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The power spectrum (PS) of the density field in supersonic turbulence is a fundamental quantity that characterizes the statistical properties of the structures formed in compressible flows. It is also widely used to estimate the Mach number…

Astrophysics of Galaxies · Physics 2026-05-12 Pierre Dumond , Jérémy Fensch , Gilles Chabrier , Noé Brucy

The main observational evidence for turbulence in the interstellar medium (ISM) and molecular clouds is the power-law energy spectrum for velocity fluctuations, E(k) \propto k^{\alpha}. The Kolmogorov scaling exponent, \alpha=-5/3, is…

Astrophysics of Galaxies · Physics 2015-05-13 N. Kevlahan , Ralph E. Pudritz

This paper is devoted to a statistical analysis of the fluctuations of velocity and acceleration produced by a random distribution of point vortices in two-dimensional turbulence. We show that the velocity probability density function…

Statistical Mechanics · Physics 2009-10-31 Pierre-Henri Chavanis , Clément Sire

Recent ultrasound imaging modalities based on ultrasound computed tomography indicate a huge potential to detect pathologies is tissue due to altered biomechanical properties. Especially the imaging of speed-of-sound (SoS) distribution in…

Medical Physics · Physics 2021-07-05 Richard Rau , Dieter Schweizer , Valery Vishnevskiy , Orcun Goksel

We investigate the response of the star formation efficiency (SFE) to the main parameters of simulations of molecular cloud formation by the collision of warm diffuse medium (WNM) cylindrical streams, neglecting stellar feedback and…

Astrophysics of Galaxies · Physics 2015-05-14 Yetli Rosas-Guevara , Enrique Vazquez-Semadeni , Gilberto C. Gomez , A. -Katharina Jappsen

We compare the statistics of driven, supersonic turbulence at high Mach number using FLASH a widely used Eulerian grid-based code and PHANTOM, a Lagrangian SPH code at resolutions of up to 512^3 in both grid cells and SPH particles. We find…

Astrophysics of Galaxies · Physics 2015-05-18 Daniel J. Price , Christoph Federrath

Diffuse-interface theory provides a foundation for the modeling and simulation of microstructure evolution in a very wide range of materials, and for the tracking/capturing of dynamic interfaces between different materials on larger scales.…

Computational Physics · Physics 2018-08-03 Zhijie Xu , Paul Meakin , Alexandre Tartakovsky

In amorphous solids, a non-negligible part of thermal conductivity results from phonon scattering on the structural disorder. The conversion of acoustic energy into thermal energy is often measured by the Dynamical Structure Factor (DSF)…

Disordered Systems and Neural Networks · Physics 2018-09-12 Y. M. Beltukov , D. A. Parshin , V. Giordano , A. Tanguy

A method for time-frequency analysis is given. The approach utilizes properties of Gaussian distribution, properties of Hermite polynomials and Fourier analysis. We begin by the definitions of a set of functions called harmonic Gaussian…

General Mathematics · Mathematics 2015-04-29 Tokiniaina Ranaivoson , Raoelina Andriambololona , Rakotoson Hanitriarivo

We study the damping of perpendicular standing spin-waves (PSSWs) in ultrathin Fe films at frequencies up to 2.4 THz. The PSSWs are excited by optically generated ultrashort spin current pulses, and probed optically in the time domain.…

Mesoscale and Nanoscale Physics · Physics 2021-10-06 L. Brandt , R. Verba , N. Liebing , M. Ribow , I. Razdolski , V. Tyberkevych , A. Slavin , G. Woltersdorf , A. Melnikov

.Stochastic models based on random diffusivities, such as the diffusing-diffusivity approach, are popular concepts for the description of non-Gaussian diffusion in heterogeneous media. Studies of these models typically focus on the moments…

Statistical Mechanics · Physics 2020-08-26 V. Sposini , D. S. Grebenkov , R. Metzler , G. Oshanin , F. Seno

Incoherently illuminated or luminescent objects give rise to a low-contrast speckle-like pattern when observed through a thin diffusive medium, as such a medium effectively convolves their shape with a speckle-like point spread function…

Vehicular communication channels are characterized by a non-stationary time- and frequency-selective fading process due to rapid changes in the environment. The non-stationary fading process can be characterized by assuming local…

Networking and Internet Architecture · Computer Science 2014-04-28 Laura Bernadó , Thomas Zemen , Fredrik Tufvesson , Andreas F. Molisch , Christoph F. Mecklenbräuker

The effects of different filtering strategies on the statistical properties of the resolved-to-sub-filter scale (SFS) energy transfer are analyzed in forced homogeneous and isotropic turbulence. We carry out a priori analyses of statistical…

Fluid Dynamics · Physics 2018-02-23 M. Buzzicotti , M. Linkmann , H. Aluie , L. Biferale , J. Brasseur , C. Meneveau

When an optical pulse is focused into a multimode waveguide or fiber, the energy is divided among the available guided modes. Consequently, the initially localized intensity spreads transversely, the spatial profile undergoes rapid…

Optics · Physics 2023-06-07 Abbas Shiri , Kenneth L. Schepler , Ayman F. Abouraddy

We use Langevin dynamics (LD) simulations to investigate single-file diffusion (SFD) in a dilute solution of flexible linear polymers inside a narrow tube with periodic boundary conditions (a torus). The transition from SFD, where the time…

Soft Condensed Matter · Physics 2025-05-20 Hanyang Wang , Gary W. Slater

Accurately estimating the point spread function (PSF) of an optical system requires solving free-space wave propagation, which entails evaluating a diffraction integral. This integral is traditionally computed numerically using Fast Fourier…

Image and Video Processing · Electrical Eng. & Systems 2026-05-22 Nicholas Ganino , Qi Guo

We present a mathematical analysis of propagation-induced distortions in the spectro-temporal properties of Fast Radio Bursts (FRBs). Within the Triggered Relativistic Dynamical Model, we derive a centroid-based formulation of the sub-burst…

High Energy Astrophysical Phenomena · Physics 2025-10-21 Aishwarya Kumar , Fereshteh Rajabi , Martin Houde

Dealing numerically with the turbulent nature and non-linearity of the physical processes involved in the ISM requires the use of sophisticated numerical schemes coupled to HD and MHD mathematical models. SNe are the main drivers of the…

Astrophysics · Physics 2007-05-23 Miguel A. de Avillez , Dieter Breitschwerdt

A pulsar's pulse profile gets broadened at low frequencies due to dispersion along the line of sight or due to multi-path propagation. The dynamic nature of the interstellar medium makes both of these effects time-dependent and introduces…

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