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This paper is concerned with efficient representations and approximations of the solution to the scattering problem by a system of strongly coupled plasmonic particles. Three schemes are developed: the first is the resonant expansion which…

Numerical Analysis · Mathematics 2017-09-26 Habib Ammari , Matias Ruiz , Sanghyeon Yu , Hai Zhang

In this paper, we aim to study the diffusion approximation for multi-scale McKean-Vlasov stochastic differential equations. More precisely, we prove the weak convergence of slow process $X^\varepsilon$ in $C([0,T];\mathbb{R}^n)$ towards the…

Probability · Mathematics 2022-06-07 Wei Hong , Shihu Li , Xiaobin Sun

We characterize the peculiar velocity field of the local large-scale structure reconstructed from the $2M++$ survey, by treating it as a fluid, extracting the divergence via different approximations over a range pf averaged scales. This…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-22 Erick Pastén , Sebastián Gálvez , Víctor Cárdenas

Motivated by cosmological applications for interacting matters, an extension of the action functional for relativistic fluids is proposed to incorporate the physics of non-adiabatic processes and chemical reactions. The former are…

General Relativity and Quantum Cosmology · Physics 2025-01-30 Damianos Iosifidis , Erik Jensko , Tomi S. Koivisto

We critically examine how well the evolution of large-scale density perturbations is followed in cosmological $N$-body simulations. We first run a large volume simulation and perform a mode-by-mode analysis in three-dimensional Fourier…

In calculations of (semi-) inclusive events within perturbative Quantum Chromodynamics, large logarithmic corrections arise from certain kinematic regions of interest which need to be resummed. When resumming soft gluon effects one…

High Energy Physics - Phenomenology · Physics 2007-05-23 Carola F. Berger

All observational evidence for dark matter and dark energy is so far exclusively gravitational. Hence, the dark sector may be equivalently described by a theory of the spacetime metric whose dynamics is affected by interactions with an…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-10 Santiago Agüí Salcedo , Thomas Colas , Lennard Dufner , Enrico Pajer

A large-scale cosmic magnetic field affects not only the growth of density perturbations, but also rotational instabilities and anisotropic deformation in the density distribution. We give a fully relativistic treatment of all these…

Astrophysics · Physics 2008-11-26 Christos Tsagas , Roy Maartens

A general equation of state is used to model unified dark matter and dark energy (dark fluid), and it has been proved that this model is equivalent to a single fluid with time-dependent bulk viscosity. In this paper, we investigate scalar…

Cosmology and Nongalactic Astrophysics · Physics 2010-01-31 Xu Dou , Xin-He Meng

The classical field approximation is widely used to better understand the predictions of ultra-light dark matter. Here, we use the truncated Wigner approximation method to test the classical field approximation of ultra-light dark matter.…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-12 Andrew Eberhardt , Alvaro Zamora , Michael Kopp , Tom Abel

We study a mesoscopic model for the flow of amorphous solids. The model is based on the key features identified at the microscopic level, namely peri- ods of elastic deformation interspersed with localised rearrangements of parti- cles that…

Materials Science · Physics 2017-02-08 Alexandre Nicolas , Jean-Louis Barrat

The eikonal approximation is at the heart of many theoretical and phenomenological studies involving multiple soft gauge boson emissions in high energy physics. We describe our efforts towards the extension of the eikonal approximation for…

High Energy Physics - Phenomenology · Physics 2010-12-13 Eric Laenen , Lorenzo Magnea , Gerben Stavenga , Chris D. White

Compact objects evolving in an astrophysical environment experience a gravitational drag force known as dynamical friction. We present a multipole-frequency decomposition to evaluate the orbit-averaged energy and angular momentum…

Astrophysics of Galaxies · Physics 2025-09-22 Gali Eytan , Vincent Desjacques , Yonadav Barry Ginat

The bulk viscosity of cosmological fluid and the creation of cold dark matter both result in the generation of irreversible entropy (related to dissipative processes) in a homogeneous and isotropic universe. To consider such effects, the…

Cosmology and Nongalactic Astrophysics · Physics 2014-12-16 Nobuyoshi Komatsu , Shigeo Kimura

Gravitational lensing of distant objects caused by gravitational tidal forces from inhomogeneities in the universe is weak in most cases, but it is noticed that it gives a great deal of information about the universe, especially regarding…

Astrophysics · Physics 2008-11-26 Kenji Tomita , Premana Premadi , Takahiro T. Nakamura

In this paper, building on a previous analysis [1] of exact diagonalization of the space-discretized evolution operator for the study of properties of non-relativistic quantum systems, we present a substantial improvement to this method. We…

Statistical Mechanics · Physics 2011-08-08 Ivana Vidanovic , Aleksandar Bogojevic , Antun Balaz , Aleksandar Belic

Averaging and evolving inhomogeneities are non-commuting operations. This implies the existence of deviations of an averaged model from the standard Friedmann-Lemaitre cosmologies. We quantify these deviations, encoded in a backreaction…

Astrophysics · Physics 2013-03-26 Thomas Buchert , Martin Kerscher , Christian Sicka

We discuss the evolution of linear perturbations about a Friedmann-Robertson-Walker background metric, using only the local conservation of energy-momentum. We show that on sufficiently large scales the curvature perturbation on spatial…

Astrophysics · Physics 2009-10-31 David Wands , Karim A. Malik , David H. Lyth , Andrew R. Liddle

The slow-roll approximation is an analytical approach to study dynamical properties of the inflationary universe. In this article, systematic construction of the slow-roll expansion for effective loop quantum cosmology is presented. The…

General Relativity and Quantum Cosmology · Physics 2017-02-01 Joanna Luc , Jakub Mielczarek

We develop a theory of Feynman propagators for the massive Klein--Gordon equation with asymptotically static perturbations. Building on our previous work on the causal propagators, we employ a framework based on propagation of singularities…

Analysis of PDEs · Mathematics 2025-07-03 Dean Baskin , Moritz Doll , Jesse Gell-Redman
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