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We present a simple and intuitive approximation for solving perturbation theory (PT) of small cosmic fluctuations. We consider only the spherically symmetric or monopole contribution to the PT integrals, which yields the exact result for…

Astrophysics · Physics 2009-10-30 P. Fosalba , E. Gaztanaga

We analyze the dynamical equations obeyed by a classical system with position-dependent mass. It is shown that there is a non-conservative force quadratic in the velocity associated to the variable mass. We construct the Lagrangian and the…

Mathematical Physics · Physics 2013-01-18 Sara Cruz y Cruz , Oscar Rosas-Ortiz

A theory of gravity in $d+1$ dimensions is dynamically generated from a theory in $d$ dimensions. As an application we show how $N$ dynamically coupled gravity theories can reduce the effective Planck mass.

High Energy Physics - Theory · Physics 2009-11-07 Myron Bander

We revise the cosmological standard model presuming that matter, i.e. baryons and cold dark matter, exhibits a non-vanishing pressure mimicking the cosmological constant effects. In particular, we propose a scalar field Lagrangian $\mathcal…

General Relativity and Quantum Cosmology · Physics 2018-11-28 Orlando Luongo , Marco Muccino

The mass distribution of halos, as specified by the halo mass function, is a key input for several cosmological probes. The sizes of $N$-body simulations are now such that, for the most part, results need no longer be statistics-limited,…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Suman Bhattacharya , Katrin Heitmann , Martin White , Zarija Lukić , Christian Wagner , Salman Habib

We present the mass functions for different mass estimators for a range of cosmological models. We pay particular attention to how universal the mass function is, and how it depends on the cosmology, halo identification and mass estimator…

Astrophysics · Physics 2008-11-26 Martin White

We evaluate the mass function of virialized halos, by using Press & Schechter (PS) and/or Steth & Tormen (ST) expressions, for cosmologies where Dark Energy (DE) is due to a scalar self-interacting field, coupled with Dark Matter (DM). We…

Astrophysics · Physics 2008-11-26 Roberto Mainini , Silvio Bonometto

We modify the Press-Schechter formalism to calculate the mass function of gravitationally bounded objects in a local Universe with size $L> 10h^{-1}$Mpc, i.e. separately in voids ($\Omega_{m,L}<\Omega_m$) and superclusters…

Astrophysics · Physics 2007-05-23 N. A. Arhipova , V. N. Lukash , B. V. Komberg , E. V. Mikheeva

The break-by-one gamma distribution has a probability density function resembling the Schechter function, but with the small-argument behavior modified so it is normalizable in commonly arising cases where the Schechter function is not. Its…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-31 Thomas J. Loredo

A real-space formalism for density-functional perturbation theory (DFPT) is derived and applied for the computation of harmonic vibrational properties in molecules and solids. The practical implementation using numeric atom-centered…

Materials Science · Physics 2017-03-08 Honghui Shang , Christian Carbogno , Patrick Rinke , Matthias Scheffler

The Press--Schechter, excursion set approach allows one to make predictions about the shape and evolution of the mass function of bound objects. It combines the assumption that objects collapse spherically with the assumption that the…

Astrophysics · Physics 2008-11-26 Ravi K. Sheth , H. J. Mo , Giuseppe Tormen

Meshfree Lagrangian frameworks for free surface flow simulations do not conserve fluid volume. Meshfree particle methods like SPH are not mimetic, in the sense that discrete mass conservation does not imply discrete volume conservation. On…

Fluid Dynamics · Physics 2025-01-27 Pratik Suchde , Christian Leithäuser , Jörg Kuhnert , Stéphane P. A. Bordas

A long-standing quantum-mechanical puzzle is whether the collapse of the wave function is a real physical process or simply an epiphenomenon. This puzzle lies at the heart of the measurement problem. One way to choose between the…

Quantum Physics · Physics 2016-12-23 A. Yu. Ignatiev

Homogeneous isotropic spatial flat cosmological models with two torsion functions in vacuum are built and investigated in the framework of de Sitter gauge theory of gravity. It is shown that by certain choices of parameters of gravitational…

General Relativity and Quantum Cosmology · Physics 2011-10-18 Guo-Ying Qi

Sheth-Tormen mass function has been widely used to quantify the abundance of dark matter halos. It is a significant improvement over the Press-Schechter mass function as it uses ellipsoidal collapse in place of spherical collapse. Both of…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-05 Swati Gavas , J S Bagla , Nishikanta Khandai , Girish Kulkarni

The collapse of non-collisional dark matter and the formation of pancake structures in the Universe are investigated approximately. Collapse is described by a system of ordinary differential equations, in the model of a uniformly rotating,…

Astrophysics · Physics 2007-05-23 G. S. Bisnovatyi-Kogan , O. Yu. Tsupko

This is the first paper of a series of two devoted to develop a practical method to describe the growth history of bound virialized objects in the gravitational instability scenario without resorting to $N$-body simulations. Here we present…

Astrophysics · Physics 2009-10-28 Alberto Manrique , Eduard Salvador-Sole

It is well known that the mass function for_halos_ in CDM cosmology is a relatively steep power law for low masses, possibly too steep to be consistent with observations. But how steep is the_galaxy_ mass function? We have analyzed the…

Astrophysics · Physics 2009-11-06 Weihsueh A. Chiu , Nickolay Y. Gnedin , Jeremiah P. Ostriker

We present a qualitatively new mechanism for dynamical spontaneous breakdown of supersymmetry. Specifically, we construct a modified formulation of standard minimal N=1 supergravity. The modification is based on an idea worked out in detail…

High Energy Physics - Theory · Physics 2014-11-03 Eduardo Guendelman , Emil Nissimov , Svetlana Pacheva , Mahary Vasihoun

The mass function of dark matter halos is one of the most fundamental statistics in structure formation. Many theoretical models (such as Press-Schechter theory) are based on the notion that it could be universal, meaning independent of…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-25 Benedikt Diemer