Entropy fluctuation theorems in driven open systems: application to electron counting statistics
arXiv:0707.0962 · doi:10.1103/PhysRevE.76.031132
Abstract
The total entropy production generated by the dynamics of an externally driven systems exchanging energy and matter with multiple reservoirs and described by a master equation is expressed as the sum of three contributions, each corresponding to a distinct mechanism for bringing the system out of equilibrium: nonequilibrium initial conditions, external driving, and breaking of detailed balance. We derive three integral fluctuation theorems (FTs) for these contributions and show that they lead to the following universal inequality: an arbitrary nonequilibrium transformation always produces a change in the total entropy production greater or equal than the one produced if the transformation is done very slowly (adiabatically). Previously derived fluctuation theorems can be recovered as special cases. We show how these FTs can be experimentally tested by performing the counting statistics of the electrons crossing a single level quantum dot coupled to two reservoirs with externally varying chemical potentials. The entropy probability distributions are simulated for driving protocols ranging from the adiabatic to the sudden switching limit.
Version accepted in Phys. Rev. E
References in corpus (8)
- Quantum master equation for electron transport through quantum dots and single molecules
- Path-integral analysis of fluctuation theorems for general Langevin processes
- Integral fluctuation theorem for the housekeeping heat
- Measurement of Stochastic Entropy Production
- Fluctuation theorem for counting-statistics in electron transport through quantum junctions
- Theory for transport through a single magnetic molecule: Endohedral N@C60
- Fluctuation theorem for the effusion of an ideal gas
- Full Counting Statistics for a Single-Electron Transistor, Non-equilibrium Effects at Intermediate Conductance
Cited by in corpus (95)
- Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
- Universality of efficiency at maximum power
- Three detailed fluctuation theorems
- Stochastic thermodynamics under coarse-graining
- Second law and Landauer principle far from equilibrium
- The Three Faces of the Second Law: I. Master Equation Formulation
- Thermoelectric efficiency at maximum power in a quantum dot
- Nonequilibrium Thermodynamics of Chemical Reaction Networks: Wisdom from Stochastic Thermodynamics
- The Three Faces of the Second Law: II. Fokker-Planck Formulation
- The Physical Origins of Entropy Production, Free Energy Dissipation and their Mathematical Representations
- Fluctuation theorem for currents in open quantum systems
- Quantum Trajectory Approach to the Stochastic Thermodynamics of a Forced Harmonic Oscillator
- Entropy production in full phase space for continuous stochastic dynamics
- Reaching optimal efficiencies using nano-sized photo-electric devices
- Universal theory of efficiency fluctuations
- Finite time thermodynamics for a single level quantum dot
- Quantum work relations and response theory
- Non-equilibrium thermodynamics of stochastic systems with odd and even variables
- Geometrical Expression of Excess Entropy Production
- Analysis of slow transitions between nonequilibrium steady states
- Conservation Laws shape Dissipation
- Conservation Laws and Work Fluctuation Relations in Chemical Reaction Networks
- Mesoscopic Kinetic Basis of Macroscopic Chemical Thermodynamics: A Mathematical Theory
- Continuous time random walk for open systems: Fluctuation theorems and counting statistics
- Stochastic thermodynamics of rapidly driven systems
- Level 2 large deviation functionals for systems with and without detailed balance
- Modified Fluctuation-dissipation theorem for non-equilibrium steady-states and applications to molecular motors
- Entropy production in systems with unidirectional transitions
- Dissipation, Generalized Free Energy, and a Self-consistent Nonequilibrium Thermodynamics of Chemically Driven Open Subsystems
- Nonequilibrium Thermodynamic Formalism of Nonlinear Chemical Reaction Systems with Waage-Guldberg's Law of Mass Action
- Mathematical Formalism of Nonequilibrium Thermodynamics for Nonlinear Chemical Reaction Systems with General Rate Law
- Modified fluctuation-dissipation theorem near non-equilibrium states and applications to the Glauber-Ising chain
- Macroscopic Stochastic Thermodynamics
- Quantum Thermodynamics with Degenerate Eigenstate Coherences
- Numerically exact counting statistics of energy current in the Kondo regime
- Efficiency fluctuations of stochastic machines undergoing a phase transition
- Exact fluctuation theorem without ensemble quantities
- Detailed Fluctuation Theorems: A Unifying Perspective
- Nonconvexity of the relative entropy for Markov dynamics: A Fisher information approach
- Time reversibility and nonequilibrium thermodynamics of second-order stochastic processes
- Work measurement in an optomechanical quantum heat engine
- Martingale theory for housekeeping heat
- Uncertainty relations and fluctuation theorems for Bayes nets
- Revealing strong correlations in higher order transport statistics: a noncrossing approximation approach
- Non-adiabatic effect on the quantum heat flux control
- Approach to equilibrium and non-equilibrium stationary distributions of interacting many-particle systems that are coupled to different heat baths
- Stochastic thermodynamics of all-to-all interacting many-body systems
- Modulated two-level system : Exact work statistics
- Fluctuation Relations for Diffusions Thermally Driven by a Non-Stationnary Bath
- Emergent second law for non-equilibrium steady states
- Double quantum dot coupled to a quantum point contact: A stochastic thermodynamics approach
- Fluctuation theorems for non-Markovian quantum processes
- Inflow rate, a time-symmetric observable obeying fluctuation relations
- Entropy production in the non-equilibrium steady states of interacting many-body systems
- Inequalities generalizing the second law of thermodynamics for transitions between non-stationary states
- Fluctuation theorems and inequalities generalizing the second law of thermodynamics off equilibrium
- Thermodynamics of the General Diffusion Process: Equilibrium Supercurrent and Nonequilibrium Driven Circulation with Dissipation
- Characterizing a statistical arrow of time in quantum measurement dynamics
- Energy dissipation in an adaptive molecular circuit
- Current fluctuations in nonequilibrium discontinuous phase transitions
- Intrinsic and extrinsic thermodynamics for stochastic population processes with multi-level large-deviation structure
- Collective couplings: rectification and supertransmittance
- Fluctuations When Driving Between Nonequilibrium Steady States
- Quantum Equilibration under Constraints and Transport Balance
- Modified fluctuation-dissipation and Einstein relation at non-equilibrium steady states
- Electron transport through a quantum dot assisted by cavity photons
- Linear Stochastic Thermodynamics
- Transient fluctuation theorem in closed quantum systems
- Linear response in large deviations theory: A method to compute non-equilibrium distributions
- Geometric effects in non-equilibrium electron transfer statistics in adiabatically driven quantum junctions
- A quantum fluctuation theorem for any Lindblad master equation
- Excess entropy production in quantum system: Quantum master equation approach
- Large Deviations and Fluctuation Theorem for the Quantum Heat Current
- Semi-Markov processes in open quantum systems: Connections and applications in counting statistics
- Noncyclic and nonadiabatic geometric phase for counting statistics
- Characterizing steady state and transient properties of reaction-diffusion systems
- Microscopic reversibility of quantum open systems
- Large deviation function and fluctuation theorem for classical particle transport
- Inverse Design of Non-Equilibrium Steady-States: A Large Deviation Approach
- Validity of path thermodynamics in reactive systems
- On the relation between event-based and time-based current statistics
- Statistics of trajectories in two-state master equations
- Transport fluctuation relations in interacting quantum pumps
- Dynamic Stability and Thermodynamic Characterization in an Enzymatic Reaction at the Single Molecule Level
- Nonequilibrium free energy and information flow of a double quantum-dot system with Coulomb coupling
- Stochastic thermodynamics for Ising chain and symmetric exclusion process
- Generalized free energy and excess/housekeeping decomposition in nonequilibrium systems: from large deviations to thermodynamic speed limits
- How small can Maxwell's demon be? -- Lessons from autonomous electronic feedback models
- Fluctuation theorems for multiple co-evolving systems
- Feedback-charging a metallic island
- Noncyclic geometric phase in counting statistics and its role as an excess contribution
- An expression of excess work during transition between nonequilibrium steady states
- Coarse Graining Photo-Isomerization Reactions: Thermodynamic Consistency and Implications for Molecular Ratchets
- Information loss and entropy production during dissipative processes in a macroscopic system kicked out of the equilibrium
- Counting statistics of energy transport across squeezed thermal reservoirs