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Area of Science:

  • Statistical Mechanics
  • Soft Matter Physics
  • Theoretical Physics

Background:

  • Interacting Brownian particles are fundamental in statistical mechanics.
  • Understanding particle behavior in nonequilibrium environments is crucial.
  • Microscopic theories often lack mesoscopic predictive power.

Purpose of the Study:

  • To establish a mesoscopic theory for interacting Brownian particles.
  • To characterize effective interactions and environmental noise.
  • To demonstrate the breakdown of fundamental physical relations in nonequilibrium systems.

Main Methods:

  • Derivation from microscopic interacting many-body theory.
  • Application of nonequilibrium linear-response theory.
  • Integration of fast degrees of freedom to obtain mesoscopic descriptions.

Main Results:

  • Characterization of effective dynamical interactions at the mesoscopic scale.
  • Quantification of nonequilibrium environmental noise statistics.
  • Demonstration of the breakdown of fluctuation-dissipation and action-reaction relations.

Conclusions:

  • The developed mesoscopic theory accurately describes particle dynamics in nonequilibrium environments.
  • Nonequilibrium conditions fundamentally alter particle interactions and response relations.
  • The findings are exemplified by active Brownian particles and stirred colloids.