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The principal methods for the definition of thermodynamic entropy are discussed with special reference to those developed by Carath\'eodory, the Keenan School, Lieb and Yngvason, and the present authors. An improvement of the latter method…

Mathematical Physics · Physics 2014-03-25 Enzo Zanchini , Gian Paolo Beretta

An extension of the fundamental laws of thermodynamics and of the concept of entropy to the ground state fluctuations of the quantum fields is studied and some new results are found. At the end a device to extract energy from the vacuum…

High Energy Physics - Theory · Physics 2007-05-23 M. Scandurra

Free energy and entropy are examined in detail from the standpoint of classical thermodynamics. The approach is logically based on the fact that thermodynamic work is mediated by thermal energy through the tendency for nonthermal energy to…

Physics Education · Physics 2015-06-26 Clinton D. Stoner

Entropic Dynamics is a framework in which dynamical laws such as those that arise in physics are derived as an application of entropic methods of inference. No underlying action principle is postulated. Instead, the dynamics is driven by…

Quantum Physics · Physics 2018-02-23 Ariel Caticha

According to the first and second laws of thermodynamics and the definitions of work and heat, microscopic expressions for the non-equilibrium entropy production have been achieved. Recently, a redefinition of heat has been presented in…

Quantum Physics · Physics 2020-06-30 H. Dolatkhah , S. Salimi , A. S. Khorashad , S. Haseli

A variant of continuous nonequilibrium thermodynamic theory based on the postulate of the scale invariance of the local relation between generalized fluxes and forces has been proposed. This single postulate replaces the assumptions on…

Statistical Mechanics · Physics 2015-06-05 Leonid M. Martyushev , V. D. Seleznev

The Hamilton principle is a variation principle describing the isolated and conservative systems, its Lagrange function is the difference between kinetic energy and potential energy. By Feynman path integration, we can obtain the Hermitian…

Quantum Physics · Physics 2021-10-12 Xiang-Yao Wu , Ben-Shan Wu , Meng Han , Ming-Li Ren , Heng-Mei Li , Hong-Chun Yuan , Hong Li , Si-Qi Zhang

The meaning and evolution of the notion of "temperature" (which is a key concept for the condensed and gaseous matter theories) are addressed from the different points of view. The concept of temperature turns out to be much more…

Statistical Mechanics · Physics 2020-12-30 Edward Bormashenko

Thermodynamics plays an important role both in the foundations of physics and in technological applications. An operational perspective adopted in recent years is to formulate it as a quantum resource theory. At the core of this theory is…

Quantum Physics · Physics 2023-12-13 Thomas Theurer , Elia Zanoni , Carlo Maria Scandolo , Gilad Gour

The concepts of quantity of heat and work are deduced in the non-extensive statistical mechanics context, following steps in parallel to those employed in the extensive statistical mechanics.

Statistical Mechanics · Physics 2009-11-10 A. K. Rajagopal

In this article, we study a thermodynamically consistent thermo-visco-elastic model describing the balance of internal energy in a heat-conducting inelastic body. In the considered problem, the temperature dependence appears in both the…

Analysis of PDEs · Mathematics 2025-11-13 Tomasz Cieślak , Sebastian Owczarek , Karolina Wielgos

We provide a characterization of energy in the form of exchanged heat and work between two interacting constituents of a closed, bipartite, correlated quantum system. By defining a binding energy we derive a consistent quantum formulation…

Quantum Physics · Physics 2016-10-25 S. Alipour , F. Benatti , F. Bakhshinezhad , M. Afsary , S. Marcantoni , A. T. Rezakhani

There is a long tradition of thinking of thermodynamics, not as a theory of fundamental physics (or even a candidate theory of fundamental physics), but as a theory of how manipulations of a physical system may be used to obtain desired…

History and Philosophy of Physics · Physics 2020-10-28 Wayne C. Myrvold

In this paper, we make a close comparison of a covariant definition of an energy/entropy in general relativity, recently proposed by a collaboration including the present authors, with existing definitions of energies such as the one from…

High Energy Physics - Theory · Physics 2022-11-09 Sinya Aoki , Tetsuya Onogi

We compare definitions of the internal energy of an open quantum system and strategies to split the internal energy into work and heat contributions as given by four different approaches from autonomous system framework. Our discussion…

Quantum Physics · Physics 2025-08-22 Anja Seegebrecht , Tanja Schilling

We explore the perspective of considering the squeezed thermal reservoir as an equilibrium reservoir in a generalized Gibbs ensemble with two non-commuting conserved quantities. We outline the main properties of such a reservoir in terms of…

Quantum Physics · Physics 2018-10-16 Gonzalo Manzano

We provide a stochastic mathematical representation for Clausius' and Kelvin-Planck's statements of the Second Law of Thermodynamics in terms of the entropy productions of a finite, compact driven Markov system and its lift. A surjective…

Probability · Mathematics 2022-11-09 Yue Wang , Hong Qian

We discussed the criterion for usefully comparing an irreversible cycle with a reversible one, and show that the lost work cannot be determined by the usual cycle diagrams, contrary to what has been found in the literature. To better…

Physics Education · Physics 2022-08-23 Joaquim Anacleto

Heat is a physical manifestation of entropy, where the removal of entropy from a thermal energy reservoir permits the conversion of heat into work. This entropy transfer is facilitated by the cold thermal energy reservoir in typical heat…

Quantum Physics · Physics 2025-11-12 Liam Judd McClelland

Thermodynamics is usually developed starting from entropy and the maximum entropy principle. We investigate here to what extent one can replace entropy with relative entropy which has several advantages, for example in the context of local…

Statistical Mechanics · Physics 2020-11-17 Stefan Floerchinger , Tobias Haas