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Thermokinetic relations.

Jean-Charles Delvenne1, Gianmaria Falasco2

  • 1Institute of Information and Communication Technologies, Electronics and Applied Mathematics, UCLouvain, 1348 Louvain-La-Neuve, Belgium.

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New thermokinetic relations bound entropy production in physical systems. These bounds offer improved insights for non-equilibrium systems and generalize speed limits for complex processes.

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Area of Science:

  • Thermodynamics
  • Statistical Mechanics
  • Non-equilibrium Physics

Background:

  • Thermokinetic relations link thermodynamic quantities (e.g., entropy production) with kinetic observables.
  • Existing relations often focus on stationary systems or specific kinetic measures.

Purpose of the Study:

  • Introduce novel thermokinetic relations for overdamped Markov jump processes.
  • Extend bounds to time-varying rates and nonstationary distributions.
  • Explore implications for driving systems between probability distributions.

Main Methods:

  • Derivation of thermokinetic bounds for entropy production.
  • Analysis of stationary and nonstationary Markov jump processes.
  • Investigation of fluctuation-dissipation relations.

Main Results:

  • A new bound for entropy production in Markov jump processes, applicable to nonstationary cases.
  • For stationary systems, a tighter bound than traditional thermodynamic uncertainty relations.
  • A discovered tradeoff between nonadiabatic and housekeeping entropy production during system driving.
  • Generalization of classical speed limits using trajectory observables.

Conclusions:

  • The introduced thermokinetic relations provide powerful tools for analyzing non-equilibrium systems.
  • These bounds offer new perspectives on efficiency and limitations in driven systems.
  • The findings have potential applications in biophysics and computational devices.