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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

We study the efficiency of a simple quantum dot heat engine at maximum power. In contrast to the quasi-statically operated Carnot engine whose efficiency reaches the theoretical maximum, recent research on more realistic engines operated in…

Statistical Mechanics · Physics 2018-12-05 Sang Hoon Lee , Jaegon Um , Hyunggyu Park

A unified thermodynamic formalism describing the efficiency of learning is proposed. First, we derive an inequality, which is more strength than Clausius's inequality, revealing the lower bound of the entropy-production rate of a subsystem.…

Statistical Mechanics · Physics 2025-04-15 Shanhe Su , Ousi Pan , Shihao Xia , Jincan Chen , Chikako Uchiyama

We propose a generalized model of a heat engine and calculate the minimum and maximum bounds on the efficiency at maximum power. We obtain a universal form of generalized extreme bounds on the efficiency at maximum power. Our model unifies…

Statistical Mechanics · Physics 2020-01-29 M Ponmurugan

We establish a theory of optimal efficiency and power for three-terminal thermoelectric engines which have two independent output electric currents and one input heat current. This set-up goes beyond the conventional heat engines with only…

Mesoscale and Nanoscale Physics · Physics 2019-10-09 Jincheng Lu , Yefeng Liu , Rongqian Wang , Chen Wang , Jian-Hua Jiang

The optimal efficiency of quantum (or classical) heat engines whose heat baths are $n$-particle systems is given by the information geometry and the strong large deviation. We give the optimal work extraction process as a concrete…

Quantum Physics · Physics 2017-07-19 Hiroyasu Tajima , Masahito Hayashi

The trade-off between large power output, high efficiency and small fluctuations in the operation of heat engines has recently received interest in the context of thermodynamic uncertainty relations (TURs). Here we provide a concrete…

Mesoscale and Nanoscale Physics · Physics 2021-08-04 Sara Kheradsoud , Nastaran Dashti , Maciej Misiorny , Patrick P. Potts , Janine Splettstoesser , Peter Samuelsson

In this paper, we introduce a real symmetric and positive semi-definite matrix, which we call the non-equilibrium conductance matrix, and which generalizes the Onsager response matrix for a system in a non-equilibrium stationary state. We…

Statistical Mechanics · Physics 2018-02-16 Hadrien Vroylandt , David Lacoste , Gatien Verley

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

We present a unified perspective on nonequilibrium heat engines by generalizing nonlinear irreversible thermodynamics. For tight-coupling heat engines, a generic constitutive relation of nonlinear response accurate up to the quadratic order…

Statistical Mechanics · Physics 2015-03-06 Shiqi Sheng , Z. C. Tu

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

In systems described by the scattering theory, there is an upper bound, lower than Carnot, on the efficiency of steady-state heat to work conversion at a given output power. We show that interacting systems can overcome such bound and…

Statistical Mechanics · Physics 2018-08-27 Rongxiang Luo , Giuliano Benenti , Giulio Casati , Jiao Wang

We consider the quality factor Q, which quantifies the trade-off between power, efficiency, and fluctuations in steady-state heat engines modeled by dynamical systems. We show that the nonlinear scattering theory, both in classical and…

Statistical Mechanics · Physics 2020-10-28 Giuliano Benenti , Giulio Casati , Jiao Wang

The quest for good thermoelectric materials and/or high-efficiency thermoelectric devices is of primary importance from theoretical and practical points of view. Low-dimensional structures with quantum dots or molecules are promising…

Mesoscale and Nanoscale Physics · Physics 2020-01-24 Ulrich Eckern , Karol I. Wysokiński

We derive an efficiency bound for continuous quantum heat engines absorbing heat from squeezed thermal reservoirs. Our approach relies on a full-counting statistics description of nonequilibrium transport and it is not limited to the…

Statistical Mechanics · Physics 2018-02-05 Bijay Kumar Agarwalla , Jian-Hua Jiang , Dvira Segal

Carnot efficiency sets a fundamental upper bound on the heat engine efficiency, attainable in the quasi-static limit, albeit at the cost of completely sacrificing power output. In this Letter, we present a minimal heat engine model that can…

Statistical Mechanics · Physics 2025-01-17 Shiling Liang , Yu-Han Ma , Daniel Maria Busiello , Paolo De Los Rios

In this paper, we present first-order accurate numerical methods for solution of the heat equation with uncertain temperature-dependent thermal conductivity. Each algorithm yields a shared coefficient matrix for the ensemble set improving…

Numerical Analysis · Mathematics 2021-06-08 J. A. Fiordilino , M. Winger

Giving a universal upper bound on the power output of heat engines is a long-standing open problem. We tackle this problem for generic quantum machines in self-contained formulation by carefully including the switching process of the…

Quantum Physics · Physics 2018-01-03 Kosuke Ito , Takayuki Miyadera

Heat engines should ideally have large power output, operate close to Carnot efficiency and show constancy, i.e., exhibit only small fluctuations in this output. For steady-state heat engines, driven by a constant temperature difference…

Statistical Mechanics · Physics 2018-05-15 Patrick Pietzonka , Udo Seifert

The efficient conversion of thermal energy to mechanical work by a heat engine is an ongoing technological challenge. Since the pioneering work of Carnot, it is known that the efficiency of heat engines is bounded by a fundamental upper…

Mesoscale and Nanoscale Physics · Physics 2017-09-20 Jan Klaers , Stefan Faelt , Atac Imamoglu , Emre Togan