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Mechanical systems are analogous to to electrical networks where springs and masses play similar roles to inductors and capacitors, respectively. A viscous damper in mechanical systems functions similarly to a resistor in electrical networks, dissipating energy. The forces acting on a mass in such systems include an applied force in the direction of motion, counteracted by forces from the spring, a viscous damper, and the mass's acceleration. This interplay of forces is mathematically described...
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The first jamming crossover: geometric and mechanical features.

Massimo Pica Ciamarra1, Peter Sollich

  • 1CNR-SPIN, Dipartimento di Scienze Fisiche, UniversitĂ  di Napoli Federico II, I-80126, Napoli, Italy. massimo.picaciamarra@spin.cnr.it

The Journal of Chemical Physics
|April 6, 2013
PubMed
Summary
This summary is machine-generated.

The jamming transition in disordered systems shows density anomalies linked to structural changes. These jamming crossovers reveal force network rearrangements, system softening, and altered normal mode properties.

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Area of Science:

  • Physics
  • Statistical Mechanics
  • Soft Matter

Background:

  • The jamming transition describes athermal systems with repulsive potentials.
  • Jamming crossovers occur at higher densities as particles contact subsequent shells.
  • Finite temperature leads to density anomalies like diffusivity and negative thermal expansion.

Purpose of the Study:

  • To elucidate structural changes at jamming crossovers.
  • To investigate mechanical property evolution with volume fraction.
  • To link density anomalies to structural rearrangements.

Main Methods:

  • Investigating structural evolution from jamming transition to beyond the first crossover.
  • Analyzing mechanical properties as a function of volume fraction.
  • Examining force network rearrangements and normal mode properties.

Main Results:

  • The first jamming crossover occurs at a defined volume fraction.
  • This crossover induces force network rearrangement and system softening.
  • Qualitative changes are observed in normal mode density of states and vector properties.

Conclusions:

  • Jamming crossovers are associated with significant structural rearrangements.
  • These structural changes explain observed dynamic and thermodynamic density anomalies.
  • Understanding these crossovers provides insight into the behavior of disordered systems.