Heat exchange mediated by a quantum system

Panasyuk, George Y.; Levin, Gilbert V.; Yerkes, Kirk L.

doi:10.1103/physreve.86.021116

Cited by 20 publications

(34 citation statements)

References 57 publications

(108 reference statements)

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“…60 The oscillator is directly in contact with phonon leads, but only indirectly with electron leads since there is the molecular level (see Fig.1). In analogy with the terms in the deterministic (see Eq.…”

Section: Discussionmentioning

confidence: 99%

“…In the regime of low molecule occupation, the phonon thermal conductance G ph K at the average temperature T can be calculated neglecting all the renormalization effects due to electron-vibration coupling but retaining all the quantum contributions 60,62 : (24) with F (ω) given by The quantity RG ph K will indicate the ratio between the conductance in Eq. (24) and that calculated in Eq.…”

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confidence: 99%

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Electron-vibration effects on the thermoelectric efficiency of molecular junctions

2014

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The thermoelectric properties of a molecular junction model, appropriate for large molecules such as fullerenes, are studied within a non-equilibrium adiabatic approach in the linear regime at room temperature. A self-consistent calculation is implemented for electron and phonon thermal conductance showing that both increase with the inclusion of the electron-vibration coupling. Moreover, we show that the deviations from the Wiedemann-Franz law are progressively reduced upon increasing the interaction between electronic and vibrational degrees of freedom. Consequently, the junction thermoelectric efficiency is substantially reduced by the electron-vibration coupling. Even so, for realistic parameters values, the thermoelectric figure of merit can still have peaks of the order of unity. Finally, in the off-resonant electronic regime, our results are compared with those of an approach which is exact for low molecular electron densities. We give evidence that in this case additional quantum effects, not included in the first part of this work, do not affect significantly the junction thermoelectric properties in any temperature regime.

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Section: Discussionmentioning

confidence: 99%

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confidence: 99%

Electron-vibration effects on the thermoelectric efficiency of molecular junctions

2014

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“…As was shown [47], the rate of change of the energy of the given νth thermal reservoir is determined by…”

Section: Quasi-static Heat Balancementioning

confidence: 98%

“…Taking into account (31) and closing the integration contour in the upper complex half plane (for t > 0), one finds the following (expected) result [18,47]:…”

Section: Modelmentioning

confidence: 98%

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Size effects in long-term quasistatic heat transport

Panasyuk

Yerkes

2013

Phys. Rev. E

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We consider finite size effects on heat transfer between thermal reservoirs mediated by a quantum system, where the number of modes in each reservoir is finite. Our approach is based on the generalized quantum Langevin equation and the thermal reservoirs are described as ensembles of oscillators within the DrudeUllersma model. A general expression for the heat current between the thermal reservoirs in the long-time quasi-static regime, when an observation time is of the order of ∆ −1 and ∆ is the mode spacing constant of a thermal reservoir, is obtained. The resulting equations that govern the long-time relaxation for the mode temperatures and the average temperatures of the reservoirs are derived and approximate analytical solutions are found. The obtained time dependences of the temperatures and the resulting heat current reveal peculiarities at t = 2πm/∆ with nonnegative integers m and the heat current vanishes non-monotonically when t → ∞. The validity of Fourier's law for a chain of finite-size macroscopic subsystems is considered. As is shown, for characteristic times of the order of ∆ −1 the temperatures of subsystems' modes deviate from each other and the validity of Fourier's law cannot be established. In a case when deviations of initial temperatures of the subsystems from their average value are small, t → ∞ asymptotic values for the mode temperatures do not depend on a mode's number and are the same as if Fourier's law were valid for all times.

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Modeling the nonequilibrium effects in a nonquasi-equilibrium thermodynamic cycle based on steepest entropy ascent and an isothermal-isobaric ensemble

Spakovsky

2016

Energy

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Heat exchange mediated by a quantum system

Cited by 20 publications

References 57 publications

Electron-vibration effects on the thermoelectric efficiency of molecular junctions

Electron-vibration effects on the thermoelectric efficiency of molecular junctions

Size effects in long-term quasistatic heat transport

Modeling the nonequilibrium effects in a nonquasi-equilibrium thermodynamic cycle based on steepest entropy ascent and an isothermal-isobaric ensemble

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