Thermodynamics of Genuine Nonequilibrium States under Feedback Control

Abreu, David; Seifert, Udo

doi:10.1103/physrevlett.108.030601

Cited by 117 publications

(159 citation statements)

References 22 publications

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“…Same relation for entropy production was discussed by D. Abreu and U. Seifert in [10]. Recently, Crooks type studies have also been attempted in these kind of systems [11][12][13].…”

Section: Introductionmentioning

confidence: 77%

Nonequilibrium fluctuation theorem for systems under discrete and continuous feedback control

Kundu

2012

Phys. Rev. E

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Without violating causality, we allow performing measurements in time reverse process of a feedback manipulated stochastic system. As a result we come across an entropy production due to the measurement process. This entropy production, in addition to the usual system and medium entropy production, constitutes the total entropy production of the combined system of the reservoir, the system and the feedback controller. We show that this total entropy production of "full" system satisfies an integrated fluctuation theorem as well as a detailed fluctuation theorem as expected. We illustrate and verify this idea through explicit calculation and direct simulation in two examples.

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“…Same relation for entropy production was discussed by D. Abreu and U. Seifert in [10]. Recently, Crooks type studies have also been attempted in these kind of systems [11][12][13].…”

Section: Introductionmentioning

confidence: 77%

Nonequilibrium fluctuation theorem for systems under discrete and continuous feedback control

Kundu

2012

Phys. Rev. E

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“…This fundamental question, which has been actively debated since the birth of thermodynamics [2][3][4], is now becoming of practical interest owing to the progress in the fabrication of micro-and nanomechanical devices [5] and to the increasing ability to manipulate single molecules [6]. In this direction, a major achievement of the last decade has been the derivation of various second-law-like inequalities and fluctuation relations [7][8][9][10][11][12][13][14][15][16][17][18] that extend our understanding of far-from-equilibrium thermodynamics [19,20] to feedback driven systems…”

Section: Introductionmentioning

confidence: 99%

Stochastic thermodynamics of Langevin systems under time-delayed feedback control: Second-law-like inequalities

2015

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Response lags are generic to almost any physical system and often play a crucial role in the feedback loops present in artificial nanodevices and biological molecular machines. In this paper, we perform a comprehensive study of small stochastic systems governed by an underdamped Langevin equation and driven out of equilibrium by a time-delayed continuous feedback control. In their normal operating regime, these systems settle in a nonequilibrium steady state in which work is permanently extracted from the surrounding heat bath. By using the Fokker-Planck representation of the dynamics, we derive a set of second-law-like inequalities that provide bounds to the rate of extracted work. These inequalities involve additional contributions characterizing the reduction of entropy production due to the continuous measurement process. We also show that the nonMarkovian nature of the dynamics requires a modification of the basic relation linking dissipation to the breaking of time-reversal symmetry at the level of trajectories. The new relation includes a contribution arising from the acausal character of the reverse process. This in turn leads to another second-law-like inequality. We illustrate the general formalism by a detailed analytical and numerical study of a harmonic oscillator driven by a linear feedback, which describes actual experimental setups.

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“…When the state of a generic thermodynamic system in state n is measured with an outcome m, the stochastic mutual information [17,22] is defined as Iðm; nÞ≔ ln PðnjmÞ − ln PðnÞ;…”

mentioning

confidence: 99%

“…Relatively recent progress with universal nonequilibrium equalities applying to irreversible processes, known as fluctuation theorems [4][5][6][7][8][9][10][11], has brought renewed attention to this problem. In particular, the second law of thermodynamics and nonequilibrium equalities have been generalized to irreversible processes that involve information treatment, such as measurement, feedback control, or information erasure [12][13][14][15][16][17][18][19][20][21][22][23].…”

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confidence: 99%

Experimental Observation of the Role of Mutual Information in the Nonequilibrium Dynamics of a Maxwell Demon

et al. 2014

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We validate experimentally a fluctuation relation known as generalized Jarzynski equality governing the work distribution in a feedback-controlled system. The feedback control is performed on a single electron box analogously to the original Szilard engine. In the generalized Jarzynski equality, mutual information is treated on an equal footing with the thermodynamic work. Our measurements provide the first evidence of the role of mutual information in the fluctuation theorem and thermodynamics of irreversible processes.

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Thermodynamics of Genuine Nonequilibrium States under Feedback Control

Cited by 117 publications

References 22 publications

Nonequilibrium fluctuation theorem for systems under discrete and continuous feedback control

Nonequilibrium fluctuation theorem for systems under discrete and continuous feedback control

Stochastic thermodynamics of Langevin systems under time-delayed feedback control: Second-law-like inequalities

Experimental Observation of the Role of Mutual Information in the Nonequilibrium Dynamics of a Maxwell Demon

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