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Viscosity of fluids is strongly system-dependent, varies across many orders of magnitude and depends on molecular interactions and structure in a complex way not amenable to first-principles theories. Despite the variations and theoretical…

软凝聚态物质 · 物理学 2020-04-28 K. Trachenko , V. V. Brazhkin

We present a method to obtain upper bounds on covering numbers. As applications of this method, we reprove and generalize results of Rogers on economically covering Euclidean $n$-space with translates of a convex body, or more generally,…

度量几何 · 数学 2015-10-12 Márton Naszódi

In a pair of recent articles [PRL 105 (2010) 041302 - arXiv:1005.1132; JHEP 1103 (2011) 056 - arXiv:1012.2867] two of the current authors have developed an entropy bound for equilibrium uncollapsed matter using only classical general…

广义相对论与量子宇宙学 · 物理学 2017-11-29 Gabriel Abreu , Carlos Barcelo , Matt Visser

A gravity-scalar model in 5-dim. Riemann space is adjusted to the thermodynamics of SU(3) gauge field theory in the temperature range 1 - 10 $T/T_c$ to calculate holographically the bulk viscosity in 4-dim. Minkowski space. Various settings…

高能物理 - 唯象学 · 物理学 2014-03-17 R. Yaresko , B. Kampfer

A set of sufficient conditions for the generalized covariant entropy bound given by Strominger and Thompson is as follows: Suppose that the entropy of matter can be described by an entropy current $s^a$. Let $k^a$ be any null vector along…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Sijie Gao , Jose' P. S. Lemos

I argue that scattering theory for massless particles in Minkowski space should be reformulated as a mapping between past and future representations of an algebra of densities on the conformal boundary. These densities are best thought of…

高能物理 - 理论 · 物理学 2015-11-05 Tom Banks

We study the covariant holographic entropy bound from an operational standpoint. Therefore we consider the physical limit for observations on a light-sheet. A light-sheet is a particular null hypersurface, and the natural measuring…

高能物理 - 理论 · 物理学 2010-12-28 Karel Van Acoleyen

We extend all known area inequalities obeyed by Ryu-Takayanagi surfaces of AdS boundary regions -- the holographic entropy cone -- to static generalized entanglement wedges of bulk regions in arbitrary spacetimes. The generalized…

高能物理 - 理论 · 物理学 2025-02-07 Raphael Bousso , Sami Kaya

Significant work has gone into determining the minimal set of entropy inequalities that determine the holographic entropy cone. Holographic systems with three or more parties have been shown to obey additional inequalities that generic…

高能物理 - 理论 · 物理学 2015-09-15 Emory Brown , Ning Bao , Sepehr Nezami

The viscosity of nucleonic matter is studied both classically and in a quantum mechanical description. The collisions between particles are modeled as hard sphere scattering as a baseline for comparison and as scattering from an attractive…

核理论 · 物理学 2012-03-22 Aram Z. Mekjian

The ratio of shear viscosity to volume density of entropy can be used to characterize how close a given fluid is to being perfect. Using string theory methods, we show that this ratio is equal to a universal value of $\hbar/4\pi k_B$ for a…

高能物理 - 理论 · 物理学 2007-05-23 P. Kovtun , D. T. Son , A. O. Starinets

The holographic principle is studied in the context of a $n+1$ dimensional radiation dominated closed Friedman-Robertson-Walker (FRW) universe. The radiation is represented by a conformal field theory with a large central charge. Following…

高能物理 - 理论 · 物理学 2007-05-23 Erik Verlinde

The spin 1/2 entropy of electrons trapped in a quantum dot has previously been measured with great accuracy, but the protocol used for that measurement is valid only within a restrictive set of conditions. Here, we demonstrate a novel…

Recently it has been proposed that the Bekenstein-Hawking formula for the entropy of spacetime horizons has a larger significance as the leading contribution to the entanglement entropy of general spacetime regions, in the underlying…

高能物理 - 理论 · 物理学 2014-08-27 Jason Wien

We study the dual fluid on a finite cutoff surface outside the black brane horizon in the third order Lovelock gravity. Using nonrelativistic long-wavelength expansion, we obtain the incompressible Navier-Stokes equations of dual fluid with…

高能物理 - 理论 · 物理学 2013-04-15 De-Cheng Zou , Shao-Jun Zhang , Bin Wang

Recently Eling and Oz (EO) proposed a formula for the holographic bulk viscosity, in arXiv:1103.1657, derived from the null horizon focusing equation. This formula seems different from that obtained earlier by Gubser, Pufu and Rocha (GPR)…

高能物理 - 理论 · 物理学 2015-03-19 Alex Buchel , Umut Gursoy , Elias Kiritsis

Strong and general entropic and geometric Heisenberg limits are obtained, for estimates of multiparameter unitary displacements in quantum metrology, such as the estimation of a magnetic field from the induced rotation of a probe state in…

量子物理 · 物理学 2018-08-03 Michael J. W. Hall

Let $f: Y \rightarrow X$ be a continuous map between a compact real analytic K\"ahler manifold $(Y,g)$ and a compact complex {hyperbolic manifold} $(X,g_0)$. In this paper we give a lower bound of the diastatic entropy of $(Y,g)$ in terms…

微分几何 · 数学 2016-06-30 Roberto Mossa

In this article, we generalize a proof technique by Alicki, Fannes and Winter and introduce a method to prove continuity bounds for entropic quantities derived from different quantum relative entropies. For the Umegaki relative entropy, we…

量子物理 · 物理学 2024-02-06 Andreas Bluhm , Ángela Capel , Paul Gondolf , Antonio Pérez-Hernández

Entropic cosmology assumes several forms of entropy on the horizon of the universe, where the entropy can be considered to behave as if it were related to the exchange (the transfer) of energy. To discuss this exchangeability, the…

广义相对论与量子宇宙学 · 物理学 2016-02-19 Nobuyoshi Komatsu , Shigeo Kimura