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We study the stochastic energetic exchanges in quantum heat engines. Due to microreversibility, these obey a fluctuation relation, called the heat engine fluctuation relation, which implies the Carnot bound: no machine can have an…

Quantum Physics · Physics 2015-03-24 Michele Campisi , Jukka Pekola , Rosario Fazio

We present the spin quantum Otto machine under different optimization criterion when function either as a heat engine or a refrigerator. We examine the optimal performance of the heat engine and refrigerator depending on their efficiency,…

Statistical Mechanics · Physics 2020-08-13 Satnam Singh , Obinna Abah

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

From thermodynamics point of view, in this era of aiming at energy conservation and sustainability, we need to develop more accurate ways to design thermal power, cooling and heat pump cycles. It has been the general practice in…

Statistical Mechanics · Physics 2013-07-23 GA Mansoori

In this work, we mainly present the optimal convergence rates of the temporally second-order finite element scheme for solving the electrohydrodynamic equation. Suffering from the highly coupled nonlinearity, the convergence analysis of the…

Numerical Analysis · Mathematics 2025-05-06 Shengfeng Wang , Zeyu Xia , Maojun Li

The stochastic efficiency [G. Verley et al., Nat. Commun. 5, 4721 (2014)] was introduced to evaluate the performance of energy-conversion machines in micro-scale. However, such an efficiency generally diverges when no heat is absorbed while…

Statistical Mechanics · Physics 2022-03-02 Zhayu Fei , Jin-Fu Chen , Yu-Han Ma

Quantum coherence has been demonstrated in various systems including organic solar cells and solid state devices. In this letter, we report the lower and upper bounds for the performance of quantum heat engines determined by the efficiency…

Quantum Physics · Physics 2018-04-18 Konstantin E. Dorfman , Dazhi Xu , Jianshu Cao

The second law of thermodynamics constrains that the efficiency of heat engines, classical or quantum, cannot be greater than the universal Carnot efficiency. We discover another bound for the efficiency of a quantum Otto heat engine…

Statistical Mechanics · Physics 2019-08-07 Jong-Min Park , Sangyun Lee , Hyun-Myung Chun , Jae Dong Noh

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

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

We propose a simple classical dynamical model of a thermoelectric (or thermochemical) heat engine based on a pair of ideal gas containers connected by two unequal scattering channels. The model is solved analytically and it is shown that a…

Statistical Mechanics · Physics 2009-06-18 Martin Horvat , Tomaz Prosen , Giulio Casati

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

Classically, the power generated by an ideal thermal machine cannot be larger than the Carnot limit. This profound result is rooted in the second law of thermodynamics. A hot question is whether this bound is still valid for microengines…

Mesoscale and Nanoscale Physics · Physics 2022-05-09 Sungguen Ryu , Rosa López , Llorenç Serra , David Sanchez

The second law of thermodynamics can be described as the non-decreasing of the entropy in the irreversible thermodynamic process. Such phenomenon can be quantitatively evaluated with the irreversible entropy generation (IEG), which was…

Statistical Mechanics · Physics 2020-11-25 Yu-Han Ma , Ruo-Xun Zhai , Chang-Pu Sun , Hui Dong

We optimize finite-time stochastic heat engines with a periodically scaled Hamiltonian under experimentally motivated constraints on the bath temperature $T$ and the scaling parameter $\lambda$. We present a general geometric proof that…

Statistical Mechanics · Physics 2022-11-28 Zhuolin Ye , Federico Cerisola , Paolo Abiuso , Janet Anders , Martí Perarnau-Llobet , Viktor Holubec

Mesoscopic thermoelectric heat engine is much anticipated as a device that allows us to utilize with high efficiency wasted heat inaccessible by conventional heat engines. However, the derivation of the heat current in this engine seems to…

Statistical Mechanics · Physics 2015-11-24 Kaoru Yamamoto , Naomichi Hatano

In this letter, we study the energy-optimal control of nonlinear port-Hamiltonian (pH) systems in discrete time. For continuous-time pH systems, energy-optimal control problems are strictly dissipative by design. This property, stating that…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Arijit Sarkar , Vaibhav Kumar Singh , Manuel Schaller , Karl Worthmann

The efficiency and cooling power of a two-terminal thermoelectric refrigerator are analyzed near the limit of vanishing dissipation (ideal system), where the optimal efficiency is the Carnot one, but the cooling power then unfortunately…

Mesoscale and Nanoscale Physics · Physics 2014-01-22 O. Entin-Wohlman , J-H Jiang , Y. Imry

Machine learning models must continuously self-adjust themselves for novel data distribution in the open world. As the predominant principle, entropy minimization (EM) has been proven to be a simple yet effective cornerstone in existing…

Machine Learning · Statistics 2024-10-16 Qingyang Zhang , Yatao Bian , Xinke Kong , Peilin Zhao , Changqing Zhang

We study temperature fluctuations in mesoscopic $N$-body systems undergoing non-equilibrium processes from the perspective of stochastic thermodynamics. By introducing a stochastic differential equation, we describe the evolution of the…

Statistical Mechanics · Physics 2026-05-19 Zhaoyu Fei , Yu-Han Ma