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A simple derivation of the bound on entropy is given and the holographic principle is discussed. We estimate the number of quantum states inside space region on the base of uncertainty relation. The result is compared with the Bekenstein…

General Relativity and Quantum Cosmology · Physics 2015-06-25 M. G. Ivanov , I. V. Volovich

We study a three-dimensional holographic CFT under the influence of a background electric field on a spacetime containing two black hole horizons. The electric background is fixed such that there is potential difference between the two…

High Energy Physics - Theory · Physics 2024-05-28 William D. Biggs , Jorge E. Santos

Bousso's entropy bound for two-dimensional gravity is investigated in the lightcone gauge. It is shown that due to the Weyl anomaly, the null component of the energy-momentum tensor takes a nonvanishing value, and thus, combined with the…

High Energy Physics - Theory · Physics 2016-09-06 Masafumi Fukuma , Akitsugu Miwa , Kazuyoshi Takahashi

We investigate the behaviors of entanglement entropy in the holographical insulator/superconductor phase transition. We calculate the holographic entanglement entropy for two kinds of geometry configurations in a completely back-reacted…

High Energy Physics - Theory · Physics 2012-12-17 Rong-Gen Cai , Song He , Li Li , Yun-Long Zhang

In this paper we continue the study of renormalized entanglement entropy introduced in [1]. In particular, we investigate its behavior near an IR fixed point using holographic duality. We develop techniques which, for any static holographic…

High Energy Physics - Theory · Physics 2015-06-17 Hong Liu , Márk Mezei

We compute a holographic entanglement entropy via Ryu--Takayanagi prescription in the three-dimensional Friedmann--Lema\^itre--Robertson--Walker universe. We consider two types of holographic scenarios analogous to the static patch…

High Energy Physics - Theory · Physics 2025-08-21 Toshifumi Noumi , Fumiya Sano , Yu-ki Suzuki

We study transport properties of a parity-odd, non-relativistic charged fluid in presence of background electric and magnetic fields. To obtain stress tensor and charged current for the non-relativistic system we start with the most generic…

High Energy Physics - Theory · Physics 2015-02-03 Nabamita Banerjee , Suvankar Dutta , Akash Jain , Dibakar Roychowdhury

For a general maximally symmetric (spherically, plane or hyperbola symmetric) holographic screen, we rewrite the equations of motion of general Lovelock gravity into the form of some generalized first law of thermodynamics, under certain…

High Energy Physics - Theory · Physics 2019-08-19 Yu Tian , Xiao-Ning Wu

We investigate the behavior of entanglement entropy across the holographic p-wave superconductor phase transition in an Einstein-Yang-Mills theory with a negative cosmological constant. The holographic entanglement entropy is calculated for…

High Energy Physics - Theory · Physics 2012-12-17 Rong-Gen Cai , Song He , Li Li , Yun-Long Zhang

We consider the holographic entanglement entropy of $(d+2)$-dimensional semi-local quantum liquids, for which the dual gravity background in the deep interior is $AdS_{2}\times\mathbb{R}^{d}$ multiplied by a warp factor which depends on the…

High Energy Physics - Theory · Physics 2015-06-17 Johanna Erdmenger , Da-Wei Pang , Hansjörg Zeller

A common approach to evaluate entropy in quantum systems is to solve a master-Bloch equation to determine density matrix and substitute it in entropy definition. However, this method has been recently understood to lack many energy…

High Energy Physics - Theory · Physics 2016-05-17 Mohammad H Ansari

Let $\Lambda$ be a complex manifold and let $(f_\lambda)_{\lambda\in \Lambda}$ be a holomorphic family of rational maps of degree $d\geq 2$ of $\mathbb{P}^1$. We define a natural notion of entropy of bifurcation, mimicking the classical…

Dynamical Systems · Mathematics 2018-05-30 Henry De Thélin , Thomas Gauthier , Gabriel Vigny

We study holographic entanglement entropy in the background of charged dilatonic black holes which can be viewed as holographic duals of certain finite density states of N=4 super Yang-Mills. These charged black holes are distinguished in…

High Energy Physics - Theory · Physics 2012-10-22 Manuela Kulaxizi , Andrei Parnachev , Koenraad Schalm

The irreversible currents and entropy production rate of a dilute colloidal suspension are calculated using the linear irreversible thermodynamics and the linear response theory. The \anomalous" or \hidden" entropy recently discussed in the…

Statistical Mechanics · Physics 2018-08-24 Kunimasa Miyazaki , Yohei Nakayama , Hiromichi Matsuyama

A derivation of Noether current from the surface term of Einstein-Hilbert action is given. We show that the corresponding charge, calculated on the horizon, is related to the Bekenstein-Hawking entropy. Also using the charge, the same…

General Relativity and Quantum Cosmology · Physics 2013-07-24 Bibhas Ranjan Majhi

We study holographic entanglement entropy in spatially anisotropic field theory. We observe that for the background we consider in this paper, to a good approximation, the holographic entanglement entropy can be decomposed into two terms.…

High Energy Physics - Theory · Physics 2018-07-11 M. Rahimi , M. Ali-Akbari

It has recently been shown that the Einstein equation can be derived by demanding a non-equilibrium entropy balance law dS = dQ/T + dS_i hold for all local acceleration horizons through each point in spacetime. The entropy change dS is…

High Energy Physics - Theory · Physics 2008-12-18 Christopher Eling

We study the relation between the thermodynamics and field equations of generalized gravity theories on the dynamical trapping horizon with sphere symmetry. We assume the entropy of dynamical horizon as the Noether charge associated with…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Shao-Feng Wu , Xian-Hui Ge , Peng-Ming Zhang , Guo-Hong Yang

Gravity currents are a ubiquitous density driven flow occurring in both the natural environment and in industry. They include: seafloor turbidity currents, primary vectors of sediment, nutrient and pollutant transport; cold fronts; and…

Fluid Dynamics · Physics 2025-02-28 Edward W. G. Skevington , Robert M. Dorrell

We perform a detailed analysis of holographic entanglement R\'enyi entropy in some modified theories of gravity with four dimensional conformal field theory duals. First, we construct perturbative black hole solutions in a recently proposed…

High Energy Physics - Theory · Physics 2017-07-25 Anshuman Dey , Pratim Roy , Tapobrata Sarkar
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