Work statistics in stochastically driven systems

Verley, Gatien; Broeck, C. Van den; Esposito, Massimiliano

doi:10.1088/1367-2630/16/9/095001

Cited by 52 publications

(97 citation statements)

References 50 publications

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“…When such small-scale machines are driven by external forces, like temperature or concentration gradient, shear flow, time-dependent external field, etc., observables such as work done, heat flow, power injection, entropy production, etc., become stochastic quantities [18][19][20][21][22][23][24][25][26][27][28][29][30]. The probability distributions of these quantities have richer information than their ensemble average values.…”

Section: Introductionmentioning

confidence: 99%

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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Section: Introductionmentioning

confidence: 99%

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

Gupta

Sabhapandit

2017

Phys. Rev. E

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“…This driving is symmetric under time-reversal (up to a time shift negligible in the long time limit) and the single reservoir version of this model was studied analytically in Refs. [20,21]. The work and heat CGF can also be calculated analytically for our machine as described in the Appendix.…”

Section: ν [H(t)] = ν [H(t)]/[2 Cosh β ν H(t)] But Arrhenius Rates ωmentioning

confidence: 99%

Universal theory of efficiency fluctuations

et al. 2014

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Using the fluctuation theorem supplemented with geometric arguments, we derive universal features of the (long-time) efficiency fluctuations for thermal and isothermal machines operating under steady or periodic driving, close or far from equilibrium. In particular, the probabilities for observing the reversible efficiency and the least likely efficiency are identical to those of the same machine working under the time-reversed driving. For time-symmetric drivings, this reversible and the least probable efficiency coincide.

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“…Changes in the control state leads to changes in the energies of the internal states and in the energy barriers between internal states. These changes can happen at fixed times for a deterministic protocol or at exponentially distributed waiting times for a stochastic protocol [11,12]. An internal current, i.e., net movement of the particle in the circle, in the clockwise direction can be induced by the external control in figure 2.…”

Section: Illustrative Examplementioning

confidence: 99%

“…The external protocol becomes unaffected by the dynamics of the internal system in the following limit [12]. The free energy difference is written as…”

Section: Limit Of Irreversible Controlmentioning

confidence: 99%

Thermodynamic cost of external control

Barato

Seifert

2017

New J. Phys.

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Artificial molecular machines are often driven by the periodic variation of an external parameter. This external control exerts work on the system of which a part can be extracted as output if the system runs against an applied load. Usually, the thermodynamic cost of the process that generates the external control is ignored. Here, we derive a refined second law for such small machines that include this cost, which is, for example, generated by free energy consumption of a chemical reaction that modifies the energy landscape for such a machine. In the limit of irreversible control, this refined second law becomes the standard one. Beyond this ideal limiting case, our analysis shows that due to a new entropic term unexpected regimes can occur: the control work can be smaller than the extracted work and the work required to generate the control can be smaller than this control work. Our general inequalities are illustrated by a paradigmatic three-state system.

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Work statistics in stochastically driven systems

Cited by 52 publications

References 50 publications

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

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

Universal theory of efficiency fluctuations

Thermodynamic cost of external control

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