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Odd Diffusivity of Chiral Random Motion.

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Summary
This summary is machine-generated.

This study introduces "odd diffusivity," a key characteristic of chiral active matter, by deriving new Green-Kubo relations. This finding explains complex random motion and has implications for understanding active systems.

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Area of Science:

  • Statistical Mechanics
  • Soft Matter Physics
  • Active Matter Physics

Background:

  • Diffusive transport is typically described by a symmetric diffusivity tensor.
  • Antisymmetric components of the diffusivity tensor are often overlooked.
  • Chiral active matter exhibits random motion that breaks time-reversal and parity symmetries.

Purpose of the Study:

  • To derive Green-Kubo relations for the antisymmetric component of the diffusivity tensor.
  • To introduce and define 'odd diffusivity' as a characteristic of chiral active matter.
  • To demonstrate the emergence and significance of odd diffusivity in physical systems.

Main Methods:

  • Derivation of Green-Kubo relations for diffusive transport.
  • Development of a chiral random walk model to exhibit odd diffusivity.
  • Molecular dynamics simulations of a passive tracer in a chiral active bath.

Main Results:

  • The antisymmetric component of the diffusivity tensor is a general feature of chiral random motion.
  • The derived Green-Kubo relations successfully capture this antisymmetric component, termed odd diffusivity.
  • Simulations confirm the emergence of odd diffusivity in a chiral active bath.

Conclusions:

  • Odd diffusivity is a fundamental property of systems with broken time-reversal and parity symmetries, such as chiral active matter.
  • The Green-Kubo relations provide a powerful tool for quantifying odd diffusivity.
  • This work extends the understanding of transport phenomena in complex, active systems.