Detailed Fluctuation Theorems: A Unifying Perspective

Abstract

We present a general method to identify an arbitrary number of fluctuating quantities which satisfy a detailed fluctuation theorem for all times within the framework of time-inhomogeneous Markovian jump processes. In doing so we provide a unified perspective on many fluctuation theorems derived in the literature. By complementing the stochastic dynamics with a thermodynamic structure (i.e. using stochastic thermodynamics), we also express these fluctuating quantities in terms of physical observables.

arXiv commentrevtex format: 17 pages (12 + 5 for appendices), 7 figures, 3 tables. v2: published version, added an example

References in corpus (37)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
• Entropy production along a stochastic trajectory and an integral fluctuation theorem
• Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
• Equilibrium free energy differences from nonequilibrium measurements: a master equation approach
• Colloquium. Quantum Fluctuation Relations: Foundations and Applications
• Path ensembles averages in systems driven far-from-equilibrium
• Steady State Thermodynamics of Langevin Systems
• Three detailed fluctuation theorems
• Stochastic thermodynamics under coarse-graining
• Fluctuation theorems for stochastic dynamics
• Ensemble and Trajectory Thermodynamics: A Brief Introduction
• The Three Faces of the Second Law: I. Master Equation Formulation
• Three-Terminal Energy Harvester with Coupled Quantum Dots
• Thermodynamics of a physical model implementing a Maxwell demon
• The Physical Origins of Entropy Production, Free Energy Dissipation and their Mathematical Representations
• Fluctuation theorem for currents and Schnakenberg network theory
• Stochastic thermodynamics of chemical reaction networks
• Integral fluctuation theorem for the housekeeping heat
• Dissipation and lag in irreversible processes
• Entropy fluctuation theorems in driven open systems: application to electron counting statistics
• Effective thermodynamics for a marginal observer
• Two refreshing views of Fluctuation Theorems through Kinematics Elements and Exponential Martingale
• Conservation Laws shape Dissipation
• Conservation Laws and Work Fluctuation Relations in Chemical Reaction Networks
• Detection of single-electron heat transfer statistics
• Nonequilibrium thermodynamics as a gauge theory
• Unifying approach for fluctuation theorems from joint probability distributions
• Classical stochastic dynamics and continuous matrix product states: gauge transformations, conditioned and driven processes, and equivalence of trajectory ensembles
• Conservation laws and symmetries in stochastic thermodynamics
• Joint probability distributions and fluctuation theorems
• Exact fluctuation theorem without ensemble quantities
• Transient fluctuation theorems for the currents and initial equilibrium ensembles
• Inflow rate, a time-symmetric observable obeying fluctuation relations
• Infinite family of second-law-like inequalities
• Cycle/cocycle oblique projections on oriented graphs
• Inequalities generalizing the second law of thermodynamics for transitions between non-stationary states

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• Thermodynamic Uncertainty Relations for Bosonic Otto Engines
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• Efficiency fluctuations of stochastic machines undergoing a phase transition
• Local detailed balance across scales: from diffusions to jump processes and beyond
• Emergent second law for non-equilibrium steady states
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• Hierarchical structure of fluctuation theorems for a driven system in contact with multiple heat reservoirs
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• Time-Energy and Time-Entropy Uncertainty Relations in Nonequilibrium Quantum Thermodynamics under Steepest-Entropy-Ascent Nonlinear Master Equations
• A convenient Keldysh contour for thermodynamically consistent perturbative and semiclassical expansions
• The Physics of Learning
• Time-reversal symmetric Crooks and Gallavotti-Cohen fluctuation relations in driven classical Markovian systems
• Stochastic Thermodynamics of Learning Parametric Probabilistic Models
• Inferring entropy production rate from partially observed Langevin dynamics under coarse-graining
• Demon with dementia - the deterioration of information transcription
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