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We prove a lower bound on the relative entropy between two finite-dimensional states in terms of their entropy difference and the dimension of the underlying space. The inequality is tight in the sense that equality can be attained for any…

量子物理 · 物理学 2015-03-16 David Reeb , Michael M. Wolf

We obtain a new phantom black plane solution in 4D of the Einstein-Maxwell theory coupled with a cosmological constant. We analyse their basic properties, as well as its causal structure, and obtain the extensive and intensive thermodynamic…

广义相对论与量子宇宙学 · 物理学 2013-10-30 Manuel E. Rodrigues , Deborah F. Jardim , M. J. S. Houndjo , Ratbay Myrzakulov

We demonstrate that the thermodynamics of a perfect fluid describing baryonic matter can, in certain limits, lead to an equation of state similar to that of dark energy. We keep the cosmic fluid equation of state quite general by just…

广义相对论与量子宇宙学 · 物理学 2021-01-26 Georgios Lukes-Gerakopoulos , Giovanni Acquaviva , Charalampos Markakis

We extend previous work showing that violation of the null energy condition implies instability in a broad class of models, including gauge theories with scalar and fermionic matter as well as any perfect fluid. Simple examples are given to…

高能物理 - 理论 · 物理学 2008-11-26 Roman V. Buniy , Stephen D. H. Hsu , Brian M. Murray

The equation of state of dark energy is investigated to determine how much it may deviate from the equation of state of the cosmological constant (CC). Two aspects of the problem are studied: the "expansion" around the vacuum equation of…

天体物理学 · 物理学 2009-11-11 Hrvoje Stefancic

Thermodynamic analyses of dark energy as a relativistic fluid indicates that this intriguing component of the universe mimics a bulk viscous pressure when the parameter of its barotropic equation of state varies with time. Since in…

广义相对论与量子宇宙学 · 物理学 2025-03-04 José Medeiros da Costa Netto , Heydson Henrique Brito da Silva

In this work we focus on the thermodynamics consistency of a new set of solutions emerging from a cosmology in which dark matter is able to decay into relativistic particles within the dark sector. It is important to stress that the…

广义相对论与量子宇宙学 · 物理学 2025-07-08 Javier Juárez-Jiménez , Ana A. Avilez-López , Miguel Cruz

The present effort addresses the question about the existence of a well-defined thermodynamic limit for the astrophysical systems with the following power law form: to tend the number of particles, N, the total energy, E, and the…

天体物理学 · 物理学 2007-05-23 L. Velazquez , F. Guzman

Motivated by the notion that the mathematics of gravity can be reproduced from a statistical requirement of maximal entropy, we study the consequence of introducing an entropic source term in the Einstein-Hilbert action. For a spatially…

广义相对论与量子宇宙学 · 物理学 2024-03-20 Soumya Chakrabarti

Topological entanglement entropy is a topological invariant which can detect topological order of quantum many-body ground state. We assume an existence of such order parameter at finite temperature which is invariant under smooth…

量子物理 · 物理学 2013-05-30 Isaac H. Kim

The thermodynamic limit of the internal energy and the entropy of the system of quantum interacting particles in random medium is shown to exist under the crucial requirements of stability and temperedness of interactions. The energy turns…

数学物理 · 物理学 2012-01-24 Nikolaj A. Veniaminov

We investigate the laws of thermodynamics in an accelerating universe driven by dark energy with a time-dependent equation of state. In the case we consider that the physically relevant part of the Universe is that envelopped by the…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Bin Wang , Yungui Gong , Elcio Abdalla

It is argued that a typical many body energy eigenstate has a well defined thermodynamic entropy and that individual eigenstates possess thermodynamic characteristics analogous to those of generic isolated systems. We examine large systems…

统计力学 · 物理学 2015-05-14 J. M. Deutsch

We argue that there is an intrinsic noise on measurements of the equation of state parameter $w=p/\rho$ from large-scale structure around us. The presence of the large-scale structure leads to an ambiguity in the definition of the…

宇宙学与河外天体物理 · 物理学 2014-04-29 Wessel Valkenburg , Martin Kunz , Valerio Marra

Equation of state parameter plays a significant role for guessing the real nature of dark energy. In the present paper polytropic equation of state $p=\omega\rho^n$ is chosen for some of the kinematical $\Lambda$-models viz., $\Lambda \sim…

天体物理学 · 物理学 2009-02-11 Utpal Mukhopadhyay , Saibal Ray

The state function entropy and its quantum thermodynamical implication for two typical dissipative systems with anomalous spectral densities are studied by investigating on their low-temperature quantum behavior. In all cases it is found…

统计力学 · 物理学 2015-06-03 Chun-Yang Wang , An-Qi Zhao , Xiang-Mu Kong , Jing-Dong Bao

In this paper we present a generic form of the cosmological Equation of State derived from the formalism of Statistical Mechanics, assuming that a cosmic acceleration scenario can be interpreted as a system of quasi-particles. By…

广义相对论与量子宇宙学 · 物理学 2020-12-14 Elías Castellanos , Celia Escamilla-Rivera

Precision cosmological data hint that a dark energy with equation of state $w = P/\rho < -1$ and hence dubious stability is viable. Here we discuss for any $w$ nucleation from $\Lambda > 0$ to $\Lambda = 0$ in a first-order phase…

高能物理 - 理论 · 物理学 2009-11-10 Paul H. Frampton

Entropy is one of the key thermodynamic variables reflecting changes in the state of matter. Unlike other thermodynamic variables, it is well-defined also for nonequilibrium steady states through its relation to information. Applying this…

统计力学 · 物理学 2026-04-15 Haim Diamant , Gil Ariel

Motivated by the apparent discrepancy between Cosmic Microwave Background measurements of the Hubble constant and measurements from Type-Ia supernovae, we construct a model for Dark Energy with equation of state $w = p / \rho < -1$,…

宇宙学与河外天体物理 · 物理学 2018-10-31 Gabriela Barenboim , William H. Kinney , Michael J. P. Morse