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Interacting jammed granular systems.
Sára Lévay1, David Fischer2, Ralf Stannarius2
1Department of Theoretical Physics, Budapest University of Technology and Economics, H-1111 Budapest, Hungary.
Physical Review. E
|May 19, 2021
Summary
This study tests Edwards theory on granular packings using experiments and simulations. Results show coupled systems behave unexpectedly, challenging the theory when analyzed separately.
Area of Science:
- Physics
- Materials Science
- Statistical Mechanics
Background:
- Edwards' model describes granular packing statistics using equiprobable jammed states.
- Experimental validation of Edwards' model has been limited.
- Granular systems exhibit complex behaviors due to jamming and domain structures.
Purpose of the Study:
- To experimentally and numerically test Edwards' model for granular packings.
- To analyze the statistical properties of jammed granular ensembles.
- To investigate the applicability of Edwards' theory to coupled subsystems.
Main Methods:
- Utilized a nearly two-dimensional system of identical spheres under geometrical confinement.
- Employed tapping to evolve the system towards a ground state.
- Performed experimental studies and numerical simulations.
- Conducted analytical calculations to compare with simulation results.
Main Results:
- The coupled system could only be accurately described by Edwards' theory when treated as a single entity due to stress constraints.
- Observed counterintuitive effects where the order parameter change was opposite to predictions based on compactivity.
- Simulation results were well-reproduced by analytical calculations.
Conclusions:
- Edwards' theory requires careful consideration of system coupling and stress constraints for accurate application.
- The study highlights limitations and nuances in applying statistical mechanics models to granular systems.
- Experimental and simulation approaches provide valuable insights into granular packing physics.
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