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Jamming by shape in kinetically constrained models.

Eial Teomy1, Yair Shokef1

  • 1School of Mechanical Engineering, Tel Aviv University, Tel Aviv 69978, Israel.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 16, 2014
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Summary
This summary is machine-generated.

System shape influences jamming density in kinetically constrained models. Changing shape can induce jamming, altering particle correlation length from infinite to finite.

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Area of Science:

  • Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • Kinetically constrained models (KCMs) are crucial for understanding glassy dynamics.
  • Jamming, the transition to a rigid state, is a key phenomenon in dense particle systems.
  • Previous studies often focused on spherical or simple geometries.

Purpose of the Study:

  • To derive critical density expressions for jamming in arbitrary-shaped hyper-rhomboid systems.
  • To investigate the impact of system shape on jamming phenomena within KCMs.
  • To analyze the correlation length of jammed particles as a function of system geometry.

Main Methods:

  • Derivation of analytical expressions for critical jamming density.
  • Application to Kob-Andersen and Fredrickson-Andersen KCMs.
  • Analysis of hyper-rhomboid systems in arbitrary dimensions.

Main Results:

  • Critical density for jamming is dependent on system shape, even with constant volume and particle density.
  • Jamming can be induced solely by altering the system's geometry.
  • A transition in correlation length (infinite to finite) is observed with changes in system shape.

Conclusions:

  • System geometry is a critical factor in jamming phenomena within KCMs.
  • Shape-induced jamming provides a new perspective on rigidity transitions in disordered systems.
  • The findings have implications for understanding the behavior of granular materials and glasses.