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Area of Science:

  • Physics of complex systems
  • Statistical mechanics
  • Active matter physics

Background:

  • Nonreciprocal interactions are prevalent in active matter but their impact on time reversibility is underexplored in continuum models.
  • Existing studies primarily focus on microscopic models, leaving a gap in understanding macroscopic implications.

Purpose of the Study:

  • To derive a general expression for informational entropy production in mixtures of conserved phase fields with nonreciprocal couplings.
  • To investigate the scaling of entropy production across a parity-time symmetry breaking phase transition in a specific binary system.

Main Methods:

  • Derivation of a general formula for average informational entropy production rate.
  • Analysis of a binary system using Cahn-Hilliard dynamics with nonreciprocal cross-diffusion.
  • Investigation of weak-noise regime to obtain closed-form analytic expressions.

Main Results:

  • A general expression for entropy production in systems with nonreciprocal interactions and noise was derived.
  • A nontrivial scaling of the entropy production rate was observed during a parity-time symmetry breaking phase transition.
  • The entropy production rate was found to be expressible via the global polar order parameter in the weak-noise regime.

Conclusions:

  • Nonreciprocal interactions significantly influence entropy production in active matter systems.
  • The study provides a continuum-level framework for analyzing time reversibility and symmetry breaking.
  • The findings connect macroscopic dynamic phases to fundamental symmetry properties through quantifiable parameters.