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Classical thermodynamics aimed to quantify the efficiency of thermodynamic engines by bounding the maximal amount of mechanical energy produced compared to the amount of heat required. While this was accomplished early on, by Carnot and…

Optimization and Control · Mathematics 2020-01-22 Rui Fu , Amirhossein Taghvaei , Yongxin Chen , Tryphon T. Georgiou

The second law of thermodynamics sets a lower bound on the work required to drive a system between thermal equilibrium states, with equality attained in the quasistatic limit. For finite-time processes, part of the extractable work is…

Quantum Physics · Physics 2025-11-20 Masaaki Tokieda

Collisional Brownian engines have been proposed as alternatives for nonequilibrium nanoscale engines. However, most studies have focused on the simpler overdamped case, leaving the role of inertia much less explored. In this work, we…

Statistical Mechanics · Physics 2024-07-02 Gustavo A. L. Forão , Fernando S. Filho , Bruno A. N. Akasaki , Carlos E. Fiore

The finite time operation of a quantum Otto heat engine leads to a trade-off between efficiency and output power, which is due to the deviation of the system from the adiabatic path. This trade-off caveat can be bypassed by using the…

Quantum Physics · Physics 2024-12-31 Krishna Shende , Matreyee Kandpal , Arvind , Kavita Dorai

We model a microscopic heat engine as a particle hopping on a one-dimensional lattice in a periodic sawtooth potential, with or without load, assisted by the thermal kicks it gets from alternately placed hot and cold thermal baths. We find…

Statistical Mechanics · Physics 2009-11-11 Mesfin Asfaw , Mulugeta Bekele

The optimization of the conversion of thermal energy into work and the minimization of dissipation for nano- and mesoscopic systems is a complex challenge because of the important role fluctuations play on the dynamics of small systems. We…

Quantum Physics · Physics 2025-09-24 Alberto Rolandi

Complex and even non-monotonic responses to external control can be found in many thermodynamic systems. In such systems, non-equilibrium shortcuts can rapidly drive the system from an initial state to a desired final state. One example is…

Statistical Mechanics · Physics 2023-04-28 Supraja S. Chittari , Zhiyue Lu

In a quantum Stirling heat engine, the heat exchanged with two thermal baths is partly utilized for performing work by redistributing the energy levels of the working substance. We analyze the thermodynamics of a quantum Stirling engine…

Quantum Physics · Physics 2023-08-01 Debmalya Das , George Thomas , Andrew N. Jordan

The Carnot engine sets an upper limit to the efficiency of a practical heat engine. An arbitrary irreversible engine is sometimes believed to behave closely as the Curzon-Ahlborn engine. Efficiency of the latter is obtained commonly by…

Chemical Physics · Physics 2016-06-17 Kamal Bhattacharyya

Brownian particles interacting sequentially with distinct temperatures and driving forces at each stroke have been tackled as a reliable alternative for the construction of engine setups. However they can behave very inefficiently depending…

Statistical Mechanics · Physics 2022-12-28 Iago N. Mamede , Angel L. L. Stable , C. E. Fiore

A Brownian information machine extracts work from a heat bath through a feedback process that exploits the information acquired in a measurement. For the paradigmatic case of a particle trapped in a harmonic potential, we determine how…

Statistical Mechanics · Physics 2012-04-09 Michael Bauer , David Abreu , Udo Seifert

Abstract The Curzon-Ahlborn (CA) efficiency, as the efficiency at the maximum power (EMP) of the endoreversible Carnot engine, has a significant impact on finite-time thermodynamics. However, the CA engine model is based on many…

Statistical Mechanics · Physics 2022-09-19 Y. H. Chen , Jin-Fu Chen , Zhaoyu Fei , H. T. Quan

The nonequilibrium thermodynamics feature of a Brownian motor operating between two different heat baths is explored as a function of time $t$. Using the Gibbs entropy and Schnakenberg microscopic stochastic approach, we find exact closed…

Statistical Mechanics · Physics 2015-07-08 Mesfin Asfaw Taye

We consider a three-stroke engine in the microscopic regime, where the working body of the engine is composed of a two-level system. The working body of the engine aims to withdraw heat from the hot heat bath, generate work, and discharge…

Quantum Physics · Physics 2024-10-01 Tanmoy Biswas , Chandan Datta

Stochastic resetting is a driving mechanism that is known to minimize the first passage time to reach a target, at the cost of energy expenditure. The choice of the physical implementation of each resetting event determines the tradeoff…

Statistical Mechanics · Physics 2025-07-29 Rémi Goerlich , Kristian Stølevik Olsen , Hartmut Löwen , Yael Roichman

We investigate the performance of an underdamped stochastic heat engine for a time-dependent harmonic oscillator. We analytically determine the optimal protocol that maximizes the efficiency at fixed power. The maximum efficiency reduces to…

Statistical Mechanics · Physics 2017-12-06 Andreas Dechant , Nikolai Kiesel , Eric Lutz

We revisit the optimization of performance of finite-time Carnot machines satisfying the low-dissipation assumption. The standard procedure seeks to optimize an objective function, such as power output of the engine, over the durations of…

Statistical Mechanics · Physics 2019-11-06 Ramandeep S. Johal

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

When do non-equilibrium forms of disordered energy qualify as heat? \textcolor{blue}{We address this question in the context of cyclically operating heat engines in contact with a non-equilibrium energy reservoir that defies the zeroth law…

Statistical Mechanics · Physics 2020-11-25 Viktor Holubec , Stefano Steffenoni , Gianmaria Falasco , Klaus Kroy

Nonadiabatic unitary evolution with tailored time-dependent Hamiltonians can prepare systems of cold atomic gases with various desired properties. For a system of two one-dimensional quasicondensates coupled with a time-varying tunneling…

Quantum Gases · Physics 2013-04-09 Armin Rahmani , Takuya Kitagawa , Eugene Demler , Claudio Chamon