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We analytically derive maximum efficiency at given cooling power for Carnot-type low-dissipation refrigerators. The corresponding optimal cycle duration depends on a single parameter, which is a specific combination of irreversibility…

Statistical Mechanics · Physics 2020-05-27 Viktor Holubec , Zhuolin Ye

We study a refrigerator model which consists of two $n$-level systems interacting via a pulsed external field. Each system couples to its own thermal bath at temperatures $T_h$ and $T_c$, respectively ($\theta\equiv T_c/T_h<1$). The…

Statistical Mechanics · Physics 2009-06-16 Armen E. Allahverdyan , Karen Hovhannisyan , Guenter Mahler

We examine the efficiency of an effective two-terminal thermoelectric device under broken time-reversal symmetry. The setup is derived from a three-terminal thermoelectric device comprising a thermal terminal and two electronic contacts,…

Mesoscale and Nanoscale Physics · Physics 2016-09-14 Kaoru Yamamoto , Ora Entin-Wohlman , Amnon Aharony , Naomichi Hatano

We study the optimal performance of Carnot-like heat engines working in low dissipation regime using the product of the efficiency and the power output, also known as the efficient power, as our objective function. Efficient power function…

Statistical Mechanics · Physics 2018-12-26 Varinder Singh , Ramandeep S. Johal

We study a refrigerator model which consists of two $n$-level systems interacting via a pulsed external field. Each system couples to its own thermal bath at temperatures $T_h$ and $T_c$, respectively ($\theta\equiv T_c/T_h<1$). The…

Statistical Mechanics · Physics 2015-05-19 Armen E. Allahverdyan , Karen Hovhannisyan , Guenter Mahler

We investigate thermoelectric efficiency of systems with broken time reversal symmetry under a three-terminal transport. Using a model of Aharonov-Bohm interferometer formed with three noninteracting quantum dots, we show that Carnot…

Mesoscale and Nanoscale Physics · Physics 2013-04-11 Vinitha Balachandran , Giuliano Benenti , Giulio Casati

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 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 study quantum transport through two-terminal nanoscale devices in contact with two particle reservoirs at different temperatures and chemical potentials. We discuss the general expressions controlling the electric charge current, heat…

Mesoscale and Nanoscale Physics · Physics 2017-08-04 G. Bevilacqua , G. Grosso , G. Menichetti , G. Pastori Parravicini

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

Machines are only Carnot efficient if they are reversible, but then their power output is vanishingly small. Here we ask, what is the maximum efficiency of an irreversible device with finite power output? We use a nonlinear scattering…

Mesoscale and Nanoscale Physics · Physics 2014-04-23 Robert S. Whitney

We study the problem of thermoelectricity and propose a simple microscopic mechanism for the increase of thermoelectric efficiency. We consider the cross transport of particles and energy in open classical ergodic billiards. We show that,…

Statistical Mechanics · Physics 2011-09-08 Giulio Casati , Carlos Mejia-Monasterio , Tomaz Prosen

The widely debated feasibility of thermodynamic machines achieving Carnot efficiency at finite power has been convincingly dismissed. Yet, the common wisdom that efficiency can only be optimal in the limit of infinitely-slow processes…

Statistical Mechanics · Physics 2017-07-28 Matteo Polettini , Massimiliano Esposito

We study the efficiency at maximum power, $\eta^*$, of engines performing finite-time Carnot cycles between a hot and a cold reservoir at temperatures $T_h$ and $T_c$, respectively. For engines reaching Carnot efficiency $\eta_C=1-T_c/T_h$…

Statistical Mechanics · Physics 2015-05-19 Massimiliano Esposito , Ryoichi Kawai , Katja Lindenberg , Christian Van den Broeck

In a recent Letter [EPL, 118 (2017) 40003], Polettini and Esposito claimed that it is theoretically possible for a thermodynamic machine to achieve Carnot efficiency at divergent power output through the use of infinitely-fast processes. It…

Statistical Mechanics · Physics 2018-02-28 Y. Apertet

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

Low-dimensional electronic systems in thermoelectrics have the potential to achieve high thermal-to-electric energy conversion efficiency. A key measure of performance is the efficiency when the device is operated under maximum power…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Natthapon Nakpathomkun , Hongqi Q. Xu , Heiner Linke

We derive general trade-off relations among the power, efficiency, and constancy for two-terminal thermoelectric systems in the linear response regime. Constancy, which quantifies the steadiness of the heat engine, is measured by its…

Statistical Mechanics · Physics 2026-04-09 Ousi Pan , Zhiqiang Fan , Shunjie Zhang , Liwei Chen , Jincan Chen , Shanhe Su

Low-dimensional systems with sharp features in the density of states have been proposed as a means to improving the efficiency of thermoelectric devices. Quantum dot systems, which offer the sharpest density of states achievable, however,…

Mesoscale and Nanoscale Physics · Physics 2014-07-14 Akshay Agarwal , Bhaskaran Muralidharan
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