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Related Experiment Video

Updated: Feb 15, 2026

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
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Dissipation, lag, and drift in driven fluctuating systems.

Diego Frezzato1

  • 1Department of Chemical Sciences, University of Padova, via Marzolo 1, I-35131, Padova, Italy.

Physical Review. E
|January 20, 2018
PubMed
Summary

This study establishes new bounds for thermostated fluctuating systems, linking energy dissipation, system lag, and directed flow properties. These findings advance understanding of stochastic pumps and non-equilibrium thermodynamics.

Area of Science:

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

Background:

  • Thermostated fluctuating systems are crucial for understanding energy conversion and directed motion.
  • Driven transformations in internal energetics lead to non-equilibrium states.
  • Overdamped Markovian fluctuations characterize the diffusive motion in these systems.

Purpose of the Study:

  • To establish mutual bounds between energy dissipation, system lag, and directed flow properties.
  • To extend existing inequalities by incorporating the statistical properties of directed flow.
  • To analyze these bounds for stochastic pumps and non-autonomous dissipative systems.

Main Methods:

  • Formulation of the non-stationary Fokker-Planck equation.

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  • Expression of directed flow using time-dependent drift velocity.
  • Analysis of multidimensional systems with continuous configurational degrees of freedom.
  • Specification of key relations for stochastic pumps, including a 1D model.
  • Main Results:

    • Mutual bounds are established between average energy dissipation, deviation from equilibrium probability density, and directed flow properties.
    • The derived bounds extend the Vaikuntanathan-Jarzynski inequality by including drift velocity.
    • Key relations are specified for stochastic pumps operating in periodic steady states.
    • Complementary bounds between evolution rates of dissipation and lag are presented.

    Conclusions:

    • The study provides a comprehensive framework for understanding energy dissipation and directed motion in driven fluctuating systems.
    • The inclusion of drift velocity offers a more complete description of non-equilibrium dynamics.
    • The findings are particularly relevant for the design and analysis of stochastic pumps and energy converters.