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Area of Science:

  • Soft matter physics
  • Statistical mechanics
  • Active matter systems

Background:

  • Active Brownian particles (ABPs) are fundamental models for self-propelled entities.
  • Understanding particle interactions in confined or structured environments is crucial.
  • Permeable inclusions introduce complex boundary conditions in active systems.

Purpose of the Study:

  • Investigate steady-state properties of active Brownian particles around two permeable disklike inclusions.
  • Analyze how discontinuous motility fields affect particle distribution and inter-inclusion interactions.
  • Characterize the nature of effective interactions (repulsive/attractive) mediated by the active bath.

Main Methods:

  • Simulations of active Brownian particles in two dimensions.
  • Modeling of permeable inclusions with differing interior/exterior motility strengths.
  • Analysis of spatial particle distributions and derived effective interaction potentials.

Main Results:

  • Discontinuous motility fields significantly alter ABP spatial distribution.
  • Effective interactions between inclusions are mediated by ABP interfacial repulsions.
  • Both repulsive and attractive interaction regimes were identified and mapped in phase diagrams.

Conclusions:

  • Permeable inclusions with spatially varying motility create tunable interactions in active matter systems.
  • The interplay between particle activity, inclusion properties, and geometry dictates emergent collective behaviors.
  • Phase diagrams provide a comprehensive overview of interaction regimes in this active particle system.