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Flux Hypothesis for Odd Transport Phenomena.

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We generalized Onsager's regression hypothesis to include odd transport phenomena. This new "flux hypothesis" explains macroscopic laws from microscopic fluctuations, revealing roles of broken symmetries in active matter transport.

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Area of Science:

  • Statistical Mechanics
  • Non-equilibrium Thermodynamics
  • Active Matter Physics

Background:

  • Onsager's regression hypothesis connects macroscopic transport to microscopic fluctuation relaxation.
  • This hypothesis does not account for odd transport phenomena where fluxes are orthogonal to gradients.
  • Odd transport is crucial in systems with broken time-reversal and parity symmetries.

Purpose of the Study:

  • To generalize Onsager's regression hypothesis to encompass odd transport phenomena.
  • To establish a theoretical framework explaining macroscopic constitutive laws from microscopic behavior.
  • To elucidate the fundamental symmetries governing odd transport coefficients.

Main Methods:

  • Postulation of a generalized regression hypothesis, termed the "flux hypothesis."
  • Derivation of Green-Kubo and reciprocal relations from the flux hypothesis.
  • Application to chiral active matter, including analytical models and molecular dynamics simulations.

Main Results:

  • The flux hypothesis successfully incorporates odd transport phenomena.
  • Green-Kubo and reciprocal relations derived from the flux hypothesis clarify symmetry roles.
  • The Green-Kubo relation for odd collective diffusion in chiral active matter was derived and verified.

Conclusions:

  • The flux hypothesis provides a unified framework for understanding transport phenomena, including odd transport.
  • Broken time-reversal and parity symmetries are key to understanding odd transport coefficients.
  • The findings offer insights into the collective behavior of active matter systems.