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R. Clausius proved Carnot's theorem basing on postulate "Heat cannot, of itself, pass from a colder to a hotter body". Alexander Gukhman demonstrated that Carnot's theorem can be proved based on the postulate "Heat cannot, of itself, pass…

物理学史与哲学 · 物理学 2013-03-12 V. Ihnatovych

The Carnot theory is unique among the theories of heat developed before the emergence of thermodynamics because it considers the relationship between heat and work. The theory is contained in Carnot's book published in 1824, which includes…

物理学史与哲学 · 物理学 2025-08-26 Mário José de Oliveira

Thomson's formulation of the second law - no work can be extracted from a system coupled to a bath through a cyclic process - is believed to be a fundamental principle of nature. For the equilibrium situation a simple proof is presented,…

统计力学 · 物理学 2009-11-07 Armen E. Allahverdyan , Roger Balian , Theo M. Nieuwenhuizen

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…

统计力学 · 物理学 2013-02-07 Julian Gonzalez-Ayala , F. Angulo-Brown

We discuss a simple toy model which allows, in a natural way, for deriving central facts from thermodynamics such as its fundamental laws, including Carnot's version of the second principle. Our viewpoint represents thermodynamic systems as…

量子物理 · 物理学 2022-05-17 Ämin Baumeler , Carla Rieger , Stefan Wolf

The third law of thermodynamics has a controversial past and a number of formulations due to Planck, Einstein, and Nernst. It's most accepted version, the unattainability principle, states that "any thermodynamic process cannot reach the…

量子物理 · 物理学 2019-11-13 Lluis Masanes , Jonathan Oppenheim

Carnot's theorem poses a fundamental limit on the maximum efficiency achievable from an engine that works between two reservoirs at thermal equilibrium. We extend this result to the case of arbitrary nonthermal stationary reservoirs, even…

量子物理 · 物理学 2011-11-23 Simone De Liberato , Masahito Ueda

The interplay between quantum-mechanical properties, such as coherence, and classical notions, such as energy, is a subtle topic at the forefront of quantum thermodynamics. The traditional Carnot argument limits the conversion of heat to…

量子物理 · 物理学 2016-02-23 Kamil Korzekwa , Matteo Lostaglio , Jonathan Oppenheim , David Jennings

The controversial existence of negative temperatures has stirred interesting debates that have reached the foundations of thermodynamics, including questions on the second law, the Carnot efficiency and the statistical definition of…

统计力学 · 物理学 2019-06-26 Salvatore Calabrese , Amilcare Porporato

One general consequence of the Nernst theorem is derived, i.e., the various heat capacities of a thermodynamic system under different constraints approach zero as the temperature approaches absolute zero. The temperature dependence of the…

统计力学 · 物理学 2023-03-15 Shanhe Su , Yinghui Zhou , Guozhen Su , Jincan Chen

The Carnot theorem, one expression of the second law of thermodynamics, places a fundamental upper bound on the efficiency of heat engines operating between two heat baths. The Carnot theorem can be stated in a more generalized form for…

统计力学 · 物理学 2022-06-03 Yuki Izumida

While Carnot's model engines demonstrate ideal performances regarding conversion efficiency, they cannot be actually used as energy converters since they are non causal systems. Such an unphysical behavior indeed restrains the working…

统计力学 · 物理学 2016-12-15 Y. Apertet

In this work, the relationship between Carnot engine and Szil\'ard engine was discussed. By defining the available information about the temperature difference between two heat reservoirs, the Carnot engine was found to have a same physical…

经典物理 · 物理学 2016-11-28 Liangsuo Shu , Xiaokang Liu , Suyi Huang , Shiping Jin

Carnot established in 1824 that the efficiency of cyclic engines operating between a hot bath at absolute temperature $T_{hot}$ and a bath at a lower temperature $T_{cold}$ cannot exceed $1-T_{cold}/T_{hot}$. We show that linear oscillators…

物理教育 · 物理学 2016-09-08 J. Arnaud , L. Chusseau , F. Philippe

Mechanics can be founded in a principle stating the uncertainty in the position of an observable particle delta-q as a function of its motion relative to the observer, expressed in a trajectory representation . From this principle,…

综合物理 · 物理学 2007-05-23 Adrian Faigon

The Nernst heat theorem is probed from purely thermodynamic arguments connected with the second law of thermodynamics, and alien to the vanishing of the specific heats, or to the unattainability of the zeroth isotherm. If the proof is…

经典物理 · 物理学 2025-06-16 José-María Martín-Olalla

For a general thermodynamic system described as a Markov process, we prove a general lower bound for dissipation in terms of the square of the heat current, thus establishing that nonvanishing current inevitably implies dissipation. This…

统计力学 · 物理学 2016-11-02 Naoto Shiraishi , Keiji Saito , Hal Tasaki

The Carnot statement of the second law of thermodynamics poses an upper limit on the efficiency of all heat engines. Recently, it has been studied whether generic quantum features such as coherence and quantum entanglement could allow for…

统计力学 · 物理学 2015-10-14 Bartłomiej Gardas , Sebastian Deffner

Following the result by Skrzypczyk et al., arXiv:1009.0865, that certain self-contained quantum thermal machines can reach Carnot efficiency, we discuss the functioning of self-contained quantum thermal machines and show, in a very general…

量子物理 · 物理学 2010-09-15 Sandu Popescu

We study a thermal engine model for which Newton's cooling law is obeyed during heat transfer processes. The thermal efficiency and its bounds at maximum output power are derived and discussed. This model, though quite simple, can be…

统计力学 · 物理学 2012-11-30 H. Yan , Hao Guo
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