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Detailed Fluctuation Theorems: A Unifying Perspective.

Riccardo Rao1, Massimiliano Esposito1,2

  • 1Complex Systems and Statistical Mechanics, Physics and Materials Science Research Unit, University of Luxembourg, L-1511 Luxembourg, Luxembourg.

Entropy (Basel, Switzerland)
|December 3, 2020
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Summary
This summary is machine-generated.

Researchers developed a general method to identify fluctuating quantities that obey detailed fluctuation theorems in time-inhomogeneous Markovian jump processes. This work unifies existing fluctuation theorems and connects them to physical observables via stochastic thermodynamics.

Keywords:
Markov jump processconservation lawsentropy productionfluctuation theoremgraph theorystochastic thermodynamics

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Area of Science:

  • Statistical Mechanics
  • Non-equilibrium Thermodynamics
  • Stochastic Processes

Background:

  • Fluctuation theorems are crucial for understanding non-equilibrium systems.
  • Existing theorems often apply to specific models or conditions.
  • A unified framework is needed for broader applicability.

Purpose of the Study:

  • To develop a general method for identifying fluctuating quantities satisfying detailed fluctuation theorems.
  • To provide a unified perspective on various fluctuation theorems.
  • To connect these quantities to physical observables using stochastic thermodynamics.

Main Methods:

  • Analysis of time-inhomogeneous Markovian jump processes.
  • Application of stochastic thermodynamics principles.
  • Derivation of a general framework for fluctuation theorems.

Main Results:

  • Identification of an arbitrary number of fluctuating quantities.
  • Demonstration that these quantities satisfy detailed fluctuation theorems for all times.
  • Expression of fluctuating quantities in terms of physical observables.

Conclusions:

  • The presented method offers a unified approach to fluctuation theorems.
  • The framework is applicable to a wide range of time-inhomogeneous Markovian systems.
  • This work bridges theoretical concepts with measurable physical quantities.