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According to the second law of thermodynamics, for every transformation performed on a system which is in contact with an environment of fixed temperature, the extracted work is bounded by the decrease of the free energy of the system.…

Quantum Physics · Physics 2016-07-15 Vasco Cavina , Andrea Mari , Vittorio Giovannetti

An analysis of efficiency and its bounds at maximum work output for Carnot-like heat engines is conducted. The heat transfer processes are described by the linear law with time-dependent heat conductance. The upper bound of efficiency is…

Classical Physics · Physics 2014-06-04 Rui Long , Wei Liu

Extracting useful work from quantum systems is a fundamental problem in quantum thermodynamics. In scenarios where rapid protocols are desired -- whether due to practical constraints or deliberate design choices -- a fundamental trade-off…

Quantum Physics · Physics 2026-04-23 Shoki Sugimoto , Takahiro Sagawa , Ryusuke Hamazaki

What are the fundamental limitations placed by the laws of thermodynamics on the energy expenditure needed to carry out a given task in a nonequilibrium environment in finite time? In this thesis, we investigate "optimal nonequilibrium…

Statistical Mechanics · Physics 2025-09-30 Adrianne Zhong

A thermodynamic system is driven into a nonequilibrium condition when a time-dependent force or a nonconservative force represented by a protocol $\lambda(t)$ is applied. Such a system is time irreversible in the sense that the motion under…

Statistical Mechanics · Physics 2014-06-03 Jae Dong Noh

The Lorenz system was derived on the basis of a model of convective atmospheric motions and may serve as a paradigmatic model for considering a complex climate system. In this study, we formulated the thermodynamic efficiency of convective…

Chaotic Dynamics · Physics 2024-05-31 Zhen Li , Yuki Izumida

We discuss the limit cycle regime of a finite-time quantum Otto cycle with a frictionless two-dimensional anisotropic Ising model as the working fluid. From Onsagers exact equilibrium solution, we first find optimal parameters for the…

Statistical Mechanics · Physics 2025-07-22 S. P. Katoorani , C. Kohlfürst , F. Queisser , G. Schaller , R. Schützhold

We formulate an endoreversible finite-time Carnot cycle model based on the assumptions of local equilibrium and constant energy flux, where the efficiency and the power are expressed in terms of the thermodynamic variables of the working…

Statistical Mechanics · Physics 2015-09-30 Yuki Izumida , Koji Okuda

We investigate a kinetic heat engine model constituted by particles enclosed in a box where one side acts as a thermostat and the opposite side is a piston exerting a given pressure. Pressure and temperature are varied in a cyclical…

Statistical Mechanics · Physics 2016-04-19 Luca Cerino , Andrea Puglisi , Angelo Vulpiani

According to classical Boltzmannian thermodynamics, the efficiency of a cyclic machine is strictly lower than one. Such a result is a straightforward consequence of the second principle of thermodynamics. Recent advances in the study of the…

Statistical Mechanics · Physics 2011-03-29 Duccio Fanelli , Giovanni De Ninno , Alessio Turchi

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 formulate the work output and efficiency for linear irreversible heat engines working between a finite-sized hot heat source and an infinite-sized cold heat reservoir until the total system reaches the final thermal equilibrium state…

Statistical Mechanics · Physics 2015-06-17 Yuki Izumida , Koji Okuda

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 minimal-coupling quantum heat engine is a thermal machine consisting of an explicit energy storage system, heat baths, and a working body, which alternatively couples to subsystems through discrete strokes -- energy-conserving two-body…

Quantum Physics · Physics 2021-01-01 Marcin Łobejko , Paweł Mazurek , Michał Horodecki

Optimization of cyclic stochastic heat engines, a topic spanning decades of research, commonly assumes fixed control or response parameters at discrete points in the cycle-a limitation that often leads to experimentally impractical…

Statistical Mechanics · Physics 2025-07-02 Monojit Chatterjee , Viktor Holubec , Rahul Marathe

Active matter constantly dissipates energy to power the self-propulsion of its microscopic constituents. This opens the door to designing innovative cyclic engines without any equilibrium equivalent. We offer a consistent thermodynamic…

Soft Condensed Matter · Physics 2020-07-08 Timothy Ekeh , Michael E. Cates , Étienne Fodor

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

The development of efficient artificial nanodevices poses challenges which are of fundamental and technological nature. Recent progress has been made in the context of finite-time thermodynamics. A central question in finite-time…

Statistical Mechanics · Physics 2014-03-18 Mario Einax

In addition to the Riemannian metricization of the thermodynamic state space, local relaxation times offer a natural time scale, too. Generalizing existing proposals, we relate {\it thermodynamic} time scale to the standard kinetic…

Condensed Matter · Physics 2008-02-03 L. Diosi , K. Kulacsy , B. Lukacs , A. Rácz

Physical systems driven away from equilibrium by an external controller dissipate heat to the environment; the excess entropy production in the thermal reservoir can be interpreted as a "cost" to transform the system in a finite time. The…

Statistical Mechanics · Physics 2024-12-31 Jérémie Klinger , Grant M. Rotskoff