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At the dawn of thermodynamics, Carnot's constraint on efficiency of heat engines stimulated the formulation of one of the most universal physical principles, the second law of thermodynamics. In recent years, the field of heat engines…

Statistical Mechanics · Physics 2021-12-23 Viktor Holubec , Artem Ryabov

We consider the particle creation scenario in the dynamical Chern-Simons modified gravity in the presence of perfect fluid equation of state $p=(\gamma-1)\rho$. By assuming various modified entropies (Bekenstein, logarithmic, power law…

General Relativity and Quantum Cosmology · Physics 2018-10-15 Abdul Jawad , Shamaila Rani , Salman Rafique

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…

Quantum Physics · Physics 2017-11-09 Li-Hang Ren , Heng Fan

We define thermodynamic configurations and identify two primitives of discrete quantum processes between configurations for which heat and work can be defined in a natural way. This allows us to uncover a general second law for any discrete…

Quantum Physics · Physics 2015-06-12 Janet Anders , Vittorio Giovannetti

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

Thermodynamic Uncertainty Relations express a trade-off between precision, defined as the noise-to-signal ratio of a generic current, and the amount of associated entropy production. These results have deep consequences for autonomous heat…

Asher Peres' proof that a violation of No Cloning Theorem would imply a violation of the Second Law of Thermodynamics is shown not to take into account the algorithmic-information's contribution to the Thermodynamical Entropy of the…

Quantum Physics · Physics 2007-05-23 Gavriel Segre

The Clausius-Clapeyron relation and its analogs in other first-order phase transitions, such as type-I superconductors, are derived using very elementary methods, without appealing to the more advanced concepts of entropy or Gibbs free…

Popular Physics · Physics 2022-01-12 Oskar Grocholski , Kornel Howil , Stanisław Rakowski , Piotr Maksymiuk

A long standing open problem whether a heat engine with finite power achieves the Carnot efficiency is investigated. We rigorously prove a general trade-off inequality on thermodynamic efficiency and time interval of a cyclic process with…

Statistical Mechanics · Physics 2017-08-18 Naoto Shiraishi , Hiroyasu Tajima

We provide a justification, via the thermodynamic limit, of the modular formula for entropy production in two-times measurement proposed in [Benoist, Bruneau, Jak\v{s}i\'c, Panati and Pillet: Lett. Math. Phys. 114:32, (2023)]. We consider…

Mathematical Physics · Physics 2024-10-02 Tristan Benoist , Laurent Bruneau , Vojkan Jakšić , Annalisa Panati , Claude-Alain Pillet

It is a common view in philosophy of physics that thermodynamics is a non-fundamental theory. This is motivated in particular by the fact that thermodynamics is considered to be a paradigmatic example for a theory that can be reduced to…

History and Philosophy of Physics · Physics 2022-04-12 Michael te Vrugt , Paul Needham , Georg J. Schmitz

This paper is a non-technical, informal presentation of our theory of the second law of thermodynamics as a law that is independent of statistical mechanics and that is derivable solely from certain simple assumptions about adiabatic…

Mathematical Physics · Physics 2009-10-31 Elliott H. Lieb , Jakob Yngvason

In this effort we show that the Legendre reciprocity relations,thermodynamic's essential formal feature, are respected by any entropic functional, even if it is NOT of trace-form nature, as Shannon's is. Further, with reference to the…

Statistical Mechanics · Physics 2018-10-12 A. Plastino , A. R. Plastino , M. C. Rocca

This comprehensive treatise is written for the special occasion of the author's 70th birthday. It presents his lifelong endeavors and reflections with original reasoning and re-interpretations of the most critical and misleading issues in…

General Physics · Physics 2023-08-09 Milivoje M. Kostic

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…

Statistical Mechanics · Physics 2015-05-20 Sumiyoshi Abe , Shinji Okuyama

Statistical mechanics descriptions of the second law of thermodynamics generally imply point-like particles driven by a dissipative overall mechanism for their simultaneous time-evolution. As the number of involved particles grows larger,…

General Physics · Physics 2016-02-16 Hans R. Moser

Extremal principles can generally be divided into two rather distinct classes. There are, on the one hand side, formulations based on the Lagrangian or Hamiltonian mechanics, respectively, dealing with time dependent problems, but…

Computational Engineering, Finance, and Science · Computer Science 2023-11-08 Klaus Hackl , Jiří Svoboda , Franz Dieter Fischer

In this article, we briefly review dynamical and thermodynamical aspects of different forms of quantum motors and quantum pumps. We then extend previous results to provide new theoretical tools for a systematic study of those phenomena at…

Mesoscale and Nanoscale Physics · Physics 2019-08-26 Raúl A. Bustos-Marún , Hernan L. Calvo

We generalize the thermodynamic uncertainty relation, providing an entropic upper bound for average fluxes in time-continuous steady-state systems (Gingrich et al., Phys. Rev. Lett. 116, 120601 (2016)), to time-discrete Markov chains and to…

Statistical Mechanics · Physics 2017-10-11 Karel Proesmans , Christian Van den Broeck

We present a conjugate analysis of two different dark energy models investigating both their agreement with recent data and their thermodynamical properties. The successful match with the data allows to both constrain the model parameters…

Cosmology and Nongalactic Astrophysics · Physics 2017-10-11 Vincenzo F. Cardone , Ninfa Radicella , Antonio Troisi
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