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Periodically driven harmonic Langevin systems.

Shakul Awasthi1, Sreedhar B Dutta1

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Physical Review. E
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PubMed
Summary
This summary is machine-generated.

We analyzed periodically driven thermodynamic systems, specifically Brownian particles in harmonic potentials. Our research provides exact asymptotic distributions and explores energy dynamics, entropy, and system responses under driving.

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Area of Science:

  • Thermodynamics
  • Statistical Mechanics
  • Nonlinear Dynamics

Background:

  • Periodically driven thermodynamic systems exhibit complex asymptotic behaviors.
  • Understanding these behaviors is crucial for fields like statistical mechanics and nonlinear dynamics.
  • Brownian motion in potentials is a fundamental model for studying thermodynamic processes.

Purpose of the Study:

  • To investigate the asymptotic behavior of periodically driven thermodynamic systems.
  • To analyze overdamped and underdamped Brownian particles in harmonic potentials under periodic driving.
  • To explore the dynamics of energy, entropy, and system responses.

Main Methods:

  • Nonperturbative treatment of periodic driving.
  • Exploitation of SL(2) symmetry for the underdamped case.
  • Calculation of asymptotic distributions and two-time correlation functions.

Main Results:

  • Obtained near-exact asymptotic distributions for driven Brownian particles.
  • Characterized the asymptotic state, energy, and entropy dynamics in the underdamped case.
  • Investigated system responses to perturbations in drift and diffusion coefficients.

Conclusions:

  • The study provides a comprehensive understanding of asymptotic behaviors in driven thermodynamic systems.
  • The methods developed are applicable to a broader range of periodically driven systems.
  • The findings offer insights into the fundamental properties of driven Brownian motion.