Brownian Duet: A Novel Tale of Thermodynamic Efficiency

Proesmans, Karel; Dreher, Yannik; Gavrilov, Momčilo; Bechhoefer, John; Broeck, C. Van den

doi:10.1103/physrevx.6.041010

Cited by 87 publications

(93 citation statements)

References 67 publications

(96 reference statements)

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“…While the first two features were not introduced in this context earlier as reported in Refs. [51,55], the third feature is similar to as mentioned in Ref. [55].…”

Section: Introductionsupporting

confidence: 55%

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Stochastic efficiency of an isothermal work-to-work converter engine

Gupta

Sabhapandit

2017

Phys. Rev. E

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We investigate the efficiency of an isothermal Brownian work-to-work converter engine, composed of a Brownian particle coupled to a heat bath at a constant temperature. The system is maintained out of equilibrium by using two external time-dependent stochastic Gaussian forces, where one is called load force and the other is called drive force. Work done by these two forces are stochastic quantities. The efficiency of this small engine is defined as the ratio of stochastic work done against load force to stochastic work done by the drive force. The probability density function as well as large deviation function of the stochastic efficiency are studied analytically and verified by numerical simulations.

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“…While the first two features were not introduced in this context earlier as reported in Refs. [51,55], the third feature is similar to as mentioned in Ref. [55].…”

Section: Introductionsupporting

confidence: 55%

“…[50]. In the case of isothermal energy transformation [51], authors considered a Brownian particle in a harmonic potential driven by a duo of time-periodic forces. This setup is used as an engine which converted the Gaussian stochastic input work to Gaussian stochastic output work.…”

Section: Introductionmentioning

confidence: 99%

Stochastic efficiency of an isothermal work-to-work converter engine

Gupta

Sabhapandit

2017

Phys. Rev. E

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“…As a consequence, choosing k ′ = 0 merely shifts the terms in the summation (15). From (14), it is also readily seen that operations where q = 2π L corresponds to a rescaled version of (16). From this, it is apparent that the imperfections of the whole procedure, consisting of a number of successive operations where each instance the imperfections decay quadratically (linearly) with T swap , will also be decaying quadratically (linearly) in T swap .…”

Section: Resultsmentioning

confidence: 97%

“…Over the last decade, an increasing amount of attention has been devoted to the interplay of thermodynamics, quantum mechanics and information theory [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. While most of the work is driven by fundamental questions regarding the validity of statistical mechanics in the quantum realm, recent technological advances have made it possible to actually fabricate and study thermal machines on the level of single-atoms.…”

Section: Introductionmentioning

confidence: 99%

Unitary work extraction from a generalized Gibbs ensemble using Bragg scattering

2017

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We investigate work extraction from integrable quantum systems under unitary operations. As a model system, we consider non-interacting fermions in one dimension. Thanks to its integrability, this system does not thermalize after a perturbation, even though it does reach a steady state which can be described by a Generalized Gibbs Ensemble (GGE). Such a GGE has an excess free energy compared to a thermal state and we propose to extract this energy by applying Bragg pulses. We show how all the available work in the GGE can be extracted in the adiabatic limit while some excess energy is left at finite times. The unextracted work reaches the adiabatic limit as a power law with exponent z = −2 for small systems and with z = −1 in the thermodynamic limit. Two distinct protocols for combining the Bragg operations are compared, and in some systems an extensive difference in efficiency arises. From the unextracted work and the entropy production, a notion of temperature is defined and compared to the Boltzmann-Gibbs temperature of the system.

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“…Feedback traps have been applied to the study of single molecules [7][8][9][10][11][12][13][14] and to explore fundamental questions in the non-equilibrium statistical mechanics of small systems [8,[15][16][17][18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Feedback traps for virtual potentials

Gavrilov

Bechhoefer

2017

Phil. Trans. R. Soc. A.

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Feedback traps are tools for trapping and manipulating single charged objects, such as molecules in solution. An alternative to optical tweezers and other single-molecule techniques, they use feedback to counteract the Brownian motion of a molecule of interest. The trap first acquires information about a molecule's position and then applies an electric feedback force to move the molecule. Since electric forces are stronger than optical forces at small scales, feedback traps are the best way to trap single molecules without ‘touching’ them (e.g. by putting them in a small box or attaching them to a tether). Feedback traps can do more than trap molecules: they can also subject a target object to forces that are calculated to be the gradient of a desired potential functionU(x). If the feedback loop is fast enough, it creates avirtual potentialwhose dynamics will be very close to those of a particle in an actual potentialU(x). But because the dynamics are entirely a result of the feedback loop—absent the feedback, there is only an object diffusing in a fluid—we are free to specify and then manipulate in time an arbitrary potentialU(x,t). Here, we review recent applications of feedback traps to studies on the fundamental connections between information and thermodynamics, a topic where feedback plays an even more fundamental role. We discuss how recursive maximum-likelihood techniques allow continuous calibration, to compensate for drifts in experiments that last for days. We consider ways to estimate work and heat, using them to measure fluctuating energies to a precision of ±0.03kTover these long experiments. Finally, we compare work and heat measurements of the costs of information erasure, theLandauer limitofkTln 2 per bit of information erased. We argue that, when you want to know the average heat transferred to a bath in a long protocol, you should measure instead the average work and then infer the heat using the first law of thermodynamics.This article is part of the themed issue ‘Horizons of cybernetical physics’.

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Brownian Duet: A Novel Tale of Thermodynamic Efficiency

Cited by 87 publications

References 67 publications

Stochastic efficiency of an isothermal work-to-work converter engine

Stochastic efficiency of an isothermal work-to-work converter engine

Unitary work extraction from a generalized Gibbs ensemble using Bragg scattering

Feedback traps for virtual potentials

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