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We calculate the net change in generalized entropy occurring when one carries out the gedanken experiment in which a box initially containing energy $E$, entropy $S$ and charge $Q$ is lowered adiabatically toward a Reissner-Nordstr\"{o}m…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Takeshi Shimomura , Shinji Mukohyama

The classical theory of Brownian dynamics follows from coarse-graining the underlying linearized fluctuating hydrodynamics of the solvent. We extend this procedure to globally non-isothermal conditions, requiring only a local thermal…

Statistical Mechanics · Physics 2016-04-06 G. Falasco , K. Kroy

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…

Statistical Mechanics · Physics 2025-03-28 Robert Alicki

The present work deals with three alternative generalized Bekenstein-Hawking formulation of thermodynamical parameters namely entropy and temperature for the universal thermodynamical system bounded by a horizon in the frame work of…

General Physics · Physics 2017-02-21 Subhajit Saha , Subenoy Chakraborty

We investigate both the ``physical process'' version of the first law and the second law of black hole thermodynamics for charged and rotating black holes. We begin by deriving general formulas for the first order variation in ADM mass and…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Sijie Gao , Robert M. Wald

Underlying the classical thermodynamic principles are analogous microscopic laws, arising from the fundamental axioms of quantum mechanics. These define quantum thermodynamic variables such as quantum work and heat and characterize the…

Quantum Physics · Physics 2023-05-03 Roie Dann , Ronnie Kosloff

I argue here that both the first and second laws of thermodynamics, generally understood to be quintessentially physical in nature, can be equally well described as being about certain types of information without the need to invoke…

Data Analysis, Statistics and Probability · Physics 2013-10-02 V. J. Vieland

In the scientific and engineering literature, the second law of thermodynamics is expressed in terms of the behavior of entropy in reversible and irreversible processes. According to the prevailing statistical mechanics interpretation the…

Quantum Physics · Physics 2007-05-23 Elias P. Gyftopoulos , Gian Paolo Beretta

In quantum statistical mechanics, equilibrium states have been shown to be the typical states for a system that is entangled with its environment, suggesting a possible identification between thermodynamic and von Neumann entropies. In this…

Quantum Physics · Physics 2017-06-28 Thibaut Josset

The standard argument for the Lorentz invariance of the thermodynamic entropy in equilibrium is based on the assumption that it is possible to perform an adiabatic transformation whose only outcome is to accelerate a macroscopic body,…

General Relativity and Quantum Cosmology · Physics 2021-12-15 Lorenzo Gavassino

Employing the thermodynamic unified first law through the thermodynamic-gravity conjecture, in this article, we derive for a FLRW universe the Friedmann equations in the framework of Gauss-Bonnet gravity theory. To do this, we project this…

General Relativity and Quantum Cosmology · Physics 2023-10-16 Joel Saavedra , Francisco Tello-Ortiz

We review our approach to the second law of thermodynamics, viewed as a theorem asserting the growth of the mean (Gibbs-von Neumann) entropy of quantum spin systems undergoing automorphic (unitary) adiabatic transformations. Non-automorphic…

Mathematical Physics · Physics 2022-08-16 Walter F. Wreszinski

We investigate the validity of the generalized second law of thermodynamics in a universe governed by Horava-Lifshitz gravity. Under the equilibrium assumption, that is in the late-time cosmological regime, we calculate separately the…

High Energy Physics - Theory · Physics 2011-03-28 Mubasher Jamil , Emmanuel N. Saridakis , M. R. Setare

The formulation of a dynamical theory of General Relativity, including matter, is viewed as a problem of coupling Einstein's theory of pure gravity, formulated as an action principle, to an independently chosen and well defined field theory…

General Relativity and Quantum Cosmology · Physics 2016-12-28 Christian Frønsdal

Based on the covariant underdamped and overdamped Langevin equations with Stratonovich coupling to multiplicative noises and the associated Fokker-Planck equations on Riemannian manifold, we present the first law of stochastic…

Statistical Mechanics · Physics 2024-04-02 Yifan Cai , Tao Wang , Liu Zhao

Classical thermodynamics describes physical systems in thermodynamic equilibrium, characterized in particular by the absence of macroscopic motion. Global non-equilibrium thermodynamics extends this framework to include physical systems in…

We examine the validity of the generalized second law (GSL) of gravitational thermodynamics in the context of interacting $f(R)$ gravity. We take into account that the boundary of the universe to be confined by the dynamical apparent…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Ramon Herrera , Nelson Videla

In textbooks on statistical mechanics, one finds often arguments based on classical mechanics, phase space and ergodicity in order to justify the second law of thermodynamics. However, the basic equations of motion of classical mechanics…

Statistical Mechanics · Physics 2014-08-28 Barbara Drossel

An interesting question to explore in physics classes is whether gravity violates the second law of thermodynamics. Standard physics textbooks provide little to no discussion of the relationship between entropy and gravity, and the same is…

General Physics · Physics 2026-05-19 Jorge Pinochet , Giorgio Sonnino

There is a current interest in quantum thermodynamics in the context of open quantum systems. An important issue is the consistency of quantum thermodynamics, in particular the second law of thermodynamics, i.e., the flow of heat from a hot…

Quantum Physics · Physics 2024-07-30 Hans C. Fogedby
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