Steady state fluctuations of the dissipated heat for a quantum stochastic model
arXiv:cond-mat/0406004 · doi:10.1142/S0129055X06002747
Abstract
We introduce a quantum stochastic dynamics for heat conduction. A multi-level subsystem is coupled to reservoirs at different temperatures. Energy quanta are detected in the reservoirs allowing the study of steady state fluctuations of the entropy dissipation. Our main result states a symmetry in its large deviation rate function.
arXiv comment41 pages, minor changes, published version
References in corpus (17)
- Dynamical Ensembles in Nonequilibrium Statistical Mechanics
- A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
- Fluctuation theorem for stochastic dynamics
- Dynamical ensembles in stationary states
- The Fluctuation Theorem as a Gibbs Property
- Smooth dynamics and new theoretical ideas in nonequilibrium statistical mechanics
- Non-Equilibrium Statistical Mechanics of Anharmonic Chains Coupled to Two Heat Baths at Different Temperatures
- Fluctuation Theorems
- Stochastic Schrodinger equations
- Note on Two Theorems in Nonequilibrium Statistical Mechanics
- A quantum version of free energy - irreversible work relations
- Fluctuations of the Entropy Production in Anharmonic Chains
- Adaiabtic theorems and reversible isothermal processes
- Constructing the Davies process of Resonance Fluorescence with Quantum Stochastic Calculus
- A Remark on the Strict Positivity of the Entropy Production
- Quantum Correction of Fluctuation Theorem
- From repeated to continuous quantum interactions
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