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Related papers: Comments on Violations of the Second Law

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For thermostatted dissipative systems the Fluctuation Theorem gives an analytical expression for the ratio of probabilities that the time averaged entropy production in a finite system observed for a finite time, takes on a specified value…

Statistical Mechanics · Physics 2009-10-31 Denis J. Evans , Debra J. Searles , Emil Mittag

Fluctuation theorems are fundamental results in non-equilibrium thermodynamics. Considering the fluctuation theorem with respect to the entropy production and an observable, we derive a new thermodynamic uncertainty relation which also…

Statistical Mechanics · Physics 2022-02-02 Gianluca Francica

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…

Statistical Mechanics · Physics 2019-06-26 Salvatore Calabrese , Amilcare Porporato

Several comments are given to previous proofs of the generalised second law of thermodynamics: black hole entropy plus ordinary matter entropy never decreases for a thermally closed system. Arguments in favour of its truism are given in the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. -T. Sung

The purpose of the current letter is to give some relevant clarification on the validity of the laws of thermodynamics and the stability of the horizon by scalar field scattering formalism. On the one side, the connection between the energy…

High Energy Physics - Theory · Physics 2022-07-26 H. El Moumni , J. Khalloufi , K. Masmar

A generalization of the fluctuation law (FL) ("theorem"), formulated in 1993 by Evans, Cohen and Morriss for a nonequilibrium steady state, on the chaotic Hamiltonian systems with equilibrium steady state in recent publication ba Evans,…

Statistical Mechanics · Physics 2007-05-23 Boris Chirikov , Oleg Zhirov

A major part of the many thermally driven processes in our natural environment as well as in engineering solutions of Carnot-type machinery is based on the second law of thermodynamics (or principle of entropy increase). An interesting link…

General Physics · Physics 2010-09-29 Hans R. Moser

We study how Thomson's formulation of the second law: no work is extracted from an equilibrium ensemble by a cyclic process, emerges in the quantum situation through the averaging over fluctuations of work. The latter concept is carefully…

Statistical Mechanics · Physics 2007-05-23 A. E. Allahverdyan , Th. M. Nieuwenhuizen

Relative entropy is a non-negative quantity and offers a powerful means of achieving a unified understanding of fundamental properties in physics, including the second law of thermodynamics and positivity bounds on effective field theories…

High Energy Physics - Theory · Physics 2025-04-29 Daiki Ueda , Kazuhiro Tatsumi

$H$-theorem states that the entropy production is nonnegative and, therefore, the entropy of a closed system should monotonically change in time. In information processing, the entropy production is positive for random transformation of…

Statistical Mechanics · Physics 2014-10-10 Alexander N. Gorban

It is a common belief that in any environment where life is possible, life will be generated. Here it is suggested that the cause for a spontaneous generation of complex systems is probability driven processes. Based on equilibrium…

Information Theory · Computer Science 2007-11-29 Oded Kafri

We reformulate stochastic thermodynamics in terms of noise realizations for Langevin systems in contact with multiple reservoirs and investigated the structure of the second laws of thermodynamics. We derive a hierarchy of fluctuation…

Statistical Mechanics · Physics 2020-01-08 Jae Sung Lee , Hyunggyu Park

We analyze the production of entropy along non-equilibrium processes in quantum systems coupled to generic environments. First, we show that the entropy production due to final measurements and the loss of correlations obeys a fluctuation…

Quantum Physics · Physics 2018-08-08 Gonzalo Manzano , Jordan M. Horowitz , Juan M. R. Parrondo

There are only a very few known relations in statistical dynamics that are valid for systems driven arbitrarily far-from-equilibrium. One of these is the fluctuation theorem, which places conditions on the entropy production probability…

Statistical Mechanics · Physics 2009-09-25 Gavin E. Crooks

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…

Deriving the laws of thermodynamics from a microscopic picture is a central quest of statistical mechanics. This tutorial focuses on the derivation of the first and second law for closed and open quantum systems far from equilibrium, where…

Quantum Physics · Physics 2021-08-31 Philipp Strasberg , Andreas Winter

Quantum extensions of the Gallavotti-Cohen fluctuation theorem (FT) for the entropy production have been discussed by several authors. There is a practical gap between microscopic forms of FT and mesoscopic (i.e. not purely Hamiltonian)…

Statistical Mechanics · Physics 2009-11-13 Wojciech De Roeck

The entropy production in dissipative processes is the essence of the arrow of time and the second law of thermodynamics. For dissipation of quantum systems, it was recently shown that the entropy production contains indeed two…

Quantum Physics · Physics 2020-10-28 Camille L. Latune , Ilya Sinayskiy , Francesco Petruccione

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…

Statistical Mechanics · Physics 2016-11-08 Shubhashis Rana , A. M. Jayannavar

Traditional discussions of the Second Law of Thermodynamics studied the limits of very specific types of devices, such as heat engines, chemical reactions, and molecules channeled by valves. Allahverdyan and Nieuwenhuizen (cond-mat/0110422)…

Statistical Mechanics · Physics 2007-05-23 Paul J. Werbos