Thermodynamic uncertainty relations including measurement and feedback

Potts, Patrick P.; Samuelsson, Peter

doi:10.1103/physreve.100.052137

Cited by 89 publications

(55 citation statements)

References 72 publications

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“…1 for biomolecular processes in the linear response regime. A generalized version of the TUR had been proposed and tested for various systems under driving [8][9][10][11][12]16 . Nevertheless, generalized TURs (see e.g.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic uncertainty relation in thermal transport

et al. 2019

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We use the fundamental nonequilibrium steady state fluctuation symmetry and derive a condition on the validity of the thermodynamic uncertainty relation (TUR) in thermal transport problems, classical or quantum alike. We test this condition and study the breakdown of the TUR in different thermal transport junctions of bosonic and electronic degrees of freedom. First, we prove that the TUR is valid in harmonic oscillator junctions. In contrast, in the nonequilibrium spin-boson model, which realizes many-body effects, it is satisfied in the Markovian limit, but violations arise as we tune (reduce) the cutoff frequency of the thermal baths, thus observing non-Markovian dynamics. Finally, we consider heat transport by noninteracting electrons in a tight-binding chain model. Here we show that the TUR is feasibly violated by tuning e.g. the hybridization energy of the chain to the metal leads. These results manifest that the validity of the TUR relies on the statistics of the participating carriers, their interaction, and the nature of their couplings to the macroscopic contacts (metal electrodes, phonon baths).

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Section: Introductionmentioning

confidence: 99%

Thermodynamic uncertainty relation in thermal transport

et al. 2019

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“…Nevertheless, we find the TUR to be valid in a temperature- and voltage-biased QPC. We note that recently, it has been shown that a weaker, generalized TUR applies whenever a fluctuation theorem holds [ 46 , 47 ]. Here, we show further constraints on the TUR under the restriction that the thermoelectric element produces power, necessary to define a useful performance quantifier.…”

Section: Introductionmentioning

confidence: 99%

Power, Efficiency and Fluctuations in a Quantum Point Contact as Steady-State Thermoelectric Heat Engine

Kheradsoud

Dashti

Misiorny

et al. 2019

Entropy

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The trade-off between large power output, high efficiency and small fluctuations in the operation of heat engines has recently received interest in the context of thermodynamic uncertainty relations (TURs). Here we provide a concrete illustration of this trade-off by theoretically investigating the operation of a quantum point contact (QPC) with an energy-dependent transmission function as a steady-state thermoelectric heat engine. As a starting point, we review and extend previous analysis of the power production and efficiency. Thereafter the power fluctuations and the bound jointly imposed on the power, efficiency and fluctuations by the TURs are analyzed as additional performance quantifiers. We allow for arbitrary smoothness of the transmission probability of the QPC, which exhibits a close to step-like dependence in energy, and consider both the linear and the non-linear regime of operation. It is found that for a broad range of parameters, the power production reaches nearly its theoretical maximum value, with efficiencies more than half of the Carnot efficiency and at the same time with rather small fluctuations. Moreover, we show that by demanding a non-zero power production, in the linear regime a stronger TUR can be formulated in terms of the thermoelectric figure of merit. Interestingly, this bound holds also in a wide parameter regime beyond linear response for our QPC device.

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“…We aim to partially answer this question in a simple setup (described below) driven out of equilibrium using an arbitrary time-dependent external protocol. A generalization of [50] for the broken time-reversal symmetry using the time-reversed current observable is given in [51,52].…”

Section: Introductionmentioning

confidence: 99%

“…The uncertainty relations for both of these observables are obtained using the second law of thermodynamics as well as the positive semi-definite property of the correlation matrix of work and degrees of freedom of the system in both underdamped and overdamped regimes. There are four main features of the paper: (1) the thermodynamic uncertainty relations are obtained from the second law of thermodynamics, (2) the external protocol need not be time-symmetric, (3) in contrary to [51,52], there is no need to compute the observable in the time-reversed protocol, (4) the cost function is given by work done on the system in the overdamped regime.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic uncertainty relations in a linear system

Gupta

Maritan

2020

Eur. Phys. J. B

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We consider a Brownian particle in harmonic confinement of stiffness k, in one dimension in the underdamped regime. The whole setup is immersed in a heat bath at temperature T . The center of harmonic trap is dragged under any arbitrary protocol. The thermodynamic uncertainty relations for both position of the particle and current at time t are obtained using the second law of thermodynamics as well as the positive semi-definite property of the correlation matrix of work and degrees of freedom of the system for both underdamped and overdamped cases. arXiv:1905.08854v2 [cond-mat.stat-mech]

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Thermodynamic uncertainty relations including measurement and feedback

Cited by 89 publications

References 72 publications

Thermodynamic uncertainty relation in thermal transport

Thermodynamic uncertainty relation in thermal transport

Power, Efficiency and Fluctuations in a Quantum Point Contact as Steady-State Thermoelectric Heat Engine

Thermodynamic uncertainty relations in a linear system

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