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Unjamming in models with analytic pairwise potentials.

Stefan Kooij1,2, Edan Lerner1

  • 1Institute for Theoretical Physics, University of Amsterdam, Science Park 904, Amsterdam, Netherlands.

Physical Review. E
|July 16, 2017
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Summary
This summary is machine-generated.

This study explores soft repulsive particle systems without sharp interaction cutoffs, revealing they exhibit key unjamming transition features. This work offers a way to estimate proximity to unjamming in generic glass-forming models.

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Area of Science:

  • Soft condensed matter physics
  • Statistical mechanics
  • Materials science

Background:

  • Canonical models for unjamming use potentials with sharp cutoffs, simplifying analysis via coordination number.
  • Potentials without sharp cutoffs are less studied but crucial for understanding unjamming in realistic systems.

Purpose of the Study:

  • Investigate unjamming phenomena in systems with continuous pairwise potentials (inverse power law and exponential decay).
  • Determine the relevance of unjamming in systems lacking sharp interaction cutoffs.
  • Establish predictive relationships for unjamming transition observables.

Main Methods:

  • Simulations of soft repulsive particles with inverse power law and exponentially decaying potentials.
  • Analysis of characteristic unjamming transition features: shear-to-bulk modulus ratio and vibrational modes.
  • Relating pressure-to-bulk modulus ratio to distance from unjamming.

Main Results:

  • Both model systems display hallmarks of the unjamming transition, including vanishing shear-to-bulk modulus ratio.
  • An excess of low-frequency vibrational modes was observed, characteristic of jamming/unjamming transitions.
  • A quantitative relationship between pressure-to-bulk modulus ratio and proximity to unjamming was established.

Conclusions:

  • Unjamming phenomenology is relevant even for systems without sharp interaction cutoffs.
  • The study provides a method to estimate proximity to unjamming in generic glass-forming models.
  • Nonaffine contributions to the bulk modulus appear generally irrelevant for unjamming.