Fluctuation Relation for Heat

Abstract

We present a fluctuation relation for heat dissipation in a nonequilibrium system. A nonequilibrium work is known to obey the fluctuation theorem in any time interval $t$. A heat, which differs from a work by an energy change, is shown to satisfy a modified fluctuation relation. Modification is brought by correlation between a heat and an energy change during nonequilibrium processes whose effect may not be negligible even in the $t\to \infty$ limit. The fluctuation relation is derived for overdamped Langevin equation systems, and tested in a linear diffusion system.

5 pages, 3 figure

References in corpus (28)

• A nonequilibrium equality for free energy differences
• 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
• A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
• Fluctuation theorem for stochastic dynamics
• Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies
• Steady State Thermodynamics of Langevin Systems
• The Fluctuation Theorem as a Gibbs Property
• Three detailed fluctuation theorems
• Equality connecting energy dissipation with violation of fluctuation-response relation
• An Extension of the Fluctuation Theorem
• Nonequilibrium fluctuations in a resistor
• Fluctuation theorem in quantum heat conduction
• Extended Heat-Fluctuation Theorems for a System with Deterministic and Stochastic Forces
• Injected Power Fluctuations in Langevin Equation
• Work fluctuations for a Brownian particle between two thermostats
• Fluctuations in out of equilibrium systems: from theory to experiment
• Breakdown of Gallavotti-Cohen symmetry for stochastic dynamics
• Relevance of initial and final conditions for the Fluctuation Relation in Markov processes
• On the range of validity of the fluctuation theorem for stochastic Markovian dynamics
• Fluctuation symmetries for work and heat
• Unifying approach for fluctuation theorems from joint probability distributions
• Stochastic thermodynamics for delayed Langevin systems
• Non-equilibrium fluctuations for linear diffusion dynamics
• Joint probability distributions and fluctuation theorems
• Bound particle coupled to two thermostats
• A field-theoretic approach to nonequilibrium work identities

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• Quantum fluctuation theorems beyond two-point measurements
• Heat conduction induced by non-Gaussian athermal fluctuations
• Efficiency at maximum power and efficiency fluctuations in a linear Brownian heat engine model
• Overdamped stochastic thermodynamics with multiple reservoirs
• Emergence of Nonwhite Noise in Langevin Dynamics with Magnetic Lorentz Force
• Stochastic thermodynamics of Langevin systems under time-delayed feedback control: II. Nonequilibrium steady-state fluctuations
• Hidden entropy production by fast variables
• Heat fluctuations and initial ensembles
• Unconventional entropy production in the presence of momentum-dependent forces
• Threshold for everlasting initial memory in equilibration processes
• Heat fluctuations of Brownian oscillators in nonstationary processes: fluctuation theorem and condensation transition
• The Heat Distribution in a Logarithm Potential
• Multiple dynamic transitions in nonequilibrium work fluctuations
• Effects of the non-Markovianity and non-Gaussianity of active environmental noises on engine performance
• Work Relations Connecting Nonequilibrium Steady States Without Detailed Balance
• Geometric Fluctuation Theorem
• Zon-Cohen singularity and negative inverse temperature in a trapped particle limit
• Non-adiabatic effect in quantum pumping for a spin-boson system
• Heat fluctuations for underdamped Langevin dynamics
• Fluctuations and correlations in nonequilibrium systems
• The derivation of Markov processes that violate detailed balance
• Energy pumping in electrical circuits under avalanche noise
• Generalized Quantum Fluctuation Theorem for Energy Exchange
• Fluctuation Relations For Adiabatic Pumping
• Derivation of the not-so-common fluctuation theorems
• Exchange fluctuation theorems for a chain of interacting particles in presence of two heat baths
• Fluctuation theorem for entropy production of a partial system in the weak coupling limit
• Fluctuation theorems for excess and housekeeping heats for underdamped systems
• Transient exchange fluctuation theorems for heat using Hamiltonian framework: Classical and Quantum
• Entropy and Thermodynamic second laws: New perspective - stochastic thermodynamics and fluctuation theorems
• Modified saddle-point integral near singularity for the large deviation function
• Additivity of multiple heat reservoirs in Langevin equation
• On the steady state probability distribution of nonequilibrium stochastic systems
• Stochastic Thermodynamics and Hierarchy of Fluctuation Theorems with Multiple Reservoirs
• Stochastic Echo Phenomena in Nonequilibrium Systems
• Molecular dynamics study on a nonequilibrium motion of a colloidal particle driven by an external torque
• Thermodynamic uncertainty relation in the overdamped limit with a magnetic Lorentz force