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Similarity between quantum mechanics and thermodynamics is discussed. It is found that if the Clausius equality is imposed on the Shannon entropy and the analogue of the heat quantity, then the value of the Shannon entropy comes to formally…

统计力学 · 物理学 2015-05-20 Sumiyoshi Abe , Shinji Okuyama

Second law of thermodynamics can be apparently violated for systems whose dynamics depends on acquired information by measurement. However, when one consider measurement and erasure process together along with the system it saves the second…

统计力学 · 物理学 2016-11-08 Shubhashis Rana , A. M. Jayannavar

The second law of thermodynamics is a fundamental law of Nature. It is almost universally associated with the Clausius inequality that lower bounds a change in entropy by the ratio of supplied heat and temperature. However, this result…

量子气体 · 物理学 2020-05-11 Daniel Mayer , Eric Lutz , Artur Widera

The second law of thermodynamics tells us which state transformations are so statistically unlikely that they are effectively forbidden. Its original formulation, due to Clausius, states that "Heat can never pass from a colder to a warmer…

The example of macroscopic thermodynamical system violating the Clausius inequality is presented.

综合物理 · 物理学 2007-05-23 A. V. Gavrilov

A review is given on the thermodynamical structure of bipartite entanglement. By comparing it to the axiomatic formulation of thermodynamics presented by Giles it is shown that for finite dimensional systems the two theories are formally…

量子物理 · 物理学 2016-04-11 Nikolaos K. Kollas

We analyze an autonomous micro-engine as a closed quantum mechanical system, including the work it performs and the fuel it consumes. Our model system shows by example that it is possible to transfer energy steadily and spontaneously…

统计力学 · 物理学 2013-04-12 Lukas Gilz , Eike P. Thesing , James R. Anglin

We obtain generalizations of the Kelvin-Planck, Clausius, and Carnot statements of the second law of thermodynamics, for situations involving information processing. To this end, we consider an information reservoir (representing, e.g. a…

统计力学 · 物理学 2013-10-21 Sebastian Deffner , Christopher Jarzynski

The explanation of the apparent universality of thermodynamics points toward the extension of the usual conceptual background of the second law. Arguments are collected that a basic guiding idea of stability of thermodynamic equilibrium…

经典物理 · 物理学 2014-07-23 P. Ván

This article is a short version of a longer article to appear in Physics Reports (cond-mat/9708200). The essential postulates of classical thermodynamics are formulated, from which the second law is deduced as the principle of increase of…

数学物理 · 物理学 2007-05-23 Elliott H. Lieb , Jakob Yngvason

Clausius' statement of the second law of thermodynamics reads: Heat will flow spontaneously from a hot to cold reservoir. This statement should hold for transport of energy through a quantum network composed of small subsystems each coupled…

量子物理 · 物理学 2015-04-17 Amikam Levy , Ronnie Kosloff

Lord Kelvin's postulate is a standard form of statement of the second law of thermodynamics. Caratheodory's principle is also considered as a different form of this law. Landsberg deduced Caratheodory's principle from Kelvin's postulate and…

综合物理 · 物理学 2011-02-22 Radhakrishnamurty Padyala

We review and investigate the general theory of thermodynamics of computation, and derive the fundamental inequalities that set the lower bounds of the work requirement and the heat emission during a computation. These inequalities…

统计力学 · 物理学 2015-06-17 Takahiro Sagawa

Originally formulated for macroscopic machines, the laws of thermodynamics were recently shown to hold for quantum systems coupled to ideal sources of work (external classical fields) and heat (systems at equilibrium). Ongoing efforts have…

量子物理 · 物理学 2023-06-29 Cyril Elouard , Camille Lombard Latune

A consequence of the Second Law of thermodynamics is that no thermodynamic system with a single heat source at constant temperature can convert heat into mechanical work in a recurrent manner. First we note that this is equivalent to…

最优化与控制 · 数学 2020-06-30 Arjan van der Schaft , Dimitri Jeltsema

In this paper we aim to push the analogy between thermodynamics and quantum resource theories one step further. Previous inspirations were based predominantly on thermodynamic considerations concerning scenarios with a single heat bath,…

量子物理 · 物理学 2024-01-10 Hanna Wojewódka-Ściążko , Zbigniew Puchała , Kamil Korzekwa

The relationships between reversible Carnot cycles, the absence of perpetual motion machines and the existence of a non-decreasing, globally unique entropy function forms the starting point of many textbook presentations of the foundations…

统计力学 · 物理学 2015-05-14 O. J. E. Maroney

Isoenergetic thermalization amongst $n$ bodies is a well-known irreversible process, bringing the bodies to a common temperature $T_F$ and leading to a rise in the total entropy of the bodies. We express this change in entropy using the…

统计力学 · 物理学 2024-11-07 Vansh Narang , Renuka Rai , Ramandeep S. Johal

We argue that all the common thermodynamic proofs based on the pump-engine couple possess an inherent circularity and hence are of doubtful value. In certain cases, ways of avoiding them are suggested. In others, the difficulties are…

化学物理 · 物理学 2008-03-26 Kamal Bhattacharyya

Quantum thermodynamics supplies a consistent description of quantum heat engines and refrigerators up to the level of a single few level system coupled to the environment. Once the environment is split into three;a hot, cold and work…

量子物理 · 物理学 2015-04-17 Ronnie Kosloff , Amikam Levy