Stochastic thermodynamics of Langevin systems under time-delayed feedback control: II. Nonequilibrium steady-state fluctuations
arXiv:1612.04945 · doi:10.1103/PhysRevE.95.022123
Abstract
This paper is the second in a series devoted to the study of Langevin systems subjected to a continuous time-delayed feedback control. The goal of our previous paper [Phys. Rev. E 91, 042114 (2015)] was to derive second-law-like inequalities that provide bounds to the average extracted work. Here we study stochastic fluctuations of time-integrated observables such as the heat exchanged with the environment, the extracted work, or the (apparent) entropy production. We use a path-integral formalism and focus on the long-time behavior in the stationary cooling regime, stressing the role of rare events. This is illustrated by a detailed analytical and numerical study of a Langevin harmonic oscillator driven by a linear feedback.
23 pages, 17 figures
References in corpus (28)
- The large deviation approach to statistical mechanics
- Feedback cooling of a cantilever's fundamental mode below 5 mK
- Rare events and the convergence of exponentially averaged work values
- An Extension of the Fluctuation Theorem
- Nonequilibrium fluctuations in a resistor
- Extended Heat-Fluctuation Theorems for a System with Deterministic and Stochastic Forces
- Work fluctuation theorems for harmonic oscillators
- Work fluctuations for a Brownian particle between two thermostats
- Symmetries of generating functionals of Langevin processes with colored multiplicative noise
- Onsager-Machlup theory for nonequilibrium steady states and fluctuation theorems
- Entropy Production of Brownian Macromolecules with Inertia
- Fluctuation theorems for harmonic oscillators
- Fluctuation relations for a driven Brownian particle
- Large deviations of heat flow in harmonic chains
- Relevance of initial and final conditions for the Fluctuation Relation in Markov processes
- Fluctuations of energy flux in wave turbulence
- On the range of validity of the fluctuation theorem for stochastic Markovian dynamics
- Fluctuation symmetries for work and heat
- Stochastic thermodynamics of Langevin systems under time-delayed feedback control: I. Second-law-like inequalities
- Harmonic Oscillator in Heat Bath: Exact simulation of time-lapse-recorded data, exact analytical benchmark statistics
- Heat and work fluctuations for a harmonic oscillator
- Fluctuation Relation for Heat
- Stochastic thermodynamics for delayed Langevin systems
- Anomalous fluctuation relations
- Inertial Effects in Nonequilibrium Work Fluctuations by a Path Integral Approach
- Continuous information flow fluctuations
- Heat fluctuations and initial ensembles
- Feedback cooling of cantilever motion using a quantum point contact transducer
Cited by in corpus (9)
- On the stochastic thermodynamics of fractional Brownian motion
- Multimode cold-damping optomechanics with delayed feedback
- Uncertainty relations for time-delayed Langevin systems
- Energy fluctuations of a Brownian particle freely moving in a liquid
- Heat production in a stochastic system with nonlinear time-delayed feedback
- White-noise fluctuation theorem for Langevin dynamics
- Heat Distribution of Relativistic Brownian Motion
- Non-Markovian feedback control and acausality: an experimental study
- Characteristic oscillations in frequency-resolved heat dissipation of linear time-delayed Langevin systems: Approach from the violation of the fluctuation-response relation