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We consider the nonlinear scattering theory for three-terminal thermoelectric devices, used for power generation or refrigeration. Such systems are quantum phase-coherent versions of a thermocouple, and the theory applies to systems in…

Mesoscale and Nanoscale Physics · Physics 2017-05-25 Robert S. Whitney

We derive the statistics of the efficiency under the assumption that thermodynamic fluxes fluctuate with normal law, parametrizing it in terms of time, macroscopic efficiency, and a coupling parameter $\zeta$. It has a peculiar behavior: No…

Statistical Mechanics · Physics 2015-02-19 Matteo Polettini , Gatien Verley , Massimiliano Esposito

We investigate the efficiency at maximum power (EMP) of irreversible quantum Carnot engines that perform finite-time cycles between two temperature tunable baths. The temperature form we adopt can be experimentally realized in squeezed…

Quantum Physics · Physics 2017-10-19 Junjie Liu , Chang-Yu Hsieh , Jianshu Cao

Situations where a spontaneous process of energy or matter transfer is enhanced by an external device are widespread in nature (human sweating system, enzyme catalysis, facilitated diffusion across bio-membranes, industrial heat…

Statistical Mechanics · Physics 2010-07-21 Karen Hovhannisyan , Armen E. Allahverdyan

The construction of efficient thermal engines operating at finite times constitutes a fundamental and timely topic in nonequilibrium thermodynamics. We introduce a strategy for optimizing the performance of Brownian engines, based on a…

Statistical Mechanics · Physics 2021-08-04 C. E. Fernández Noa , Angel L. L. Stable , William G. C. Oropesa , Alexandre Rosas , C. E. Fiore

We consider the efficiency at maximum power of a quantum Otto engine, which uses a spin or a harmonic system as its working substance and works between two heat reservoirs at constant temperatures $T_h$ and $T_c$ $ (<T_h)$. Although the…

Statistical Mechanics · Physics 2015-06-22 Feilong Wu , Jizhou He , Yongli Ma , Jianhui Wang

If the work per cycle of a quantum heat engine is averaged over an appropriate prior distribution for an external parameter $a$, the work becomes optimal at Curzon-Ahlborn efficiency. More general priors of the form $\Pi(a) \propto…

Statistical Mechanics · Physics 2015-05-18 Ramandeep S. Johal

The Curzon-Ahlborn efficiency has long served as the definite upper bound for the thermal efficiency at maximum output power, and has thus shaped the development of finite-time thermodynamics. In this paper, we repeal the ruling consensus…

Statistical Mechanics · Physics 2017-08-16 Yann Apertet , Henni Ouerdane , Christophe Goupil , Philippe Lecoeur

The quantum efficiency in the transfer of an initial excitation in disordered finite networks, modeled by the $k$-body embedded Gaussian ensembles of random matrices, is studied for bosons and fermions. The influence of the presence or…

Quantum Physics · Physics 2015-11-12 Adrian Ortega , Manan Vyas , Luis Benet

A long standing open problem whether a heat engine with finite power achieves the Carnot efficiency is investigated. We rigorously prove a general trade-off inequality on thermodynamic efficiency and time interval of a cyclic process with…

Statistical Mechanics · Physics 2017-08-18 Naoto Shiraishi , Hiroyasu Tajima

One of the principal objectives of quantum thermodynamics is to explore quantum effects and their potential beneficial role in thermodynamic tasks like work extraction or refrigeration. So far, even though several papers have already shown…

Quantum Physics · Physics 2019-04-22 C. L. Latune , I. Sinayskiy , F. Petruccione

Two-reservoir thermochemical engines are established in by using near-independent particles (including Maxwell-Boltzmann, Fermi-Dirac, and Bose-Einstein particles) as the working substance. Particle and heat fluxes can be formed based on…

Statistical Mechanics · Physics 2016-05-17 Xiaoguang Luo , Nian Liu , Teng Qiu

Following the result by Skrzypczyk et al., arXiv:1009.0865, that certain self-contained quantum thermal machines can reach Carnot efficiency, we discuss the functioning of self-contained quantum thermal machines and show, in a very general…

Quantum Physics · Physics 2010-09-15 Sandu Popescu

The efficiency of macroscopic heat engines is restricted by the second law of thermodynamics. They can reach at most the efficiency of a Carnot engine. In contrast, heat currents in mesoscopic heat engines show fluctuations. Thus, there is…

Mesoscale and Nanoscale Physics · Physics 2015-09-23 Sebastian Pilgram , David Sanchez , Rosa Lopez

The introduction of the quantum analogue of a Carnot engine based on a bath comprising of particles with a small amount of coherence initiated an active line of research on the harnessing of different quantum resources for the enhancement…

Quantum Physics · Physics 2022-12-23 Kenza Hammam , Heather Leitch , Yassine Hassouni , Gabriele De Chiara

We show that for a two-dimensional gas of elastically interacting particles the thermoelectric efficiency reaches the Carnot efficiency in the thermodynamic limit. Numerical simulations, by means of the multi-particle collision dynamics…

Statistical Mechanics · Physics 2014-01-14 Giuliano Benenti , Giulio Casati , Carlos Mejia-Monasterio

We identify the operational conditions for maximum power of a nanothermoelectric engine consisting of a single quantum level embedded between two leads at different temperatures and chemical potentials. The corresponding thermodynamic…

Statistical Mechanics · Physics 2010-03-01 Massimiliano Esposito , Katja Lindenberg , Christian Van den Broeck

Here, we investigate the maximum power and corresponding efficiency of thermoelectric generators through devising a set of protocols for the isothermal and adiabatic processes of thermoelectricity to build a Carnot-like thermoelectric…

Applied Physics · Physics 2023-11-28 Yuchao Hua , Lingai Luo , Zeng-Yuan Guo

We investigate the efficiency at maximum power of an irreversible Carnot engine performing finite-time cycles between two reservoirs at temperatures $T_h$ and $T_c$ $(T_c<T_h)$, taking into account of internally dissipative friction in two…

Statistical Mechanics · Physics 2015-06-05 Jianhui Wang , Jizhou He

We evaluate the efficiency at maximum power of a quantum-dot Carnot heat engine. The universal value of the coefficients at the linear and quadratic order in the temperature gradient are reproduced. Curzon-Ahlborn efficiency is recovered in…

Statistical Mechanics · Physics 2015-05-14 Massimiliano Esposito , Ryoichi Kawai , Katja Lindenberg , Christian Van den Broeck