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We consider a Lemaitre - Tolman - Bondi type space-time in Einstein gravity with the Gauss-Bonnet combination of quadratic curvature terms, and present exact solution in closed form. It turns out that the presence of the coupling constant…

General Relativity and Quantum Cosmology · Physics 2015-05-18 S. Jhingan , Sushant G. Ghosh

Effective models of gravitational collapse in loop quantum gravity for the Lema\^itre-Tolman-Bondi spacetime predict that collapsing matter reaches a maximum finite density, bounces, and then expands outwards. We show that in the marginally…

General Relativity and Quantum Cosmology · Physics 2024-04-23 Francesco Fazzini , Viqar Husain , Edward Wilson-Ewing

The question of collapse (blow-up) in finite time is investigated for the two-dimensional (non-integrable) space-time nonlocal nonlinear Schrodinger equations. Starting from the two-dimensional extension of the well known AKNS q,r system,…

Pattern Formation and Solitons · Physics 2024-02-20 Justin T. Cole , Abdullah M. Aurko , Ziad H. Musslimani

An analytical description of the interface motion of a collapsing nanometer-sized spherical cavity in water is presented by a modification of the Rayleigh-Plesset equation in conjunction with explicit solvent molecular dynamics simulations.…

Soft Condensed Matter · Physics 2009-11-13 Joachim Dzubiella

In this essay we examine the gravitational collapse of a nonrelativistic charged perfect fluid interacting with a dark energy component. Given a simple factor for the energy transfer, we obtain a nonsingular interior solution which…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Rodrigo Maier

We extend our previous analysis of holographic heavy ion collisions in non-conformal theories. We provide a detailed description of our numerical code. We study collisions at different energies in gauge theories with different degrees of…

Compressible flow varies from ideal-gas behavior at high pressures where molecular interactions become important. Density is described through a cubic equation of state while enthalpy and sound speed are functions of both temperature and…

Fluid Dynamics · Physics 2020-03-11 William A. Sirignano

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

The ideal gas laws are derived from the democritian concept of corpuscles moving in vacuum plus a principle of simplicity, namely that these laws are independent of the laws of motion aside from the law of energy conservation. A single…

Classical Physics · Physics 2013-04-23 Jacques Arnaud , Laurent Chusseau , Fabrice Philippe

The general theory of matching conditions is developed for gravitational theories in two spacetime dimensions. Models inspired from general relativity and from string theory are considered. These conditions are used to study collapsing dust…

High Energy Physics - Theory · Physics 2010-04-06 R. B. Mann , S. F. Ross

In the present work we study spherically symmetric gravitational collapse of a homogeneous perfect fluid in the context of Generalized Rastall Theory (GRT). In this modified version of the original {Rastall Gravity (RG)}, the coupling…

General Physics · Physics 2021-11-03 A. H. Ziaie , H. Moradpour , M. Mohammadi Sabet

A gas composed of a large number of atoms evolving according to Newtonian dynamics is often described by continuum hydrodynamics. Proving this rigorously is an outstanding open problem, and precise numerical demonstrations of the…

Statistical Mechanics · Physics 2021-06-22 Subhadip Chakraborti , Santhosh Ganapa , P. L. Krapivsky , Abhishek Dhar

The stability analysis of self-similar solutions is an important approach to confirm whether they act as an attractor in general non-self-similar gravitational collapse. Assuming that the collapsing matter is a perfect fluid with the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Eiji Mitsuda , Akira Tomimatsu

We discuss the phenomenon of Bose-Einstein condensation of an ideal non-relativistic Bose gas in an arbitrarily shaped cavity. The influence of the finite extension of the cavity on all thermodynamical quantities, especially on the critical…

Statistical Mechanics · Physics 2009-10-31 Klaus Kirsten , David J. Toms

Bose-Einstein condensation has been realized in dilute atomic vapors. This achievement has generated immerse interest in this field. Presented is a review of recent theoretical research into the properties of trapped dilute-gas…

Soft Condensed Matter · Physics 2009-10-31 Takeya Tsurumi , Hirofumi Morise , Miki Wadati

Generalized forms of jump relations are obtained for one dimensional shock waves propagating in a non-ideal gas which reduce to Rankine-Hugoniot conditions for shocks in idea gas when non-idealness parameter becomes zero. The equation of…

High Energy Astrophysical Phenomena · Physics 2015-06-05 R. K. Anand

The basic strategy underlying models of spontaneous wave function collapse (collapse models) is to modify the Schroedinger equation by including nonlinear stochastic terms, which tend to localize wave functions in space in a dynamical…

Quantum Physics · Physics 2015-06-18 A. Bassi , H. Ulbricht

The properties of systems with Bose-Einstein condensate in external time-independent random potentials are investigated in the frame of a self-consistent stochastic mean-field approximation. General considerations are presented, which are…

Statistical Mechanics · Physics 2009-11-11 V. I. Yukalov , R. Graham

This paper demonstrates that rapid fracture of ideal brittle lattices naturally involves phenomena long seen in experiment, but which have been hard to understand from a continuum point of view. These idealized models do not mimic realistic…

chao-dyn · Physics 2009-10-22 Michael Marder , Steve Gross

The precise tuning required to observe critical phenomena in gravitational collapse poses a challenge for most numerical codes. First, threshold estimation searches may be obstructed by the appearance of coordinate singularities, indicating…

General Relativity and Quantum Cosmology · Physics 2024-09-24 Daniela Cors , Sarah Renkhoff , Hannes R. Rüter , David Hilditch , Bernd Brügmann