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Large-scale structures, observed today, are generally believed to have grown from random, small-amplitude inhomogeneities, present in the early Universe. We investigate how gravitational instability drives the distribution of these…

Astrophysics · Physics 2009-10-22 R. Juszkiewicz , F. R. Bouchet , S. Colombi

We investigate the fluctuations around the average density profile in the weakly asymmetric exclusion process with open boundaries in the steady state. We show that these fluctuations are given, in the macroscopic limit, by a centered…

Other Condensed Matter · Physics 2009-11-11 B. Derrida , C. Enaud , C. Landim , S. Olla

Ultralight candidates for dark matter can present wavelike features on astrophysical scales. Full wave based simulations of such candidates are currently limited to box sizes of 1--10 Mpc/$h$ on a side, limiting our understanding of the…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-16 Alex Gough , Cora Uhlemann

We describe an efficient algorithm for calculating the statistics of weak lensing by large-scale structure based on a tiled set of independent particle-mesh N-body simulations which telescope in resolution along the line of sight. This…

Astrophysics · Physics 2008-11-26 Martin White , Wayne Hu

We adapt the microcanonical framework of equilibrium statistical mechanics to predict the statistics of short waves in inhomogeneous moving media. For steady inhomogeneities and background flow, we compute the wave spectrum at any location…

Fluid Dynamics · Physics 2026-02-18 Alexandre Tlili , Basile Gallet

In wave turbulence, it has been believed that statistical properties are well described by the weak turbulence theory, in which nonlinear interactions among wavenumbers are assumed to be small. In the weak turbulence theory, separation of…

Chaotic Dynamics · Physics 2013-03-07 Naoto Yokoyama

We investigate actions for dynamically triangulated random surfaces that consist of a gaussian or area term plus the {\it modulus} of the gaussian curvature and compare their behavior with both gaussian plus extrinsic curvature and…

High Energy Physics - Lattice · Physics 2009-10-22 C. F. Baillie , D. A. Johnston

The detection of gravitational waves (GWs) propagating through cosmic structures can provide invaluable information on the geometry and content of our Universe, as well as on the fundamental theory of gravity. In order to test possible…

General Relativity and Quantum Cosmology · Physics 2020-11-25 Alice Garoffolo , Gianmassimo Tasinato , Carmelita Carbone , Daniele Bertacca , Sabino Matarrese

The topographical scattering of gravity waves is investigated using a spectral energy balance equation that accounts for first order wave-bottom Bragg scattering. This model represents the bottom topography and surface waves with spectra,…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Rudy Magne , Fabrice Ardhuin , Vincent Rey , Thomas H. C. Herbers

The nonlinear turbulent interactions between acoustic gravity waves are investigated using two dimensional nonlinear fluid simulations. The acoustic gravity waves consist of velocity and density perturbations and propagate across the…

Atmospheric and Oceanic Physics · Physics 2015-05-13 Dastgeer Shaikh , Padma K Shukla , Lennart Stenflo

We present a general method for computing the gravitational radiation arising from the motion of bubble walls or thin fluid shells in cosmological phase transitions. We discuss the application of this method to different wall kinematics. In…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-03 Ariel Megevand , Federico Agustin Membiela

The scattering of inertia-gravity waves by large-scale geostrophic turbulence in a rapidly rotating, strongly stratified fluid leads to the diffusion of wave energy on the constant-frequency cone in wavenumber space. We derive the…

Atmospheric and Oceanic Physics · Physics 2019-05-22 Hossein Kafiabad , Miles A. C. Savva , Jacques Vanneste

Astrometric observations can, in principle, be used to detect gravitational waves. In this paper we give a practical overview of the gravitational wave effects which can be expected specifically in small-field astrometric data. Particular…

General Relativity and Quantum Cosmology · Physics 2026-01-12 Robin Geyer , Sven Zschocke , Michael Soffel , Sergei Klioner , Lennart Lindegren , Uwe Lammers

Knowledge of turbulent flows over non-flat surfaces is of major practical interest in diverse applications. Significant work continues to be reported in the roughness regime at high Reynolds numbers where the cumulative effect of surface…

Fluid Dynamics · Physics 2019-11-27 Balaji Jayaraman , Saadbin Khan

A Gaussian fluctuation formula is proved for linear statistics of complex random matrices in the case that the statistic is rotationally invariant. For a general linear statistic without this symmetry, Coulomb gas theory is used to predict…

Statistical Mechanics · Physics 2007-05-23 P. J. Forrester

We show that some statistical properties of forced two-dimensional turbulence have an important sensitivity to the form of large-scale dissipation which is required to damp the inverse cascade. We consider three models of large-scale…

Fluid Dynamics · Physics 2017-03-23 Yue-Kin Tsang

We analyze the gravitational waves propagation in metric $f(R)$ theories of gravity. In particular, adopting a gauge invariant formalism we clearly determine the exact propagating degrees of freedom. Then, investigating their effects on…

General Relativity and Quantum Cosmology · Physics 2019-10-11 Fabio Moretti , Flavio Bombacigno , Giovanni Montani

There are several common conventions in use by the gravitational-wave community to describe the amplitude of sources and the sensitivity of detectors. These are frequently confused. We outline the merits of and differences between the…

General Relativity and Quantum Cosmology · Physics 2014-12-15 Christopher J. Moore , Robert H. Cole , Christopher P. L. Berry

We devise a stochastic Hamiltonian formulation of the water wave problem. This stochastic representation is built within the framework of the modelling under location uncertainty. Starting from restriction to the free surface of the general…

Analysis of PDEs · Mathematics 2022-05-19 Evgueni Dinvay , Etienne Memin

The standard analytical approach for studying gravity free-surface waves generated by a moving body often relies upon a linearization of the physical geometry, where the body is considered asymptotically small in one or several of its…

Fluid Dynamics · Physics 2016-09-28 Philippe H. Trinh