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For a small driven system coupled strongly to a heat bath, internal energy and exchanged heat are identified such that they obey the usual additive form of the first law. By identifying this exchanged heat with the entropy change of the…

统计力学 · 物理学 2016-02-03 Udo Seifert

In our recent letter [1] we discussed that thermodynamics is violated in quantum Brownian motion beyond the weak coupling limit. In his comment, Tasaki [2] derives an inequality for the relative entropy and claims, without making any…

统计力学 · 物理学 2007-05-23 A. E. Allahverdyan , Th. M. Nieuwenhuizen

In his ninth memoir Clausius summarizes the two principles of thermodynamics as follows: "The whole mechanical theory of heat rests on two fundamental theorems: that of equivalence of heat and work, and that of equivalence of…

统计力学 · 物理学 2023-06-08 Giovanni Jona-Lasinio

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

Several models of quantum open systems are known at present to violate, according to principles of the standard quantum theory of open systems, the second law of thermodynamics. Here, a new and rather trivial model of another type is…

统计力学 · 物理学 2007-05-23 V. Capek

We present an analysis of the foundations of the well known Clausius inequality. It is shown that, in general, the inequality is not a logical consequence of the Kelvin-Planck formulation of the second law of thermodynamics. Some thought…

经典物理 · 物理学 2012-04-24 Alexey V. Gavrilov

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

Hamiltonian mechanics can be used to constrain temperature simultaneously with energy. We illustrate the interesting situations that develop when two different temperatures are imposed within a composite Hamiltonian system. The model…

统计力学 · 物理学 2015-06-15 Wm. G. Hoover , Carol G. Hoover

A.E. Allahverdyan and Th. M. Nieuwenhuizen [1] in their paper "A mathematical theorem as a basis for the second law: Thomson's formulation applied to equilibriium" present a proof of the second law of thermodynamics based on quantum…

量子物理 · 物理学 2007-05-23 Dan Solomon

We design a heat engine with multi-heat-reservoir, ancillary system and quantum memory. We then derive an inequality related with the second law of thermodynamics, and give a new limitation about the work gain from the engine by analyzing…

量子物理 · 物理学 2017-11-09 Li-Hang Ren , Heng Fan

We present an analysis of the foundations of the well known Clausius inequality. It is shown that, strictly speaking, the inequality is not a logical consequence of the Kelvin-Planck formulation of the second law of thermodynamics. Some…

经典物理 · 物理学 2013-09-30 A. V. Gavrilov

The essential postulates of classical thermodynamics are formulated, from which the second law is deduced as the principle of increase of entropy in irreversible adiabatic processes that take one equilibrium state to another. The entropy…

软凝聚态物质 · 物理学 2009-10-30 Elliott H. Lieb , Jakob Yngvason

A scheme for treating the Second Law of thermodynamics as a constraint and accounting for the approximate nature of constitutive assumptions in continuum thermomechanics is discussed. An unconstrained, concave, variational principle is…

经典物理 · 物理学 2024-12-31 Amit Acharya

It is argued the the idea of a single temperature-like variable, introduced in [1], which enters a generalized second law for Markovian open system in non-equilibrium environment is not sufficient for a consistent and useful thermodynamic…

统计力学 · 物理学 2025-03-28 Robert Alicki

Some works have appeared in recent accredited literature considering the possibility of macroscopic violations of the second law in simulated as well as really executed experiments. We argue the inexistence of such violations in experiments…

综合物理 · 物理学 2018-05-09 Leonardo Chiatti

The second law of thermodynamics constitutes a fundamental principle of physics, precluding the existence of perpetual motion machines and providing a natural definition of the arrow of time. Its scope extends across virtually all areas of…

广义相对论与量子宇宙学 · 物理学 2025-10-21 Alejandro Corichi , Omar Gallegos

With a class of quantum heat engines which consists of two-energy-eigenstate systems undergoing, respectively, quantum adiabatic processes and energy exchanges with heat baths at different stages of a cycle, we are able to clarify some…

量子物理 · 物理学 2007-05-23 Tien D. Kieu

We report two results complementing the second law of thermodynamics for Markovian open quantum systems coupled to multiple reservoirs with different temperatures and chemical potentials. First, we derive a nonequilibrium free energy…

统计力学 · 物理学 2019-04-18 Krzysztof Ptaszynski , Massimiliano Esposito

Materials that are constantly driven out of thermodynamic equilibrium, such as active and living systems, typically violate the Einstein relation. This may arise from active contributions to particle fluctuations which are unrelated to the…

统计力学 · 物理学 2025-01-07 Benjamin Sorkin , Haim Diamant , Gil Ariel , Tomer Markovich

We speculate whether the second law of thermodynamics has more to do with Turing machines than steam pipes. It states the logical reversibility of reality as a computation, i.e., the fact that no information is forgotten: nature computes…

量子物理 · 物理学 2018-10-15 Stefan Wolf
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