Effects of error on fluctuations under feedback control
arXiv:1105.5456 · doi:10.1103/PhysRevE.84.021123
Abstract
We consider a one-dimensional Brownian motion under nonequilibrium feedback control. Generally, the fluctuation-dissipation theorem (FDT) is violated in driven systems under nonequilibrium conditions. We find that the degree of the FDT violation is bounded by the mutual information obtained by the feedback system when the feedback protocol includes measurement errors. We introduce two simple models to illustrate cooling processes by feedback control and demonstrate analytical results for the cooling limit in those systems. Especially in a steady state, lower bounds to the effective temperature are given by an inequality similar to the Carnot efficiency.
7 pages, 3 figures
References in corpus (7)
- Information heat engine: converting information to energy by feedback control
- The Physics of Maxwell's demon and information
- Millikelvin cooling of an optically trapped microsphere in vacuum
- Second Law of Thermodynamics with Discrete Quantum Feedback Control
- Fluctuations and response of nonequilibrium states
- Path-integral analysis of fluctuation theorems for general Langevin processes
- Tuning the effective coupling of an AFM lever to a thermal bath
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