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Ordering in granular-rod monolayers driven far from thermodynamic equilibrium.

Thomas Müller1, Daniel de las Heras2, Ingo Rehberg1

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Vertically agitated granular rods form ordered tetratic or uniaxial nematic states based on their aspect ratio. This ordering is consistent across experiments and simulations, independent of agitation details.

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Area of Science:

  • Physics
  • Materials Science
  • Soft Matter Physics

Background:

  • Granular materials exhibit complex behaviors under agitation.
  • Understanding orientational order in rod-shaped particles is key to soft matter physics.

Purpose of the Study:

  • To investigate the orientational order of vertically agitated granular-rod monolayers.
  • To compare experimental findings with equilibrium Monte Carlo simulations and density functional theory.

Main Methods:

  • Experimental investigation of granular-rod monolayers under vertical agitation.
  • Quantitative comparison with equilibrium Monte Carlo simulations.
  • Analysis using density functional theory.

Main Results:

  • Short rods form a tetratic state, while long rods form a uniaxial nematic state at high densities.
  • The transition from tetratic to uniaxial order occurs at a length-to-width ratio of approximately 7.3.
  • Observed order is independent of agitation frequency and strength.

Conclusions:

  • The ordering of granular rods shows universal characteristics applicable to both equilibrium and nonequilibrium systems.
  • The specific method of energy input does not significantly influence the self-assembly into ordered states.