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There is an intriguing analogy between the gravitational dynamics of the horizons and thermodynamics. In case of general relativity, as well as for a wider class of Lanczos-Lovelock theories of gravity, it is possible to interpret the field…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Dawood Kothawala , Sudipta Sarkar , T. Padmanabhan

An alternative derivation of generalized gravitational entropy associated to co-dimension 2 'entangling' hypersurfaces is given. The approach is similar to the Jacobson-Myers 'Hamiltonian' method and it does not require computations on…

高能物理 - 理论 · 物理学 2014-07-08 Dmitri Fursaev

Thermodynamics is commonly presented as a theory of macroscopic systems in stable equilibrium, built upon assumptions of extensivity and scaling with system size. In this paper, we present a universal formulation of the elementary…

量子物理 · 物理学 2026-03-26 Gian Paolo Beretta

Many discussions in the literature of spacetimes with more than one Killing horizon note that some horizons have positive and some have negative surface gravities, but assign to all a positive temperature. However, the first law of…

高能物理 - 理论 · 物理学 2019-04-26 M. Cvetic , G. W. Gibbons , H. Lu , C. N. Pope

The surface Hamiltonian corresponding to the surface part of a gravitational action has $xp$ structure where $p$ is conjugate momentum of $x$. Moreover, it leads to $TS$ on the horizon of a black hole. Here $T$ and $S$ are temperature and…

广义相对论与量子宇宙学 · 物理学 2016-12-30 Ashish Bakshi , Bibhas Ranjan Majhi , Saurav Samanta

Utilizing quantum information theory, it has been shown that irreversible entropy production is bounded from both below and above in physical processes. Both these bounds are positive and generalize the Clausius inequality. Such bounds are,…

高能物理 - 理论 · 物理学 2025-04-17 Tanay Kibe , Ayan Mukhopadhyay , Pratik Roy

We define correlational (von Neumann) entropy for an individual quantum state of a system whose time-independent hamiltonian contains random parameters and is treated as a member of a statistical ensemble. This entropy is representation…

chao-dyn · 物理学 2013-01-16 Valentin V. Sokolov , B. Alex Brown , Vladimir Zelevinsky

All of the basic microsopic physical laws are time reversible. In contrast, the second law of thermodynamics, which is a macroscopic physical representation of the world, is able to describe irreversible processes in an isolated system…

化学物理 · 物理学 2015-06-19 Roland Riek

The universe today, with structure such as stars, galaxies and black holes, seems to have evolved from a very homogeneous initial state. From this it appears as if the entropy of the universe is decreasing, in violation of the second law of…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Oystein Rudjord , Oyvind Gron

We consider probabilistic models of N identical distinguishable, binary random variables. If these variables are strictly or asymptotically independent, then, for N>>1, (i) the attractor in distribution space is, according to the standard…

统计力学 · 物理学 2009-11-11 John A. Marsh , Miguel A. Fuentes , Luis G. Moyano , Constantino Tsallis

Elaborating on a previous work by Marolf et al, we relate some exact results in quantum field theory and statistical mechanics to the Bekenstein universal bound on entropy. Specifically, we consider the relative entropy between the vacuum…

高能物理 - 理论 · 物理学 2008-11-26 H. Casini

Boundary conditions defining a generic isolated horizon are introduced. They generalize the notion available in the existing literature by allowing the horizon to have distortion and angular momentum. Space-times containing a black hole,…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Abhay Ashtekar , Christopher Beetle , Olaf Dreyer , Stephen Fairhurst , Badri Krishnan , Jerzy Lewandowski , Jacek Wisniewski

Vacuum Einstein equations when projected on to a black hole horizon is analogous to the dynamics of fluids. In this work we address the question, whether certain properties of semi-classical black holes could be holographically mapped into…

高能物理 - 理论 · 物理学 2014-12-01 Swastik Bhattacharya , S. Shankaranarayanan

The first part of this work provides a review of recent research on generalised entropies and their origin, as well as its application to black hole thermodynamics. To start, it is shown that the Hawking temperature and the…

广义相对论与量子宇宙学 · 物理学 2025-02-11 Emilio Elizalde , Shin'ichi Nojiri , Sergei D. Odintsov

We study thermodynamic limits when controllers operate with only partial observability of internal correlations in multipartite systems. Understanding the costs imposed by lack of information is crucial in settings where agents must act…

统计力学 · 物理学 2025-09-25 Akihito Sudo

In this paper, we investigate the validity of the generalized second law (GSL) of thermodynamics in flat FRW chameleon cosmology where the boundary of the universe is assumed to be enclosed by the dynamical apparent horizon. It has been…

广义相对论与量子宇宙学 · 物理学 2015-05-28 H. Farajollahi , A. Salehi , F. Tayebi

We provide the notion of entropy for a classical Klein-Gordon real wave, that we derive as particular case of a notion entropy for a vector in a Hilbert space with respect to a real linear subspace. We then consider a localised automorphism…

数学物理 · 物理学 2023-11-29 Fabio Ciolli , Roberto Longo , Giuseppe Ruzzi

We restate Kay's 1998 hypothesis which simultaneously offers an objective definition for the entropy of a closed system, a microscopic foundation for the Second Law, a resolution of the Information Loss (and other) Black-Hole Puzzle(s) and…

量子物理 · 物理学 2007-10-05 Bernard S. Kay , Varqa Abyaneh

In a previous work (M. Campisi. Stud. Hist. Phil. M. P. 36 (2005) 275-290) we have addressed the mechanical foundations of equilibrium thermodynamics on the basis of the Generalized Helmholtz Theorem. It was found that the volume entropy…

统计力学 · 物理学 2008-03-09 Michele Campisi

We initially prepare a quantum linear oscillator weakly coupled to a bath in equilibrium at an arbitrary temperature. We disturb this system by varying a Hamiltonian parameter of the coupled oscillator, namely, either its spring constant or…

统计力学 · 物理学 2015-05-27 Ilki Kim
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