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Effective potentials in a bidimensional vibrated granular gas.

Stephanie Velázquez-Pérez1, Gabriel Pérez-Ángel2, Yuri Nahmad-Molinari1

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This study numerically investigates spatial correlations in shaken granular fluids. Decreasing particle restitution enhances correlations, except during resonant bouncing, which also deepens interaction potentials.

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Area of Science:

  • Physics
  • Complex Systems
  • Statistical Mechanics

Background:

  • Granular materials exhibit complex behaviors due to interparticle interactions.
  • Understanding spatial correlations is key to characterizing granular fluid dynamics.
  • Previous studies often focused on static or simpler dynamic states.

Purpose of the Study:

  • To numerically investigate spatial correlations in quasi-two-dimensional granular fluids under vertical shaking.
  • To extract effective interparticle potentials from simulation data.
  • To explore the influence of shaking parameters on granular structure and interactions.

Main Methods:

  • Numerical simulations of granular fluids in a nonstatic steady state.
  • Calculation of pair distribution functions (PDFs).
  • Application of Ornstein-Zernike equation with Percus-Yevick closure to derive effective potentials.
  • Validation using Monte Carlo simulations.

Main Results:

  • Effective potentials were extracted and correlated with granular structures.
  • Decreasing restitution coefficients increased spatial correlations.
  • More dissipative dynamics led to deeper effective potential wells.
  • Resonant bouncing, dependent on shaking and restitution, uniquely enhanced correlations.

Conclusions:

  • Effective potentials accurately capture correlations in shaken granular fluids.
  • Dissipation and resonant phenomena significantly influence granular structure.
  • Resonances arise from synchronized particle motion, impacting effective interactions.