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In this paper we show that a normal total number-of-particle fluctuation can be obtained consistently from the static thermodynamic relation and dynamic compressibility sum rule. In models using the broken U(1) gauge symmetry, in order to…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Chang-hua Zhang

In this talk we discuss some of the main theoretical problems in the understanding of the statistical properties of gravity. By means of N-body simulations we approach the problem of understanding the r\^ole of gravity in the clustering of…

Statistical Mechanics · Physics 2009-11-07 M. Bottaccio , R. Capuzzo Dolcetta , P. Miocchi , A. Amici , M. Montuori , L. Pietronero

We consider here the gravitational collapse of a spherically symmetric inhomogeneous dust cloud described by the Tolman-Bondi models. By studying a general class of these models, we find that the end state of the collapse is either a black…

General Relativity and Quantum Cosmology · Physics 2009-10-22 P. S. Joshi , T. P. Singh

We present the initial conditions for a decaying cosmological perturbation and study its signatures in the CMB anisotropies and matter power spectra. An adiabatic decaying mode in presence of components which are not described as perfect…

Astrophysics · Physics 2009-11-10 Luca Amendola , Fabio Finelli

We study the dynamical state of cores by using a simple analytical model, a sample of observational massive cores, and numerical simulations of collapsing massive cores. From the model, we find that, if cores are formed from turbulent…

Astrophysics of Galaxies · Physics 2018-06-27 Javier Ballesteros-Paredes , Enrique Vázquez-Semadeni , Aina Palau , Ralf S. Klessen

We model a compact radiant star that undergoes gravitational collapse from a certain initial static configuration until it becomes a black hole. The star consists of a fluid with anisotropy in pressures, bulk viscosity, in addition to the…

General Relativity and Quantum Cosmology · Physics 2023-04-26 A. C. Mesquita , M. F. A. da Silva

We present an analytical model for the non-spherical collapse of overdense regions out of a Gaussian random field of initial cosmological perturbations. The collapsing region is treated as an ellipsoid of constant density, acted upon by the…

Astrophysics · Physics 2009-10-22 Daniel J. Eisenstein , Abraham Loeb

We investigate the structural properties of a two-dimensional system of ellipsoidal particles carrying a linear quadrupole moment in their center. These particles represent a simple model for a variety of uncharged, non-polar conjugated…

Soft Condensed Matter · Physics 2016-03-11 Thomas Heinemann , Moritz Antlanger , Martial Mazars , Sabine H. L. Klapp , Gerhard Kahl

We study analytically the collapse of an initially smooth, cold, self-gravitating collisionless system in one dimension. The system is described as a central "S" shape in phase-space surrounded by a nearly stationary halo acting locally…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 Stephane Colombi

The neutron drop is firstly investigated in an axially symmetric harmonic oscillator (ASHO) field, whose potential strengths of different directions can be controlled artificially. The shape of the neutron drop will change from spherical to…

Nuclear Theory · Physics 2021-07-14 Xiaohan Ding , Jinniu Hu , Ying Zhang , Hong Shen

We formulate the problem of the formation and collapse of nonaxisymmetric protostellar cores in weakly ionized, self-gravitating, magnetic molecular clouds. In our formulation, molecular clouds are approximated as isothermal, thin (but with…

Astrophysics · Physics 2011-02-11 Glenn E. Ciolek , Shantanu Basu

The dynamical justifications which lie at the basis of an effective Statistical Mechanics for self gravitating systems are formulated, analyzing some among the well known obstacles thought to prevent a rigorous Statistical treatment. It is…

Astrophysics · Physics 2009-11-06 Piero Cipriani , Marco Pettini

Gravitational collapse of cylindrical anisotropic fluid has been considered in analogy with the work of Misner and Sharp. Using Darmois matching conditions, the interior cylindrical dissipative fluid (in the form of shear viscosity and heat…

General Physics · Physics 2016-03-01 Sanjukta Chakraborty , Subenoy Chakraborty

The applicability of the highly idealized secondary infall model to `realistic' initial conditions is investigated. The collapse of proto-halos seeded by $3\sigma$ density perturbations to an Einstein--de Sitter universe is studied here for…

Astrophysics · Physics 2009-10-28 Saleem Zaroubi , Avi Naim , Yehuda Hoffman

Following inflation, the Universe may pass through an early matter-dominated phase supported by the oscillating inflaton condensate. Initially small fluctuations in the condensate grow gravitationally on subhorizon scales and can collapse…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-03 Benedikt Eggemeier , Jens C. Niemeyer , Karsten Jedamzik , Richard Easther

After decoupling, relic neutrinos traverse the evolving gravitational imhomogeneities along their trajectories. Once they turn non-relativistic, this results in a significant amplification of the anisotropies in the cosmic neutrino…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-14 Fabian Zimmer , Guillermo Franco Abellán , Shin'ichiro Ando

We discuss the effect that small fluctuations of both local anisotropy and energy density, may have on the occurrence of cracking in spherical compact objects satisfying a polytropic equation of state. A systematic scheme to bring the fluid…

General Relativity and Quantum Cosmology · Physics 2021-08-24 P. León , E. Fuenmayor , E. Contreras

Using Heisenberg's uncertainty principle it is shown that the gravitational stability condition for a crystalline vacuum cosmic space implies to obtain an equation formally equivalent to the relation first used by Gamow to predict the…

This is an essay sketching the line of thinking which has led the present author to propose the constituent or atomic model of gravitation more than a decade ago. It turns out that viewing the problem of gravitation as a quantum many body…

Astrophysics · Physics 2009-10-19 Pawel O. Mazur

In the $(\lambda_{\rm R}, \varepsilon)$ and $(V/\sigma, \varepsilon)$ diagrams for characterizing dynamical states, the fast-rotator galaxies (both early-type and spirals) are distributed within a well-defined leaf-shaped envelope. This was…

Astrophysics of Galaxies · Physics 2020-11-04 Bitao Wang , Michele Cappellari , Yingjie Peng