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Jamming as a Multicritical Point.

Danilo B Liarte1, Xiaoming Mao2, Olaf Stenull3

  • 1Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853, USA.

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|April 13, 2019
PubMed
Summary
This summary is machine-generated.

The jamming transition in sphere packings shows a sharp increase in bulk modulus (B) due to a critical contact network. Lattice models reveal this transition as a multicritical point related to rigidity percolation.

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Area of Science:

  • Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • The jamming transition in disordered materials exhibits a discontinuous jump in bulk modulus (B).
  • This jump is attributed to the formation of a critical contact network that provides resistance to compression.

Purpose of the Study:

  • To investigate the relationship between jamming transitions and rigidity percolation.
  • To develop lattice models that accurately describe the jamming phenomenon.

Main Methods:

  • Introduction of lattice models with undercoordinated spring lattices.
  • Addition of next-nearest-neighbor springs to these lattices.
  • Analysis of the jamming transition as a multicritical point.

Main Results:

  • The jamming transition emerges as a multicritical point in the lattice models.
  • This transition terminates a line of rigidity-percolation transitions.
  • Replacing undercoordinated lattices with the critical jamming network accurately describes jamming and its link to rigidity percolation.

Conclusions:

  • The study provides a faithful description of jamming and its connection to rigidity percolation.
  • Lattice models offer a valuable framework for understanding the mechanics of jamming transitions.