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Athermal Fluctuations in Disordered Crystals.

Pappu Acharya1, Surajit Sengupta1, Bulbul Chakraborty2

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Summary
This summary is machine-generated.

Athermal jammed soft particle systems exhibit constrained force fluctuations, differing from thermal systems. These fluctuations arise from local force balance and lead to non-Gaussian distributions.

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Area of Science:

  • Soft matter physics
  • Statistical mechanics
  • Disordered systems

Background:

  • Athermal systems of jammed soft particles are relevant to granular materials and foams.
  • Understanding particle interactions and fluctuations is key to predicting material properties.
  • Disordered crystals present unique challenges compared to ordered crystalline structures.

Purpose of the Study:

  • To analyze particle position and interparticle force fluctuations in weakly disordered jammed soft crystals.
  • To differentiate the behavior of athermal systems from their thermal counterparts.
  • To develop theoretical tools for predicting properties of these complex systems.

Main Methods:

  • Disorder perturbation expansion in polydispersity about the crystalline state.
  • Derivation of exact results to linear order.
  • Numerical simulations using soft disks with one-sided harmonic interactions.

Main Results:

  • Identified constrained fluctuations of forces perpendicular to lattice directions in athermal systems.
  • Demonstrated that these constrained fluctuations stem from local force balance conditions.
  • Derived exact non-Gaussian force distributions.
  • Analytically predicted scaling of average coordination with polydispersity and packing fraction, verified by simulations.

Conclusions:

  • Athermal jammed soft crystals exhibit distinct fluctuation behaviors compared to thermal systems.
  • Local force balance dictates constrained fluctuations and non-Gaussian distributions.
  • The developed theoretical framework accurately predicts key system properties.