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We compute the distribution of relative velocities for a one-dimensional model of heavy particles suspended in a turbulent flow, quantifying the caustic contribution to the moments of relative velocities. The same principles determine the…

Fluid Dynamics · Physics 2012-06-13 K. Gustavsson , B. Mehlig

Within the closed universe, we obtain the amplitude and frequency of gravitational waves in the terms of discrete wave numbers, wave propagation time, and cosmological constant using the deviation equation in the first-order perturbed…

General Relativity and Quantum Cosmology · Physics 2021-05-27 Jafar Khodagholizadeh , Amir H. Abbassi , Ali Vahedi , Komeil Babaei

We consider a particle which moves on the x axis and is subject to a constant force, such as gravity, plus a random force in the form of Gaussian white noise. We analyze the statistics of first arrival at point $x_1$ of a particle which…

Statistical Mechanics · Physics 2011-07-19 Theodore W. Burkhardt

Gravitational waves propagate at the speed of light in general relativity, because of its special relativistic basis. However, light propagation is linked to the electromagnetic phenomena, with the permittivity and permeability constants as…

General Relativity and Quantum Cosmology · Physics 2018-11-14 C. S. Unnikrishnan , George T. Gillies

Heavy particles suspended in a turbulent flow settle faster than in a still fluid. This effect stems from a preferential sampling of the regions where the fluid flows downward and is quantified here as a function of the level of turbulence,…

Fluid Dynamics · Physics 2015-06-18 Jeremie Bec , Holger Homann , Samriddhi Sankar Ray

Gravitational-wave (GW) memory effects produce permanent shifts in the GW strain and its time integrals after the passage of a burst of GWs. Their presence is closely tied to symmetries of asymptotically flat spacetimes and fluxes of…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Shammi Tahura , David A. Nichols , Kent Yagi

The dynamics of particles moving in a medium defined by its relativistically invariant stochastic properties is investigated. For this aim, the force exerted on the particles by the medium is defined by a stationary random variable as a…

Quantum Physics · Physics 2009-11-11 Alejandro Cabo-Bizet , Alejandro Cabo Montes de Oca

In general relativity, gravitational memory describes the lasting change in the separation and relative velocity of freely falling detectors after the passage of gravitational waves (GWs). In this paper, we elucidate the relation between…

General Relativity and Quantum Cosmology · Physics 2025-06-17 Valerio De Luca , Justin Khoury , Sam S. C. Wong

We examine gravitational wave memory in the case where sources and detector are in an expanding cosmology. For simplicity, we treat the case where the cosmology is de Sitter spacetime, and discuss the possibility of generalizing our results…

General Relativity and Quantum Cosmology · Physics 2016-09-21 Lydia Bieri , David Garfinkle , Shing-Tung Yau

General relativity describes gravitation in terms of the geometry of spacetime. It predicts the existence of gravitational waves (GWs) that stretch and compress spacetime and were detected recently by state-of-the-art interferometer…

Popular Physics · Physics 2022-12-01 Hayato Motohashi , Teruaki Suyama

Despite growing interest, there is a scarcity of known predictions in the regime where both quantum and general relativistic effects become observable. Here, we investigate a combined atom-field system in a curved spacetime, with a specific…

Quantum Physics · Physics 2026-03-24 Jerzy Paczos , Navdeep Arya , Sofia Qvarfort , Daniel Braun , Magdalena Zych

Numerical relativists can now produce gravitational waveforms with memory effects routinely and accurately. The gravitational-wave memory effect contains very low-frequency components, including a persistent offset. The presence of these…

It is well known that energy fluxes will produce gravitational wave memory. The gravitational wave memory produced by background including cosmic microwave background (CMB), cosmic neutrino background (C$\nu$B), and gravitational wave…

General Relativity and Quantum Cosmology · Physics 2022-11-01 Zhoujian Cao , Xiaokai He , Zhi-Chao Zhao

We revisit the issue of memory effects, i.e. effects giving rise to a net cumulative change of the configuration of test particles, using a toy model describing the emission of radiation by a compact source and focusing on the scalar, hence…

General Relativity and Quantum Cosmology · Physics 2021-03-10 Hebertt Leandro , Riccardo Sturani

We study the joint probability distributions of separation, $R$, and radial component of the relative velocity, $V_{\rm R}$, of particles settling under gravity in a turbulent flow. We also obtain the moments of these distributions and…

Fluid Dynamics · Physics 2020-03-11 Akshay Bhatnagar

We examine the motion of a relativistic charged particle in a constant magnetic field perturbed by gravitational waves incident along the direction of the magnetic field. We apply a generalized energy conservation law to compute the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. W. van Holten

Gravitational waves are thought to propagate unattenuated through matter due to a cancellation between graviton absorption and stimulated emission inferred from leading-order soft-graviton arguments. We revisit this reasoning and show that…

High Energy Physics - Phenomenology · Physics 2025-11-03 Wen-Yuan Ai , Sebastian A. R. Ellis , Josef Pradler

Gravitational-wave tails are linear waves that backscatter on the curvature of space-time generated by the total mass-energy of the source. The non-linear memory effect arises from gravitational waves sourced by the stress-energy…

General Relativity and Quantum Cosmology · Physics 2024-02-16 David Trestini , Luc Blanchet

We use molecular dynamics simulations to study the formation of surface waves in vertically vibrated granular material. We find that horizontal movements of particles, which are essential for the formation of the waves, consist of two…

Statistical Mechanics · Physics 2009-10-31 Jysoo Lee

We revisit the computation of the classical gravitational waveform for a particle moving in a plane wave background using on-shell amplitudes. We emphasize the relationship between gravitational memory and the boundary conditions of…

High Energy Physics - Theory · Physics 2025-10-02 Andrea Cristofoli , Sonja Klisch
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