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Despite its simplicity, it seems to my best of knowledge that the possibly simplest approach towards deriving equations governing irreversible thermodynamics from gas-kinetic considerations within the framework of classical mechanics has…

Classical Physics · Physics 2016-08-22 Rudolf A. Hanel

We present a study of the performance of endoreversible thermal machines optimized with respect to the thermodynamic force associated with the cold bath in the regime of small thermodynamic forces. These thermal machines can work either as…

Quantum Physics · Physics 2016-04-11 José P. Palao , Luis A. Correa , Gerardo Adesso , Daniel Alonso

In thermodynamics, there exists a conventional belief that "the Carnot efficiency is reachable only when a process is reversible." However, there is no theorem proving that the Carnot efficiency is unattainable in an irreversible process.…

Statistical Mechanics · Physics 2017-09-15 Jae Sung Lee , Hyunggyu Park

In Markovian dynamics with the local detailed balance condition, we decompose the total entropy production rate into microscopic transitions. By applying this decomposition to the heat to work conversion process, we rigorously show that the…

Statistical Mechanics · Physics 2016-05-04 Naoto Shiraishi , Keiji Saito

This work obtains the efficiency at maximum power for a stochastic heat engine performing Carnot-like, Stirling-like and Ericsson-like cycles. For the mesoscopic engine a Brownian particle trapped by an optical tweezers is considered. The…

Statistical Mechanics · Physics 2023-08-02 O. Contreras-Vergara , N. Sánchez-Salas , G. Valencia-Ortega , J. I. Jiménez-Aquino

Starting with Carnot engine, the ideal efficiency of a heat engine has been associated with quasi-static transformations and vanishingly small output power. Here, we exactly calculate the thermodynamic properties of a isothermal heat…

What are the fundamental limitations for finite-time engines that extract work from active nonequilibrium systems, and what are the optimal protocols that approach them? We show that the finite-time work extraction for nonconservative…

Statistical Mechanics · Physics 2025-12-22 Adrianne Zhong , Adam G. Frim , Michael R. DeWeese

The derivation of general performance benchmarks is important in the design of highly optimized heat engines and refrigerators. To obtain them, one may model phenomenologically the leading sources of irreversibility ending up with results…

Quantum Physics · Physics 2015-01-06 Luis A. Correa , José P. Palao , Gerardo Adesso , Daniel Alonso

We derive thermodynamically consistent models of reaction-diffusion equations coupled to a heat equation. While the total energy is conserved, the total entropy serves as a driving functional such that the full coupled system is a gradient…

Analysis of PDEs · Mathematics 2018-10-16 Jan Haskovec , Sabine Hittmeir , Peter Markowich , Alexander Mielke

Thermoelectricity is traditionally explained via Onsager's irreversible, flux-force framework. The coupled flows of heat and electric charge are modelled as steady-state flows, driven by the thermodynamic forces defined in terms of the…

Statistical Mechanics · Physics 2022-01-03 Jasleen Kaur , Ramandeep S. Johal

We study how to achieve the ultimate power in the simplest, yet non trivial, model of a thermal machine, namely a two-level quantum system coupled to two thermal baths. Without making any prior assumption on the protocol, via optimal…

Quantum Physics · Physics 2019-11-07 Paolo Andrea Erdman , Vasco Cavina , Rosario Fazio , Fabio Taddei , Vittorio Giovannetti

We model a Brownian heat engine as a Brownian particle that hops in a periodic ratchet potential where the ratchet potential is coupled with a linearly decreasing background temperature. It is shown that the efficiency of such Brownian heat…

Statistical Mechanics · Physics 2016-06-29 Mesfin Asfaw Taye

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

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 optimization of the performance of arbitrary periodically driven thermal machines. Within the assumption of fast modulation of the driving parameters, we derive the optimal cycle that universally maximizes the extracted power…

Quantum Physics · Physics 2021-10-04 Vasco Cavina , Paolo A. Erdman , Paolo Abiuso , Leonardo Tolomeo , Vittorio Giovannetti

The constraint relation for efficiency and power is crucial to design optimal heat engines operating within finite time. We find a universal constraint between efficiency and output power for heat engines operating in the low-dissipation…

Quantum Physics · Physics 2018-10-09 Yu-Han Ma , Dazhi Xu , Hui Dong , Chang-Pu Sun

Heat engines constitute the major building blocks of modern technologies. However, conventional heat engines with higher power yield lesser efficiency and vice versa and respect various power-efficiency trade-off relations. This is also…

Quantum Physics · Physics 2022-03-04 Mohit Lal Bera , Sergi Julià-Farré , Maciej Lewenstein , Manabendra Nath Bera

We employ the recently developed framework of the energetics of stochastic processes (called `stochastic energetics'), to re-analyze the Carnot cycle in detail, taking account of fluctuations, without taking the thermodynamic limit. We find…

Statistical Mechanics · Physics 2009-10-31 Ken Sekimoto , Fumiko Takagi , Tsuyoshi Hondou

In traditional thermodynamics the Carnot cycle yields the ideal performance bound of heat engines and refrigerators. We propose and analyze a minimal model of a heat machine that can play a similar role in quantum regimes. The minimal model…

Quantum Physics · Physics 2013-01-30 David Gelbwaser-Klimovsky , Robert Alicki , Gershon Kurizki

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