Jamming of three-dimensional prolate granular materials
1Department of Physics, Rochester Institute of Technology, Rochester, New York 14623, USA.
Summary
Long thin rods jam into solid-like states based on particle shape and container size. A dynamic phase diagram shows a transition zone between stick-slip and solid behavior, with distinct fluctuation exponents.
Area of Science:
- Physics
- Materials Science
- Soft Matter Physics
Background:
- Granular materials exhibit complex behaviors, including jamming and phase transitions.
- The jamming of elongated particles is less understood than that of spheres.
- Understanding jamming is crucial for applications ranging from powder flow to seismic activity.
Purpose of the Study:
- To investigate the jamming behavior of long thin rods in response to local perturbations.
- To determine the influence of particle aspect ratio and container size on jamming.
- To characterize the dynamic phase diagram and associated fluctuation spectra.
Main Methods:
- Experimental manipulation of rod aspect ratio and container size.
- Creation of a dynamic phase diagram to map different behaviors.
- Measurement of forces and fluctuation spectra during object pulling.
Main Results:
- Jamming into a solid-like state depends on particle aspect ratio and container size.
- A broad transition region exists between granular stick-slip and solid-like behavior.
- Fluctuation spectra exhibit power-law tails with exponents varying from -2 (stick-slip) to -1 (solid).
- Packing fraction depends on aspect ratio, with an aspect-ratio-independent contact number of approximately 5.25.
Conclusions:
- The jamming of long thin rods is a tunable phenomenon controlled by geometry.
- The observed transition region highlights the coexistence of different dynamic regimes.
- Fluctuation analysis provides insight into the underlying mechanisms of granular friction and rearrangement.
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