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Active uniaxially ordered suspensions on disordered substrates.

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Quenched disorder in active suspensions affects polar phases, maintaining long-range order with unusual fluctuations. Apolar phases exhibit short-range order, with fluctuations intensifying alongside activity.

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Area of Science:

  • Physics
  • Soft Matter Physics
  • Statistical Mechanics

Background:

  • Previous theories explored polar and apolar active phases in confined geometries.
  • Experimental active systems often contain quenched random disorder from substrates, potentially obscuring theoretical predictions.
  • Understanding disorder's impact is crucial for interpreting experimental results in active matter.

Purpose of the Study:

  • To investigate the effect of quenched orientational disorder on the phase behavior of polar and apolar active suspensions on substrates.
  • To differentiate the ordering and fluctuation dynamics between polar and apolar systems under disorder.

Main Methods:

  • Theoretical analysis of active suspensions subjected to quenched orientational disorder.
  • Focus on two-dimensional systems confined on substrates.
  • Comparison of polar and apolar suspension behaviors.

Main Results:

  • Polar active suspensions exhibit long-range order in two dimensions, characterized by anomalous number fluctuations.
  • Apolar active suspensions display only short-range order.
  • Apolar systems show increased number fluctuations compared to disordered active nematics, with correlation length dependent on activity.

Conclusions:

  • Quenched disorder significantly alters the phase behavior of active suspensions.
  • Polar suspensions retain long-range order despite disorder, but with modified fluctuation properties.
  • The findings provide a framework for interpreting experiments on disordered active matter systems.