Equilibrium mappings in polar-isotropic confined active particles

Area of Science:

• Physics
• Soft Matter Physics
• Statistical Mechanics

Background:

• Active systems exhibit nonequilibrium behavior.
• Polar-isotropic active systems are often analyzed using equilibrium mapping techniques.
• Understanding the limits of these techniques is crucial for active matter research.

Purpose of the Study:

• To investigate the validity of equilibrium mapping techniques for polar-isotropic active systems confined by arbitrary hard walls.
• To examine equilibrium signatures like free energy and dynamics independence at the one-particle level.
• To identify how boundary geometry influences system behavior.

Main Methods:

• Analysis of polar-isotropic active particles confined by hard walls.
• Examination of one-particle density profiles.
• Investigation of the dependence of density profiles on microscopic dynamics and boundary geometry.

Main Results:

• Equilibrium mapping techniques are generally effective for these systems.
• Boundaries with concave regions lead to density profiles that depend strongly on microscopic dynamics.
• These concave boundaries introduce nonlocal dependencies on the confining geometry.

Conclusions:

• The presence of concave boundaries in confinement limits the applicability of equilibrium mapping techniques for polar-isotropic active systems.
• System behavior near complex boundaries is not always independent of microscopic details.
• Further research is needed to develop appropriate methods for such systems.