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Emergence of rigidity percolation in flowing granular systems
Hor Dashti1,2, Abbas Ali Saberi3,4, S H E Rahbari2
1Australian Institute of Bioengineering and Nanotechnology, The University of Queensland, Brisbane, QLD 4072, Australia.
Flowing granular materials exhibit long-range correlations due to flow rate, impacting force chain structures. Critical exponents show power-law behavior with changing flow rates, revealing new physics in non-equilibrium systems.
Area of Science:
- Soft Matter Physics
- Granular Mechanics
- Non-equilibrium Statistical Mechanics
Background:
- Jammed granular media and glasses display spatial long-range correlations due to mechanical equilibrium.
- The existence of such correlations in flowing matter, where equilibrium is not achieved, remains poorly understood.
Purpose of the Study:
- To investigate the percolation of interparticle forces in flowing granular media.
- To determine if flow rate induces long-range correlations in non-equilibrium granular systems.
Main Methods:
- Numerical simulations of flowing granular media.
- Analytical arguments to support simulation findings.
- Analysis of interparticle force percolation and force chain structures.
Main Results:
- Flow rate introduces effective long-range correlations, acting as a relevant perturbation.
- A crossover flow rate is identified, below which standard rigidity percolation governs.
- Critical exponents exhibit power-law dependence on the flow rate.
Conclusions:
- Flowing granular matter possesses inherent long-range correlations influenced by flow rate.
- The study reveals a transition in universality class as a function of flow rate.
- Findings provide insights into the mechanics and structure of non-equilibrium granular flows.
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