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We develop a diagrammatic theory for transport of waves in disordered media with weak nonlinearity. We first represent the solution of the nonlinear wave equation as a nonlinear Born series. From this, we construct nonlinear ladder and…

介观与纳米尺度物理 · 物理学 2015-05-13 Thomas Wellens , Benoit Gremaud

It was recently shown that applying a Gaussianizing transform, such as a logarithm, to the nonlinear matter density field extends the range of useful applicability of the power spectrum by a factor of a few smaller. Such a transform…

宇宙学与河外天体物理 · 物理学 2011-11-15 Mark C. Neyrinck

We describe the implementation of a new approach to the numerical evaluation of the effects of non-cold relics on the evolution of cosmological perturbations. The Boltzmann hierarchies used to compute the contributions of these relics to…

宇宙学与河外天体物理 · 物理学 2025-09-03 Nanoom Lee , José Luis Bernal , Sven Günther , Lingyuan Ji , Marc Kamionkowski

In this study, we present the evolution of cosmological perturbations in a universe consisting of standard matter and interacting vacuum. We use the $1 + 3$ covariant formalism in perturbation framework and consider two different models for…

广义相对论与量子宇宙学 · 物理学 2024-01-15 Albert Munyeshyaka , Joseph Ntahompagaze , Tom Mutabazi , Manasse. R Mbonye , Abraham Ayirwanda , Fidele Twagirayezu , Amare Abebe

We investigate the non-linear evolution of the matter power spectrum by using a large set of high-resolution N-body/hydrodynamic simulations. The linear matter power in the initial conditions is consistently modified to accommodate warm…

宇宙学与河外天体物理 · 物理学 2015-05-28 Matteo Viel , Katarina Markovic , Marco Baldi , Jochen Weller

We study numerically the fully nonlinear gravitational collapse of a self-gravitating, minimally-coupled, massless scalar field in spherical symmetry. Our numerical code is based on double-null coordinates and on free evolution of the…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Lior M. Burko , Amos Ori

Inhomogeneous cosmological perturbation equations are derived in loop quantum gravity, taking into account corrections in particular in gravitational parts. This provides a framework for calculating the evolution of modes in structure…

天体物理学 · 物理学 2008-11-26 Martin Bojowald , Hector Hernandez , Mikhail Kagan , Parampreet Singh , Aureliano Skirzewski

In this article we show that finite perturbative corrections in non-supersymmetric strings can be understood via an interplay between modular invariance and misaligned supersymmetry. While modular invariance is known to be crucial in…

高能物理 - 理论 · 物理学 2022-05-06 Niccolò Cribiori , Susha Parameswaran , Flavio Tonioni , Timm Wrase

We present a time-dependent extension of logarithmic perturbation theory for nonrelativistic quantum dynamics governed by the Schr\"odinger equation, in which the logarithm of the wave function is expanded in powers of a coupling constant.…

量子物理 · 物理学 2026-04-17 Juan Carlos del Valle , Paul Bergold , Karolina Kropielnicka

Based on the multi-point propagator expansion, we present resummed perturbative calculations for cosmological power spectra and correlation functions in the context of modified gravity. In a wide class of modified gravity models that have a…

宇宙学与河外天体物理 · 物理学 2014-12-17 Atsushi Taruya , Takahiro Nishimichi , Francis Bernardeau , Takashi Hiramatsu , Kazuya Koyama

We discuss the convergence of cosmological perturbation theory. We prove that the polynomial enhancement of the non-linear corrections expected from the effects of soft modes is absent in equal-time correlators like the power or bispectrum.…

宇宙学与河外天体物理 · 物理学 2015-03-18 Diego Blas , Mathias Garny , Thomas Konstandin

It is pointed out that the exact renormalization group approach to cosmological perturbation theory, proposed in Matarrese and Pietroni, JCAP 0706 (2007) 026, arXiv:astro-ph/0703563 and arXiv:astro-ph/0702653, constitutes a misnomer.…

天体物理学 · 物理学 2008-11-26 Oliver J. Rosten

We investigate a novel mapping between solutions to several members of the Klein-Gordon family of equations and solutions to equations describing their reductions via the slowly varying envelope approximation. This mapping creates a link…

数学物理 · 物理学 2021-05-11 Charles W. Robson , Fabio Biancalana

We develop methods to calculate the curvature power spectrum in models where features in the inflaton potential nonlinearly excite modes and generate high frequency features in the spectrum. The first nontrivial effect of excitations…

宇宙学与河外天体物理 · 物理学 2018-09-18 V Miranda , Wayne Hu , Chen He , Hayato Motohashi

The Riemann-Hilbert problem associated with the integrable PDE is used as a nonlinear transformation of the nearly integrable PDE to the spectral space. The temporal evolution of the spectral data is derived with account for arbitrary…

可精确求解与可积系统 · 物理学 2015-06-26 V. S. Shchesnovich

A novel model of wave turbulence is presented which allows to explain in the same frame various nonlinear wave phenomena: intermittency, form and direction of the energy cascades, formation of a zero-frequency band with non-zero energy,…

数学物理 · 物理学 2015-03-19 E. Kartashova

We present a covariant formalism for studying nonlinear perturbations of scalar fields. In particular, we consider the case of two scalar fields and introduce the notion of adiabatic and isocurvature covectors. We obtain differential…

天体物理学 · 物理学 2010-10-27 David Langlois , Filippo Vernizzi

We present a new approach to describe statistics of the non-linear matter density field that exploits a degeneracy in the impact of different cosmological parameters on the linear dimensionless matter power spectrum, $\Delta^2_{\rm L}(k)$.…

宇宙学与河外天体物理 · 物理学 2022-06-29 Ariel G. Sanchez , Andrés N. Ruiz , Jenny Gonzalez Jara , Nelson D. Padilla

Nonlinear density response theory is revisited focusing on the harmonically perturbed finite temperature uniform electron gas. Within the non-interacting limit, brute force quantum kinetic theory calculations for the quadratic, cubic,…

量子气体 · 物理学 2023-05-23 Panagiotis Tolias , Tobias Dornheim , Zhandos A. Moldabekov , Jan Vorberger

A main feature of high-energy scattering in QCD is saturation in the number density of gluons. This phenomenon is described by non-linear evolution equations, JIMWLK and BK, which have been derived at leading logarithmic accuracy. In this…

高能物理 - 唯象学 · 物理学 2008-11-26 Einan Gardi , Janne Kuokkanen , Kari Rummukainen , Heribert Weigert
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