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We derived Langevin dynamics for rigid bodies in chiral active baths, revealing unusual noise-driven relationships and odd transport properties. Chirality induces rotational ratchets and distinct equilibrium descriptions for symmetric objects.

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Area of Science:

  • Physics
  • Soft Matter Physics
  • Statistical Mechanics

Background:

  • Understanding the dynamics of objects in active matter is crucial for designing novel materials and devices.
  • Chiral active baths introduce unique complexities due to their inherent broken time-reversal symmetry.

Purpose of the Study:

  • To derive and analyze the Langevin dynamics of a massive rigid body within a chiral active bath.
  • To investigate the impact of bath chirality on object transport properties and symmetry-dependent effects.
  • To explore the relationship between stochastic trajectories and probability density evolution in chiral environments.

Main Methods:

  • Detailed derivation of Langevin equations for a massive rigid body.
  • Analysis of the Fokker-Planck equation governing probability density evolution.
  • Construction of a multipole expansion (to quadrupolar order) from bath dynamics.

Main Results:

  • Demonstrated an unusual relationship between Langevin and Fokker-Planck equations due to antisymmetric noise.
  • Identified odd diffusivity, odd mobility, and rotational ratchet effects dependent on object symmetries.
  • Showed separate effective equilibrium descriptions for translational and rotational degrees of freedom in rotationally symmetric objects.
  • Predicted far-field bath modulation induced by the object.

Conclusions:

  • Chiral active baths impart unique dynamic behaviors to immersed objects, including odd transport coefficients.
  • Object symmetries play a critical role in determining dynamic responses and effective descriptions.
  • The multipole expansion provides a method to predict the object's influence on the surrounding active bath.