fluidized granular matter
• Ballistic propagation of density correlations and excess wall forces in quenched granular media
• Transport properties in a model of confined granular mixtures at moderate densities
• Phase separation in a chiral active fluid of inertial self-spinning disks
• Visco-rotational shear instability of Keplerian granular flows
• Acoustic resonances in a confined set of macroscopic disks
• Noise induces rare events in granular media
• Inherent thermal convection in a gas inside a box under a gravity field
• Runout transition and clustering instability observed in binary-mixture avalanche deposits
• Diffusion and velocity correlations of the phase transitions in a system of macroscopic rolling spheres
• Knots and Random Walks in Vibrated Granular Chains
• Direct observation of crystal nucleation and growth in a quasi-two-dimensional nonvibrating granular system