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We construct an example of heat engine whose efficiency at maximum power breaks down the previously derived bounds in the linear response regime. Such example takes a classical harmonic oscillator as the working substance undergoing a…

Statistical Mechanics · Physics 2019-12-04 Marcus V. S. Bonança

In the thermodynamic analysis of thermoelectric devices, typical irreversibilities are for the processes of finite-rate heat transfer, heat leak and Joule heating. Approximate analyses often focus on either internal or external…

Statistical Mechanics · Physics 2025-08-07 Rajeshree Chakraborty , Ramandeep S. Johal

A new universality in optimization of trade-off between power and efficiency for low-dissipation Carnot cycles is presented. It is shown that any trade-off measure expressible in terms of efficiency and the ratio of power to its maximum…

Statistical Mechanics · Physics 2016-05-05 Viktor Holubec , Artem Ryabov

It was reported that, if and only if the specific heat, correlation length, and dynamical exponents $\alpha, \nu$ and $z$, fulfill the condition $\alpha-z\nu>0$, the phase transitions can enable a quantum heat engine to approach Carnot…

Statistical Mechanics · Physics 2022-02-16 Jianhui Wang , Jizhou He , Yongli Ma

The Carnot statement of the second law of thermodynamics poses an upper limit on the efficiency of all heat engines. Recently, it has been studied whether generic quantum features such as coherence and quantum entanglement could allow for…

Statistical Mechanics · Physics 2015-10-14 Bartłomiej Gardas , Sebastian Deffner

A role of the superposition principle is discussed for the quantum-mechanical Carnot engine introduced by Bender, Brody, and Meister [J. Phys. A 33, 4427 (2000)]. It is shown that the efficiency of the engine can be enhanced by…

Statistical Mechanics · Physics 2015-06-03 Sumiyoshi Abe , Shinji Okuyama

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

Relativistic thermal devices offer a unique platform for understanding the interplay between motion, quantum fields, and thermodynamics, revealing phenomena inaccessible to stationary systems. We consider a two-qubit SWAP heat engine whose…

Quantum Physics · Physics 2025-08-18 Dimitris Moustos , Obinna Abah

It is known that an engine with ideal efficiency ($\eta =1$ for a chemical engine and $e = e_{\rm Carnot}$ for a thermal one) has zero power because a reversible cycle takes an infinite time. However, at least from a theoretical point of…

Chemical Physics · Physics 2016-11-22 Jesper Koning , Joseph O. Indekeu

An equilibrium reversible cycle with a certain engine to transduce the energy of any chemical reaction into mechanical energy is proposed. The efficiency for chemical energy transduction is also defined so as to be compared with Carnot…

Soft Condensed Matter · Physics 2009-10-30 Tatsuo Shibata , Shin-ichi Sasa

This paper shows a fundamental thermodynamic similarity between thermoelectric and photovoltaic energy converters which, at open circuit, can be represented as isochoric engines generating a finite chemical potential which appears as…

Applied Physics · Physics 2025-11-21 Tom Markvart

The fast-forward (FF) scheme proposed by Masuda and Nakamura (\textit{Proc. R. Soc. A} \textbf{466}, 1135 (2010)) in the context of conservative quantum dynamics can reproduce a quasi-static dynamics in an arbitrarily short time. We apply…

Statistical Mechanics · Physics 2020-07-22 Katsuhiro Nakamura , Jasur Matrasulov , Yuki Izumida

We propose a new connection between maximum-power Curzon-Ahlborn thermal cycles and maximum-work reversible cycles. This linkage is built through a mapping between the exponents of a class of heat transfer laws and the exponents of a family…

Statistical Mechanics · Physics 2015-06-17 Julian Gonzalez-Ayala , L. A. Arias-Hernandez , F. Angulo-Brown

We use the general formulation of irreversible thermodynamics and study the minimally nonlinear irreversible model of heat engines operating between a time-varying hot heat source of finite size and a cold heat reservoir of infinite size.…

Statistical Mechanics · Physics 2018-11-27 M. Ponmurugan

According to the second law, the efficiency of cyclic heat engines is limited by the Carnot bound that is attained by engines that operate between two thermal baths under the reversibility condition whereby the total entropy does not…

Quantum Physics · Physics 2018-01-12 Wolfgang Niedenzu , Victor Mukherjee , Arnab Ghosh , Abraham G. Kofman , Gershon Kurizki

We quantify the prior information to infer the optimal characteristics for a constrained thermodynamic process of maximum work extraction for a pair of non-identical finite systems. The total entropy of the whole system remains conserved.…

Statistical Mechanics · Physics 2016-01-20 Preety Aneja , Harsh Katyayan , Ramandeep S. Johal

In their work [J. Phys. A: Math. Gen. 33, 4427 (2000)], Bender, Brody, and Meister have shown by employing a two-state model of a particle confined in the one-dimensional infinite potential well that it is possible to construct a…

Statistical Mechanics · Physics 2015-05-20 Sumiyoshi Abe

Optimisation of heat engines at the micro-scale has applications in biological and artificial nano-technology, and stimulates theoretical research in non-equilibrium statistical physics. Here we consider non-interacting overdamped particles…

Soft Condensed Matter · Physics 2021-06-02 Giulia Gronchi , Andrea Puglisi

The unavoidable irreversible losses of power in a heat engine are found to be of quantum origin. Following thermodynamic tradition a model quantum heat engine operating by the Otto cycle is analyzed. The working medium of the model is…

Quantum Physics · Physics 2009-11-13 Yair Rezek , Ronnie Kosloff

A quantum heat engine of a specific type is studied. This engine contains a single particle confined in the infinite square well potential with variable width and consists of three processes: the isoenergetic process (which has no classical…

Statistical Mechanics · Physics 2016-03-17 Congjie Ou , Sumiyoshi Abe