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We determine the statistics of work in isothermal volume changes of a classical ideal gas consisting of a single particle. Combining our results with the findings of Lua and Grosberg [J. Chem. Phys. B 109, 6805 (2005)] on adiabatic…

Statistical Mechanics · Physics 2015-06-15 Johannes Hoppenau , Markus Niemann , Andreas Engel

The derivation of the efficiency of Carnot cycle is usually done by calculating the heats involved in two isothermal processes and making use of the associated adiabatic relation for a given working substance's equation of state, usually…

Classical Physics · Physics 2007-05-23 Paulus C. Tjiang , Sylvia H. Sutanto

We demonstrate that a gas of classical particles trapped in an external asymmetric potential undergoes a quasiperiodic motion, if the temperature of its initial velocity distribution $T_{ne}$ differs from the equilibrium temperature,…

Statistical Mechanics · Physics 2008-01-24 M. F. Gelin , D. S. Kosov

We identify a velocity distribution function of ideal gas particles that is compatible with the local equilibrium assumption and the fundamental thermodynamic relation satisfying the endoreversibility. We find that this distribution is a…

Statistical Mechanics · Physics 2017-07-19 Yuki Izumida , Koji Okuda

We consider a heavy piston in an infinite cylinder surrounded by ideal gases on both sides. The piston moves under elastic collisions with gas atoms. We assume here that the gases always exert equal pressures on the piston, hence the piston…

Statistical Mechanics · Physics 2007-05-23 N. Chernov

Carnot's four-part ideal-gas cycle includes both isothermal and adiabatic expansions and compressions. Analyzing this cycle provides the fundamental basis for statistical thermodynamics. We explore the cycle here from a pedagogical view in…

Statistical Mechanics · Physics 2022-02-11 William Graham Hoover , Carol Griswold Hoover

We want to understand whether and to which extent the maximal (Carnot) efficiency for heat engines can be reached at a finite power. To this end we generalize the Carnot cycle so that it is not restricted to slow processes. We show that for…

Statistical Mechanics · Physics 2013-12-16 Armen E. Allahverdyan , Karen V. Hovhannisyan , Alexey V. Melkikh , Sasun G. Gevorkian

A single driven spin is investigated as the working substance of a six-stroke irreversible quantum Carnot cycle. The role of inner friction associated with the finite-time adiabatic transformations on the cycle efficiency and the harvested…

Quantum Physics · Physics 2020-02-05 Selçuk Çakmak , Ferdi Altintas

We consider the optimization of a finite-time Carnot engine characterized by small dissipations. We bound the power with a simple inequality and show that the optimal strategy is to perform small cycles around a given working point, which…

Quantum Physics · Physics 2020-03-23 Paolo Abiuso , Martí Perarnau-Llobet

The Carnot cycle is a prototype of ideal heat engine to draw mechanical energy from the heat flux between two thermal baths with the maximum efficiency, dubbed as the Carnot efficiency $\eta_{\mathrm{C}}$. Such efficiency can only be…

Statistical Mechanics · Physics 2022-06-22 Ruo-Xun Zhai , Fang-Ming Cui , Yu-Han Ma , C. P. Sun , Hui Dong

Engineering Thermodynamics has been the core course of many science and engineering majors around the world, including energy and power, mechanical engineering, civil engineering, aerospace, cryogenic refrigeration, food engineering,…

Physics Education · Physics 2021-01-19 Di He , Zhipeng Duan , Chaojun Wang , Boshu He

Thermodynamic gas power cycles achieving Carnot efficiency require isothermal expansion, which is associated with slow processes and results in negligible power output. This study proposes a practical method for rapid near-isothermal gas…

A cyclic thermodynamic heat engine runs most efficiently if it is reversible. Carnot constructed such a reversible heat engine by combining adiabatic and isothermal processes for a system containing an ideal gas. Here, we present an example…

Quantum Physics · Physics 2009-11-06 C. M. Bender , D. C. Brody , B. K. Meister

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

Thermodynamics is traditionally concerned with systems comprised of a large number of particles. Here we present a framework for extending thermodynamics to individual quantum systems, including explicitly a thermal bath and work-storage…

Quantum Physics · Physics 2014-09-29 Paul Skrzypczyk , Anthony J. Short , Sandu Popescu

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 consider both Otto and Diesel heat engine cycles running upon the working substances modeled by the van der Waals fluid as a simple non-ideal gas model. We extensively perform the efficiency study in these model engines. Then we find…

Statistical Mechanics · Physics 2017-01-20 Abhimanyu S Madakavil , Ilki Kim

We consider the adiabatic and quasi-static compression of a dilute classical gas, confined in a piston and initially equilibrated with a heat bath. We find that the work performed during this process is described statistically by a gamma…

Statistical Mechanics · Physics 2007-05-23 Gavin E. Crooks , Christopher Jarzynski

The quantum engine cycle serves as an analogous representation of classical heat engines for microscopic systems and the quantum regime of thermal devices is composed of a single element. In this work, the Quantum-Mechanical properties of a…

Originally, the Carnot cycle is a theoretical thermodynamic cycle that provides an upper limit on the efficiency that any classical thermodynamic engine can achieve during the conversion of heat into work, or conversely, the efficiency of a…

General Finance · Quantitative Finance 2018-12-20 Constantin Udriste , Vladimir Golubyatnikov , Ionel Tevy
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