Particle dynamics and effective temperature of jammed granular matter in a slowly sheared 3D Couette cell
arXiv:0804.0281 · doi:10.1103/PhysRevE.77.061309
Abstract
We report experimental measurements of particle dynamics on slowly sheared granular matter in a three-dimensional (3D) Couette cell. A closely-packed ensemble of transparent spherical beads is confined by an external pressure and filled with fluid to match both the density and refractive index of the beads. This allows us to track tracer particles embedded in the system and obtain three-dimensional trajectories as a function of time. We study the PDF of the vertical and radial displacements, finding Gaussian and exponential distributions, respectively. For slow shear rates, the mean-square fluctuations in all three directions are found to be dependent only on the angular displacement of the Couette cell. Both the diffusivity and mobility of tracer particles are proportional to the shear rate, giving rise to a constant effective temperature, characteristic of the jammed system.
17 pages, 19 figures
References in corpus (17)
- Energy flow, partial equilibration and effective temperatures in systems with slow dynamics
- Signatures of granular microstructure in dense shear flows
- Breakdown of Energy Equipartition in a 2D Binary Vibrated Granular Gas
- Observing Brownian motion in vibration-fluidized granular matter
- Effective Temperatures of a Driven System Near Jamming
- Self-diffusion in dense granular shear flows
- Edwards measures for powders and glasses
- Entropy and Temperature of a Static Granular Assembly
- Extension of the Fluctuation-Dissipation theorem to the physical aging of a model glass-forming liquid
- Experimental measurement of an effective temperature for jammed granular materials
- Fluctuation-dissipation relation in a sheared fluid
- Dynamic particle tracking reveals the aging temperature of a colloidal glass
- Emergence of macroscopic temperatures in systems that are not thermodynamical microscopically: towards a thermodynamical description of slow granular rheology
- Equilibrium Distribution of the Inherent States and their Dynamics in Glassy Systems and Granular Media
- Thermodynamics and statistical mechanics of frozen systems in inherent states
- Effective Temperatures in Athermal Systems Sheared at Fixed Normal Load
- Glassy dynamics in granular compaction: sand on random graphs
Cited by in corpus (16)
- The Physics of the Colloidal Glass Transition
- The effective temperature
- Annular shear of cohesionless granular materials: from inertial to quasistatic regime
- Non-conservative forces and effective temperatures in active polymers
- Particle motion during the compaction of granular matter
- Active dumbbells: dynamics and morphology in the coexisting region
- Edwards thermodynamics of the jamming transition for frictionless packings: ergodicity test and role of angoricity and compactivity
- MRI investigation of granular interface rheology using a new cylinder shear apparatus
- From force distribution to average coordination number in frictional granular matter
- Quantitative imaging of concentrated suspensions under flow
- Ratio of effective temperature to pressure controls the mobility of sheared hard spheres
- On the micro PIV accuracy and reliability utilizing suspension particles of large, non-Gaussian particle image
- Effective temperatures for single particle system under dichotomous noise
- Air fluidized balls in a background of smaller beads
- Effective temperature of a superfluid flowing in a random potential
- Defining Temperatures of Granular Powders Analogously with Thermodynamics to Understand the Jamming Phenomena