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Models of complex networks often incorporate node-intrinsic properties abstracted as hidden variables. The probability of connections in the network is then a function of these variables. Real-world networks evolve over time, and many…

物理与社会 · 物理学 2021-05-19 Harrison Hartle , Fragkiskos Papadopoulos , Dmitri Krioukov

The transition between ergodic and many-body localized phases is expected to occur via an avalanche mechanism, in which \emph{ergodic bubbles} that arise due to local fluctuations in system properties thermalize their surroundings leading…

无序系统与神经网络 · 物理学 2021-11-10 Tomasz Szoldra , Piotr Sierant , Korbinian Kottmann , Maciej Lewenstein , Jakub Zakrzewski

We refine and extend a recent construction of sets of black hole microstates with semiclassical interiors that span a Hilbert space of dimension $e^S$, where $S$ is the black hole entropy. We elaborate on the definition and properties of…

高能物理 - 理论 · 物理学 2024-02-05 Ana Climent , Roberto Emparan , Javier M. Magan , Martin Sasieta , Alejandro Vilar López

In these lecture notes we describe recent progress in our understanding of attractor mechanism and entropy of extremal black holes based on the entropy function formalism. We also describe precise computation of the microscopic degeneracy…

高能物理 - 理论 · 物理学 2010-04-06 Ashoke Sen

Complex network states are characterized by the interplay between system's structure and dynamics. One way to represent such states is by means of network density matrices, whose von Neumann entropy characterizes the number of distinct…

物理与社会 · 物理学 2022-12-06 Arsham Ghavasieh , Manlio De Domenico

According to the correspondence principle of Horowitz and Polchinski, many black holes in string theory are continuously deformed to usual quantum systems involving D-branes and fundamental strings when the string coupling becomes…

高能物理 - 理论 · 物理学 2026-04-10 Ashoke Sen

We study a mean field model of a complex network, focusing on edge and triangle densities. Our first result is the derivation of a variational characterization of the entropy density, compatible with the infinite node limit. We then…

数学物理 · 物理学 2015-06-12 Charles Radin , Lorenzo Sadun

The statistical mechanics of black holes arbitrarily far from extremality is modeled by a gas of weakly interacting strings. As an effective low energy description of black holes the model provides a number of highly non-trivial consistency…

高能物理 - 理论 · 物理学 2009-10-30 Finn Larsen

Using the D1D5 CFT we investigate transitions involving a member of a certain class of states called superstrata states, which are holographically dual to certain smooth, horizonless, $1/8$-BPS, three-charge black hole microstates known as…

高能物理 - 理论 · 物理学 2025-02-26 Shaun D. Hampton

We study evolution and thermodynamics of a slow-roll transition between early and late time de Sitter phases, both in the homogeneous case and in the presence of a black hole, in a scalar field model with a generic potential having both a…

高能物理 - 理论 · 物理学 2017-11-22 Ruth Gregory , David Kastor , Jennie Traschen

An explicit microscopic realization of the phenomenon of holography is provided by a class of simple quantum theories of a bosonic field inhabiting a d-dimensional space and experiencing a momentum dependent attractive interaction. An exact…

高能物理 - 理论 · 物理学 2018-10-05 Gia Dvali

We study timelike and conventional entanglement entropy as potential probes of black hole singularities via the AdS/CFT correspondence. Using an analytically tractable example, we find characteristic behavior of holographic timelike…

高能物理 - 理论 · 物理学 2024-06-25 Takanori Anegawa , Kotaro Tamaoka

Black holes found in binaries move at very high velocities relative to our own reference frame and can accelerate due to the emission of gravitational radiation. Here, we investigate the numerical stability and late-time behavior of linear…

广义相对论与量子宇宙学 · 物理学 2020-08-06 Kyriakos Destounis , Rodrigo D. B. Fontana , Filipe C. Mena

A five-dimensional dyonic black hole in Type-I theory is considered that is extremal but non-supersymmetric. It is shown that the Bekenstein-Hawking entropy of this black hole counts precisely the microstates of a D-brane configuration with…

高能物理 - 理论 · 物理学 2009-10-30 Atish Dabholkar

In the study of dynamical processes on networks, there has been intense focus on network structure -- i.e., the arrangement of edges and their associated weights -- but the effects of the temporal patterns of edges remains poorly…

物理与社会 · 物理学 2015-06-16 Till Hoffmann , Mason A. Porter , Renaud Lambiotte

Many time-evolving systems in nature, society and technology leave traces of the interactions within them. These interactions form temporal networks that reflect the states of the systems. In this work, we pursue a coarse-grained…

社会与信息网络 · 计算机科学 2019-02-07 Naoki Masuda , Petter Holme

Some basic features of black-hole statistical mechanics are investigated, assuming that black holes respect the principles of quantum mechanics. Care is needed in defining an entropy S_bh corresponding to the number of microstates of a…

高能物理 - 理论 · 物理学 2013-11-20 Steven B. Giddings

Employing the generalized free energy landscape and solving the associated Fokker-Planck equation, we obtain the time-dependent probability evolution of the order parameter for the RN-AdS black hole phase transitions. Our analysis reveals…

广义相对论与量子宇宙学 · 物理学 2026-04-08 Chao Wang , Chen Ma , Meng-Ci He , Bin Wu

The recent suggestion that the entropy of Schwarzschild black holes can be computed in matrix theory using near-extremal D-brane thermodynamics is examined. It is found that the regime in which this approach is valid actually describes…

高能物理 - 理论 · 物理学 2016-08-25 Gary T. Horowitz , Emil J. Martinec

We consider BPS states in M theory compactified on a Calabi-Yau threefold with one K\"ahler parameter, and investigate their relation to blackholes and blackrings. On the microscopic side, a characterization of the BPS degeneracy can be…

高能物理 - 理论 · 物理学 2024-01-09 Indranil Halder , Ying-Hsuan Lin