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Jamming Below Upper Critical Dimension.

Harukuni Ikeda1

  • 1Graduate School of Arts and Sciences, The University of Tokyo, Tokyo 153-8902, Japan.

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This summary is machine-generated.

Investigating jamming transitions in quasi-one-dimensional systems reveals unique behaviors. Unlike higher dimensions, these systems exhibit linear scaling of excess contact number and finite gap distributions at the jamming point.

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Area of Science:

  • Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • Extensive simulations show critical exponents for frictionless spherical particle jamming are dimension-independent in 2D and 3D.
  • This suggests an upper critical dimension (d_u) of 2 or lower for jamming transitions.

Purpose of the Study:

  • To investigate jamming transitions below the upper critical dimension.
  • To study the behavior of a quasi-one-dimensional system (disks in a narrow channel).

Main Methods:

  • Numerical simulations of disks confined in a narrow channel.
  • Analysis of system properties at the jamming transition point.

Main Results:

  • The quasi-one-dimensional system is isostatic at the jamming transition, similar to bulk systems.
  • Excess contact number exhibits linear scaling, deviating from bulk systems.
  • The gap distribution remains finite at the jamming transition, unlike in 2D and 3D bulk systems.

Conclusions:

  • Jamming transitions in quasi-one-dimensional systems show distinct characteristics compared to 2D and 3D bulk systems.
  • The observed linear scaling and finite gap distribution highlight the influence of dimensionality on jamming phenomena.