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Force percolation transition of jammed granular systems
Sudhir N Pathak1, Valentina Esposito2, Antonio Coniglio3
1Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, 637371 Singapore.
Physical Review. E
|January 20, 2018
Summary
Jammed materials
Area of Science:
- Physics
- Materials Science
- Statistical Mechanics
Background:
- Mechanical and transport properties of jammed materials arise from force networks between grains.
- Understanding these force networks is crucial for predicting material behavior.
Purpose of the Study:
- Investigate the force-percolation transition in jammed materials.
- Determine the universality class of the force-percolation transition.
- Analyze the relationship between force percolation and the jamming transition.
Main Methods:
- Extensive computational simulations were employed.
- Defined a force-percolation transition where interparticle forces exceeding a threshold create links.
- Utilized combined size and pressure scaling analysis.
Main Results:
- The force-percolation transition belongs to the random percolation universality class.
- Long-range correlations between forces were ruled out.
- The continuous force percolation transition evolves into a discontinuous jamming transition at zero pressure.
- The critical region's size scales with pressure.
Conclusions:
- The force network's critical behavior is governed by random percolation.
- Jamming transition is a pressure-dependent evolution of the force-percolation transition.
- Provides a framework for understanding mechanical properties of granular materials.
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