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System-bath approach to rotating Brownian motion.

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Summary
This summary is machine-generated.

This study explores rotating systems using statistical mechanics, revealing long-range correlated noise in Brownian motion. Work extraction is possible only from asymmetric potentials in these non-Gibbsian systems.

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Area of Science:

  • Statistical Mechanics
  • Non-equilibrium Thermodynamics
  • Complex Systems

Background:

  • Rotating systems are common but understudied in statistical mechanics.
  • Existing models often assume non-rotating or simple equilibrium conditions.

Purpose of the Study:

  • Investigate the statistical mechanics of a Brownian particle in a rotating thermal bath.
  • Analyze the emergence of non-Gibbsian states and work extraction possibilities.

Main Methods:

  • Developed a theoretical model of a Brownian particle coupled to rotating harmonic oscillators.
  • Analyzed the Langevin equation for the Brownian particle's dynamics.
  • Examined stationary states under various conditions, including magnetic fields and potentials.

Main Results:

  • Identified long-range correlated noise in the Brownian particle's dynamics due to rotation.
  • Demonstrated that rotating Gibbs distribution is recovered only for weak coupling.
  • Showed that stationary states are non-Gibbsian in a magnetic field, clarifying Bohr-van Leeuwen theorem applicability.
  • Proved that work can be extracted from asymmetric potentials but not from rotationally symmetric ones.

Conclusions:

  • Rotating systems exhibit unique statistical properties deviating from standard equilibrium.
  • Work extraction is constrained by symmetry, offering insights into energy harvesting in dynamic systems.
  • Finite friction prevents centrifugal instability in sedimentation equilibrium.