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We study a nonequilibrium equation of states of an ideal quantum gas confined in the cavity under a moving piston with a small but finite velocity in the case that the cavity wall suddenly begins to move at time origin. Confining to the…

We investigate the efficiency at maximum power of an irreversible Carnot engine performing finite-time cycles between two reservoirs at temperatures $T_h$ and $T_c$ $(T_c<T_h)$, taking into account of internally dissipative friction in two…

Statistical Mechanics · Physics 2015-06-05 Jianhui Wang , Jizhou He

One particle in a classical perfect gas is driven out of equilibrium by changing its mass over a short time interval. The work done on the driven particle depends on its collisions with the other particles in the gas. This model thus…

Statistical Mechanics · Physics 2014-04-22 T. G. Philbin , J. Anders

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

We study the efficiency at maximum power, $\eta^*$, of engines performing finite-time Carnot cycles between a hot and a cold reservoir at temperatures $T_h$ and $T_c$, respectively. For engines reaching Carnot efficiency $\eta_C=1-T_c/T_h$…

Statistical Mechanics · Physics 2015-05-19 Massimiliano Esposito , Ryoichi Kawai , Katja Lindenberg , Christian Van den Broeck

Coarse-graining is central to reducing dimensionality in molecular dynamics, and is typically characterized by a mapping which projects the full state of the system to a smaller class of variables. While extensive literature has been…

Probability · Mathematics 2020-01-08 Frédéric Legoll , Tony Lelièvre , Upanshu Sharma

We present a general analytical framework for quasi-static quantum Stirling engines operating across ground-state level crossings (GLC). In the low-temperature regime, we derive the Primarch Formula, an exact universal expression linking…

Statistical Mechanics · Physics 2026-04-03 Bastian Castorene , Martin HvE Groves , Francisco J. Peña , Eugenio E. Vogel , Patricio Vargas

In the present work, a power law dissipative Carnot like heat engine cycle of two irreversible isothermal and two irreversible adiabatic processes with finite time non-adiabatic dissipation is considered and the efficiency under two…

Statistical Mechanics · Physics 2021-05-26 K. Nilavarasi , M. Ponmurugan

We formulate a phenomenological model to study the power applied by a cyclist on a velodrome\, -- \,for individual timetrials\, -- \,taking into account the straights, circular arcs, connecting transition curves and banking. The dissipative…

Classical Physics · Physics 2023-09-21 Len Bos , Michael A. Slawinski , Raphaël A. Slawinski , Theodore Stanoev

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

Here, we investigate the maximum power and corresponding efficiency of thermoelectric generators through devising a set of protocols for the isothermal and adiabatic processes of thermoelectricity to build a Carnot-like thermoelectric…

Applied Physics · Physics 2023-11-28 Yuchao Hua , Lingai Luo , Zeng-Yuan Guo

We study a heavy piston that separates finitely many ideal gas particles moving inside a one-dimensional gas chamber. Using averaging techniques, we prove precise rates of convergence of the actual motions of the piston to its averaged…

Dynamical Systems · Mathematics 2015-06-26 Paul Wright

We consider the toy model of quantum Diesel cycle without temperature constructed from non-interacting fermions, which are trapped in a one-dimensional box. The work and energy are extracted from the cycle are by changing the expectation…

Statistical Mechanics · Physics 2020-08-26 Satnam Singh , Shish Ram

We study the problem of thermoelectricity and propose a simple microscopic mechanism for the increase of thermoelectric efficiency. We consider the cross transport of particles and energy in open classical ergodic billiards. We show that,…

Statistical Mechanics · Physics 2011-09-08 Giulio Casati , Carlos Mejia-Monasterio , Tomaz Prosen

We present a comparison between the random motion of an adiabatic and a diathermal piston sliding in a perfect gas. In particular, their dynamical behaviour, if investigated by means of Langevin's approach, shows the amplitude of the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Bruno Crosignani , Paolo Di Porto , Claudio Conti

We derive the statistics of the efficiency under the assumption that thermodynamic fluxes fluctuate with normal law, parametrizing it in terms of time, macroscopic efficiency, and a coupling parameter $\zeta$. It has a peculiar behavior: No…

Statistical Mechanics · Physics 2015-02-19 Matteo Polettini , Gatien Verley , Massimiliano Esposito

It is common in many thermodynamic textbooks to illustrate the Carnot theorem through the usage of diverse state equations for gases, paramagnets, and other simple thermodynamic systems. As it is well-known, the universality of the Carnot…

Statistical Mechanics · Physics 2013-02-07 Julian Gonzalez-Ayala , F. Angulo-Brown

We investigate the efficiency of a quantum Carnot engine based on open quantum dynamics theory. The model includes time-dependent external fields for the subsystems controlling the isothermal and isentropic processes and for the…

Statistical Mechanics · Physics 2022-08-24 Shoki Koyanagi , Yoshitaka Tanimura

A heat engine operating in the one-shot finite-size regime, where systems composed of a small number of quantum particles interact with hot and cold baths and are restricted to one-shot measurements, delivers fluctuating work. Further,…

Quantum Physics · Physics 2021-02-15 Mohit Lal Bera , Maciej Lewenstein , Manabendra Nath Bera

This work investigates a relativistic quantum Otto engine with a harmonic oscillator as its working medium, analyzing how relativistic motion and nonadiabatic driving affect its performance and efficiency bounds. In the adiabatic regime, a…

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