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In this paper we study the evolution of a spherical matter overdensity in the context of the recently introduced Galileon field theory. Our analysis considers the complete covariant Lagrangian in four dimensions. This theory is composed by…

Cosmology and Nongalactic Astrophysics · Physics 2013-11-20 Emilio Bellini , Nicola Bartolo , Sabino Matarrese

An analytical theory is developed to describe the dynamics of a closed lipid bilayer membrane (vesicle) freely suspended in a general linear flow. Considering a nearly spherical shape, the solution to the creeping-flow equations is obtained…

Biological Physics · Physics 2009-11-13 Petia M. Vlahovska , Ruben Serral Gracia

We present the problematic of controlling the discreteness effects in cosmological N-body simulations. We describe a perturbative treatment which gives an approximation describing the evolution under self-gravity of a lattice perturbed from…

Statistical Mechanics · Physics 2009-11-13 B. Marcos

Motivated by recent observational searches of sub-structure in starless molecular cloud cores, we investigate the evolution of density perturbations on scales smaller than the Jeans length embedded in contracting isothermal clouds, adopting…

Solar and Stellar Astrophysics · Physics 2017-12-20 C. Toci , D. Galli , A. Verdini , L. Del Zanna , S. Landi

This paper is concerned with collisionless aspects of the early evolution of model star clusters. The effects of mass loss through stellar evolution and of a steady tidal field are modelled using $N$-body simulations. Our results (which…

Astrophysics · Physics 2015-06-24 Toshiyuki Fukushige , Douglas C. Heggie

Topological defects can be formed during inflation by phase transitions as well as by quantum nucleation. We study the effect of the expansion of the Universe on the internal structure of the defects. We look for stationary solutions to the…

General Relativity and Quantum Cosmology · Physics 2010-11-01 R. Basu , A. Vilenkin

We study the full out-of-thermal-equilibrium dynamics of a relativistic classical scalar field through a symmetry breaking phase transition. In these circumstances we determine the evolution of the ensemble averages of the correlation…

High Energy Physics - Phenomenology · Physics 2009-10-28 N. D. Antunes , L. M. A. Bettencourt

A method for approximating dark soliton solutions of the nonlinear Schrodinger equation under the influence of perturbations is presented. The problem is broken into an inner region, where core of the soliton resides, and an outer region,…

Mathematical Physics · Physics 2015-05-19 Mark J. Ablowitz , Sean D. Nixon , Theodoros P. Horikis , Dimitri J. Frantzeskakis

We present a fully nonlinear hydrodynamic 'shallow water' model of the solar tachocline. The model consists of a global spherical shell of differentially rotating fluid, which has a deformable top, thus allowing motions in radial directions…

Solar and Stellar Astrophysics · Physics 2011-11-22 Mausumi Dikpati

Disclinations, first observed in mesomorphic phases, are relevant to a number of ill-ordered condensed matter media, with continuous symmetries or frustrated order. They also appear in polycrystals at the edges of grain boundaries. They are…

Soft Condensed Matter · Physics 2009-11-13 Maurice Kleman , Jacques Friedel

Nonlinear evolutions of two-dimensional single-mode compressible Rayleigh--Taylor instability (RTI) with isothermal stratification are investigated in cylindrical geometry via direct numerical simulation for different Atwood numbers…

Fluid Dynamics · Physics 2025-02-04 Ming Yuan , Zhiye Zhao , Luoqin Liu , Pei Wang , Nan-Sheng Liu , Xi-Yun Lu

Recently, a supersymmetric model of dark energy coupled to cold dark matter, the supersymmetron, has been proposed. In the absence of cold dark matter, the supersymmetron field converges to a supersymmetric minimum with a vanishing…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-30 Philippe Brax , Anne-Christine Davis , Hans A. Winther

The short time behavior of a disturbed system is influenced by off-shell motion and best characterized by the reduced density matrix possessing high energetic tails. We present analytically the formation of correlations due to collisions in…

Quantum Physics · Physics 2016-11-23 Klaus Morawetz , Václav Špička , Pavel Lipavský

It is known that a finite-size homogeneous granular fluid develops an hydrodynamic-like instability when dissipation crosses a threshold value. This instability is analyzed in terms of modified hydrodynamic equations: first, a source term…

Statistical Mechanics · Physics 2009-10-31 R. Soto , M. Mareschal , M. Malek Mansour

This study examines the dynamical evolution of self-gravitating systems in the presence of exotic matter within the framework of $f(R)$ gravity. Specifically, we have adopted the Starobinsky model $f(R) = R + \alpha R^2$, which incorporates…

General Relativity and Quantum Cosmology · Physics 2025-11-18 A. Zahra , S. A. Mardan , Muhammad Bilal Riaz , Javlon Rayimbaev , Inomjon Ibragimov , Munisbek Akhmedov , Erkaboy Davletov

We consider the Vlasov-Poisson system in a cosmological setting and prove nonlinear stability of homogeneous solutions against small, spatially periodic perturbations in the sup-norm of the spatial mass density. This result is connected…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Gerhard Rein

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

In terms of the excursion set model, we used Monte Carlo methods in order to study the non-Markovian stochastic evolution of the smoothed overdensity $\delta$ at scale $S$. For a Gaussian density field, smoothed by the top-hat filter, in…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-23 Nicos Hiotelis

Inspired on the well known dynamical dichotomy predicted in voids, where some underdense regions expand whereas others collapse due to overdense surrounding regions, we explored the interplay between the void inner dynamics and its large…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-30 A. N. Ruiz , D. J. Paz , M. Lares , H. E. Luparello , L. Ceccarelli , D. G. Lambas

We develop a covariant formalism to study nonlinear perturbations of dissipative and interacting relativistic fluids. We derive nonlinear evolution equations for various covectors defined as linear combinations of the spatial gradients of…

Astrophysics · Physics 2009-11-11 David Langlois , Filippo Vernizzi