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DY: Fachverband Dynamik und Statistische Physik
DY 10: Granular Physics 2 - organized by Matthias Sperl (Köln)
DY 10.4: Talk
Monday, March 22, 2021, 12:00–12:20, DYc
Applying Edwards’ theory for a 2+є dimensional frustrated granular system — •Sára Lévay1, David Fischer2, Ralf Stannarius2, Ellák Somfai3, Tamás Börzsönyi3, Lothar Brendel4, and János Török1,5 — 1Budapest University of Technology and Economics — 2Otto von Guericke University — 3Wigner Research Centre for Physics — 4University of Duisburg-Essen — 5MTA-BME Morphodynamics Research Group
Despite the inherent athermal features of granular materials, treating jammed granular systems in analogy to thermal equilibrium statistical mechanics was proposed by Edwards by using a volume ensemble of equiprobable jammed states. We introduce a simple system to analyze statistical properties of jammed granular ensembles to test Edwards’ theory.
Identical spheres packed in a nearly two-dimensional thin geometrical confinement were studied in experiments and numerical simulations. When tapped, it evolves towards a ground state, but due to incompatible domain structures it gets trapped. Analytical calculations of the Edwards ensemble reproduce well our simulation results, which allows us to test Edwards’ theory on a coupled system of two subsystems with different properties. We find that the joint system can only be described by a common compactivity if the stress equilibrium is also taken into account and the system is treated as a whole. The results show some counterintuitive effects, as the side with more order compactifies.