Fluctuation relations for driven coupled classical two-level systems

Abstract

We theoretically investigate fluctuation relations in a classical incomplete measurement process where just partial information is available. The scenario we consider consists of two coupled single-electron boxes where one or both devices can undergo a non-equilibrium transformation according to a chosen protocol. The entropy production of only one of the two boxes is recorded and fluctuation relations for this quantity are put to a test, showing strong modifications whose nature depends upon the specific case study.

8 pages, 6 figures

References in corpus (19)

• A nonequilibrium equality for free energy differences
• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
• Dynamical Ensembles in Nonequilibrium Statistical Mechanics
• Entropy production along a stochastic trajectory and an integral fluctuation theorem
• Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies
• Generalized Jarzynski Equality under Nonequilibrium Feedback Control
• Experimental realization of a Szilard engine with a single electron
• Stochastic thermodynamics under coarse-graining
• Thermodynamics of a Colloidal Particle in a Time-Dependent Non-Harmonic Potential
• Experimental study of mutual information in a Maxwell Demon
• Test of Jarzynski and Crooks fluctuation relations in an electronic system
• Fluctuation Theorem for Partially-masked Nonequilibrium Dynamics
• Distribution of Entropy Production in a Single-Electron Box
• Statistics of the dissipated energy in driven single-electron transitions
• Free energy inference from partial work measurements in small systems
• Fine-structured large deviations and the fluctuation theorem: Molecular motors and beyond
• Work, free energy and dissipation in voltage driven single-electron transitions
• Dissipated work and fluctuation relations for non-equilibrium single-electron transitions

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• Thermodynamic fingerprints of non-Markovianity in a system of coupled superconducting qubits
• Hidden slow degrees of freedom and fluctuation theorems: an analytically solvable model
• Fluctuations of Entropy Production in Partially Masked Electric Circuits: Theoretical Analysis
• An estimator of entropy production for partially accessible Markov networks based on the observation of blurred transitions
• Fluctuation theorem for entropy production of a partial system in the weak coupling limit
• Conditional fluctuation theorems and entropy production for monitored quantum systems under imperfect detection
• Partial entropy production in heat transport
• Dissipation at limited resolutions: Power law and detection of hidden dissipative scales
• Role of topology in determining the precision of a finite thermometer
• Entropy production for partially observed harmonic systems
• All-thermal reversal of heat currents using qutrits
• Transport fluctuation relations in interacting quantum pumps
• Analysis of the conditional average and conditional variance of dissipated energy in the driven spin-boson model