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The "spectral correlation function" analysis we introduce in this paper is a new tool for analyzing spectral-line data cubes. Our initial tests, carried out on a suite of observed and simulated data cubes, indicate that the spectral…

We define auto- and cross-correlation functions capable to capture dynamical characteristics induced by local phase space structures in a general dynamical system. These correlation functions are calculated in the Standard Map for a range…

Chaotic Dynamics · Physics 2015-04-21 Georgios Datseris , Fotis K. Diakonos , Peter Schmelcher

A multispeckle technique for efficiently measuring correctly ensemble-averaged intensity autocorrelation functions of scattered light from non-ergodic and/or non-stationary systems is described. The method employs a CCD camera as a…

Soft Condensed Matter · Physics 2009-11-07 Virgile. Viasnoff , Francois Lequeux , D. J. Pine

We establish a new approach to calculating spectral statistics in disordered conductors, by considering how energy levels move in response to changes in the impurity potential. We use this fictitious dynamics to calculate the spectral form…

Condensed Matter · Physics 2009-10-28 J. T. Chalker , Igor V. Lerner , Robert A. Smith

We present a derivation of a recently proposed theory for the time dependence of density fluctuations in stationary states of strongly interacting, athermal, self-propelled particles. The derivation consists of two steps. First, we start…

Soft Condensed Matter · Physics 2016-01-13 Grzegorz Szamel

We propose the sparse modeling method to estimate the spectral function from the smeared correlation functions. We give a description of how to obtain the shear viscosity from the correlation function of the renormalized energy-momentum…

High Energy Physics - Lattice · Physics 2020-07-15 Etsuko Itou , Yuki Nagai

The absence of self averaging in mesoscopic systems is a consequence of long-range intensity correlation. Microwave measurements suggest and diagrammatic calculations confirm that the correlation function of the normalized intensity with…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. Sebbah , B. Hu , A. Z. Genack , R. Pnini , B. Shapiro

Expressing currents and their fluctuations at the terminals of a multi-probe conductor in terms of the wave functions of carriers injected into the Fermi sea provides new insight into the physics of electric currents. This approach helps us…

Mesoscale and Nanoscale Physics · Physics 2021-03-30 Michael Moskalets

The second-order dependence structure of purely nondeterministic stationary process is described by the coefficients of the famous Wold representation. These coefficients can be obtained by factorizing the spectral density of the process.…

Statistics Theory · Mathematics 2017-12-21 Jonas Krampe , Jens-Peter Kreiss , Efstathios Paparoditis

We theoretically investigate the spectral properties and the spatial dependence of the local density of states (LDoS) in disordered two-dimensional electron gases (2DEG) in the quantum Hall regime, taking into account the combined presence…

Mesoscale and Nanoscale Physics · Physics 2013-12-25 Daniel Hernangomez-Perez , Jascha Ulrich , Serge Florens , Thierry Champel

We present a construction of a mean-field theory for thermodynamic and spectral properties of correlated electrons reliable in the strong-coupling limit. We introduce an effective interaction determined self-consistently from the reduced…

Strongly Correlated Electrons · Physics 2017-04-19 Václav Janiš , Vladislav Pokorný , Anna Kauch

We present a novel analytical method for calculating the spectral function and the density of states in speckle potentials, valid in the semiclassical regime. Our approach relies on stationary phase approximations, allowing us to describe…

Disordered Systems and Neural Networks · Physics 2016-08-24 Tony Prat , Nicolas Cherroret , Dominique Delande

Density functional theory can be extended to excited states by means of a unified variational approach for passive state ensembles. This extension overcomes the restriction of the typical density functional approach to ground states, and…

Chemical Physics · Physics 2019-07-10 Tim Gould , Stefano Pittalis

We theoretically investigate the transient spectral function during the photoinduced melting of charge order in a correlated electron system, to unravel the dynamical processes triggered by different initial excitations. We employ a…

Strongly Correlated Electrons · Physics 2026-03-19 Yasuhiro Tanaka , Hitoshi Seo

We present an accurate local density-functional for electronic-structure calculations within the density functional theory (DFT). The functional is derived by analyzing the structure of the standard perturbative expansion of the correlation…

Materials Science · Physics 2024-11-28 Mario Benites , Angel Rosado , Efstratios Manousakis

An important topic of interest in imaging is the construction of protocols that are not diffraction limited. This can be achieved in a variety of ways, including classical superresolution techniques or quantum entanglement-based protocols.…

Quantum Physics · Physics 2015-10-28 Mark E. Pearce , Thomas Mehringer , J. von Zanthier , Pieter Kok

New developments in scanning tunneling spectroscopy now allow for the spatially resolved measurement of the Josephson critical current $I_c$ between a tip and a superconducting sample, a nearly direct measurement of the true superconducting…

Superconductivity · Physics 2021-10-07 Miguel Antonio Sulangi , W. A. Atkinson , P. J. Hirschfeld

Measuring transport coefficients at the microscale remains challenging, often relying on indirect methods that require modeling and calibration. This Letter derives universal asymptotic forms for the autocorrelation and relative uncertainty…

Statistical Mechanics · Physics 2025-05-09 Omer Granek

The change of physical conditions across the turbulent and magnetized interstellar medium (ISM) induces a 3D spatial variation of the properties of Galactic polarized emission. The observed signal results from the averaging of different…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-23 Léo Vacher , Jonathan Aumont , François Boulanger , Ludovic Montier , Vincent Guillet , Alessia Ritacco , Jens Chluba

Turbulence in curved spacetimes in general, and in the vicinity of black holes (BHs) in particular, represents a poorly understood phenomenon that is often analysed employing techniques developed for flat spacetimes. We here propose a novel…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Rita Megale , Alejandro Cruz-Osorio , Giuseppe Ficarra , Mario Imbrogno , Claudio Meringolo , Leonardo Primavera , Luciano Rezzolla , Sergio Servidio
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