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David Luposchainsky1, Andre Cardoso Barato, Haye Hinrichsen

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We developed a detailed fluctuation theorem for external entropy production in non-equilibrium systems. This theorem holds for systems with constant rates and arbitrary initial distributions, offering insights into temperature quenches.

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Area of Science:

  • Thermodynamics
  • Statistical Mechanics
  • Non-equilibrium Physics

Background:

  • Fluctuation theorems are crucial for understanding non-equilibrium thermodynamics.
  • Existing theorems often have limitations regarding initial conditions or system dynamics.

Purpose of the Study:

  • To present a novel finite-time detailed fluctuation theorem for external entropy production.
  • To explore the theorem's applicability to classical equilibrium systems undergoing temperature quenches.
  • To numerically validate the theorem using specific physical models.

Main Methods:

  • Derivation of a fluctuation theorem for external entropy production: P̃(ΔS(env))=e(ΔS(env))P̃(-ΔS(env)).
  • Analysis of the theorem's implications for temperature quench scenarios in equilibrium systems.
  • Numerical simulations of a six-state Markov jump process and a surface growth model.

Main Results:

  • A generalized fluctuation theorem for external entropy production was established.
  • The theorem is valid for non-equilibrium systems with constant rates and any initial distribution.
  • Numerical tests confirmed the theorem's accuracy for the tested models.

Conclusions:

  • The presented fluctuation theorem provides a robust framework for analyzing entropy production in non-equilibrium systems.
  • The study demonstrates the theorem's relevance to understanding thermal processes like temperature quenches.
  • Numerical validation supports the theorem's broad applicability in statistical physics.