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Considerable attention has been devoted to microscopic heat engines in both theoretical and experimental aspects. Notably, the fundamental limits pertaining to power and efficiency, as well as the tradeoff relations between these two…

Statistical Mechanics · Physics 2024-04-15 Tan Van Vu , Keiji Saito

We investigate stochastic thermodynamics of a two-particles Langevin system. Each particle is in contact with a heat bath at different temperatures $T_1$ and $T_2~(<T_1)$, respectively. Particles are trapped by a harmonic potential and…

Statistical Mechanics · Physics 2016-07-29 Jong-Min Park , Hyun-Myung Chun , Jae Dong Noh

We study bounds on ratios of fluctuations in steady-state time-reversal heat engines controlled by multi affinities. In the linear response regime, we prove that the relative fluctuations (precision) of the output current (power) is always…

Statistical Mechanics · Physics 2021-11-17 Sushant Saryal , Matthew Gerry , Ilia Khait , Dvira Segal , Bijay Kumar Agarwalla

We investigate maximum efficiency at a given power for low-dissipation heat engines. Close to maximum power, the maximum gain in efficiency scales as a square root of relative loss in power and this scaling is universal for a broad class of…

Statistical Mechanics · Physics 2016-07-12 Viktor Holubec , Artem Ryabov

In this work, the relationship between Carnot engine and Szil\'ard engine was discussed. By defining the available information about the temperature difference between two heat reservoirs, the Carnot engine was found to have a same physical…

Classical Physics · Physics 2016-11-28 Liangsuo Shu , Xiaokang Liu , Suyi Huang , Shiping Jin

Power and efficiency of heat engines are two conflicting objectives, and a tight efficiency bound is expected to give insights on the fundamental properties of the power-efficiency tradeoff. Here we derive an upper bound on the efficiency…

Statistical Mechanics · Physics 2021-10-27 Takuya Kamijima , Shun Otsubo , Yuto Ashida , Takahiro Sagawa

We formulate an endoreversible finite-time Carnot cycle model based on the assumptions of local equilibrium and constant energy flux, where the efficiency and the power are expressed in terms of the thermodynamic variables of the working…

Statistical Mechanics · Physics 2015-09-30 Yuki Izumida , Koji Okuda

Recent years have witnessed a surge of discoveries in the studies of thermodynamic inequalities: the thermodynamic uncertainty relation (TUR) and the entropic bound (EB) provide a lower bound on the entropy production (EP) in terms of…

Statistical Mechanics · Physics 2024-08-06 Euijoon Kwon , Jong-Min Park , Jae Sung Lee , Yongjoo Baek

We study the non-equilibrium thermodynamics of a heat engine operating between two finite-sized reservoirs with well-defined temperatures. Within the linear response regime, it is found that the uniform temperature of the two reservoirs at…

Statistical Mechanics · Physics 2022-03-03 Hong Yuan , Yu-Han Ma , C. P. Sun

The efficiency of an heat engine is traditionally defined as the ratio of its average output work over its average input heat. Its highest possible value was discovered by Carnot in 1824 and is a cornerstone concept in thermodynamics. It…

Statistical Mechanics · Physics 2015-06-19 Gatien Verley , Tim Willaert , Christian Van den Broeck , Massimiliano Esposito

Heat engines extract work by running cyclically between two heat reservoirs. When the two reservoirs are thermal and at different temperatures, the maximum efficiency of the engine is given by the Carnot limit. Here we consider a quantum…

Quantum Physics · Physics 2014-02-03 Johannes Roßnagel , Obinna Abah , Ferdinand Schmidt-Kaler , Kilian Singer , Eric Lutz

The thermodynamic uncertainty relations provide a universal trade-offs between entropy dissipation rate and fluctuations in transport current. This relation has been mostly used to estimate a minimum entropy dissipation rate by…

Statistical Mechanics · Physics 2019-11-25 Jiawei Yan

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

We introduce heat engines working in the nano-regime that allow to extract a finite amount of deterministic work. We show that the efficiency of these cycles is strictly smaller than Carnot's, and we associate this difference with a…

Quantum Physics · Physics 2024-06-11 Federico Cerisola , Facundo Sapienza , Augusto Roncaglia

We derive an analytical expression for maximum efficiency at fixed power of heat pumps operating along a finite-time reverse Carnot cycle under the low-dissipation assumption. The result is cumbersome, but it implies simple formulas for…

Statistical Mechanics · Physics 2022-02-28 Zhuolin Ye , Viktor Holubec

Optimizing the performance of thermal machines is an essential task of thermodynamics. We here consider the optimization of information engines that convert information about the state of a system into work. We concretely introduce a…

Quantum Physics · Physics 2023-06-28 Paul Fadler , Alexander Friedenberger , Eric Lutz

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

We consider a class of quantum heat engines consisting of two subsystems interacting via a unitary transformation and coupled to two separate baths at different temperatures $T_h > T_c$. The purpose of the engine is to extract work due to…

Statistical Mechanics · Physics 2009-11-13 Armen E. Allahverdyan , Ramandeep S. Johal , Guenter Mahler

We study the possibility of achieving the Carnot efficiency in a finite-power underdamped Brownian Carnot cycle. Recently, it was reported that the Carnot efficiency is achievable in a general class of finite-power Carnot cycles in the…

Statistical Mechanics · Physics 2021-04-19 Kosuke Miura , Yuki Izumida , Koji Okuda

We investigate a heat engine under an adiabatic (Thouless) pumping process. In this process, the extracted work and lower bound on dissipated availability are characterized by a vector potential and a Riemannian metric tensor, respectively.…

Statistical Mechanics · Physics 2021-03-02 Yuki Hino , Hisao Hayakawa
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