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We perform a detailed comparison of the phase-space density traced by the particle distribution in Gadget simulations to the result obtained with a spherical Vlasov solver using the splitting algorithm. The systems considered are apodized…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 S. Colombi , T. Sousbie , S. Peirani , G. Plum , Y. Suto

We present a new time-stepping criterion for N-body simulations that is based on the true dynamical time of a particle. This allows us to follow the orbits of particles correctly in all environments since it has better adaptivity than…

Astrophysics · Physics 2009-10-12 Marcel Zemp , Joachim Stadel , Ben Moore , C. Marcella Carollo

We describe and demonstrate the potential of a new and very efficient method for simulating certain classes of modified gravity theories, such as the widely studied $f(R)$ gravity models. High resolution simulations for such models are…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-14 Sownak Bose , Baojiu Li , Alexandre Barreira , Jian-hua He , Wojciech A. Hellwing , Kazuya Koyama , Claudio Llinares , Gong-Bo Zhao

Observations of the cosmic velocity field could become an important cosmological probe in the near future. To take advantage of future velocity-flow surveys we must however have the theoretical predictions under control. In many respects,…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-03 Camilla T. G. Sørensen , Steen Hannestad , Thomas Tram

This paper aims at quantifying discreetness effects, born of finite particle number, on the dynamics of dark matter haloes forming in the context of cosmological simulations. By generalising the standard calculation of two body relaxation…

Astrophysics · Physics 2009-11-11 Amr El-Zant

Much of standard galaxy dynamics rests on the implicit assumption that the corresponding N-body problem is (near) integrable. This notion although leading to great simplification is by no means a fact. It is therefore important to develop…

Astrophysics · Physics 2008-02-03 Amr El-Zant

The initial conditions for Newtonian $N$-body simulations are usually generated by applying the Zel'dovich approximation to the initial displacements of the particles using an initial power spectrum of density fluctuations generated by an…

Cosmology and Nongalactic Astrophysics · Physics 2015-12-23 Christian Fidler , Cornelius Rampf , Thomas Tram , Robert Crittenden , Kazuya Koyama , David Wands

Including massive neutrinos in $N$-body simulations is a challenging task due to the large thermal velocities of the neutrinos. In particle based codes this leads to problems of shot-noise due to insufficient sampling of the neutrino…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-10 Jacob Brandbyge , Steen Hannestad , Thomas Tram

We demonstrate that the chaotic nature of N-body systems can lead to macroscopic variations in the evolution of collisionless simulations containing rotationally supported discs. The unavoidable stochasticity that afflicts all simulations…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 J. A. Sellwood , Victor P. Debattista

This paper focuses on the parallel implementation of a direct $N$-body method~(particle-particle algorithm) and the application of multiple GPUs for galactic dynamics simulations. Application of a hybrid OpenMP-CUDA technology is considered…

Computational Physics · Physics 2018-03-06 S. S. Khrapov , S. A. Khoperskov , A. V. Khoperskov

In cosmology numerical simulations of structure formation are now of central importance, as they are the sole instrument for providing detailed predictions of current cosmological models for a whole class of important constraining…

Statistical Mechanics · Physics 2009-11-13 Michael Joyce

Wavelet basis functions are a natural tool for analyzing turbulent flows containing localized coherent structures of different spatial scales. Here, wavelets are used to study the onset and subsequent transition to fully developed…

Plasma Physics · Physics 2022-04-13 Ari Le , Vadim Roytershteyn , Homa Karimabadi , Adam Stanier , Luis Chacon , Kai Schneider

The advent of the new generation of wide field galaxy surveys makes large N-body cosmological simulations a necessary evil. While the cosmological simulation codes have evolved a lot since the first calculations in the 80s, the…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-15 Claudio Llinares

This lecture gives a short introduction to different methods used in cosmology. The focus is on major features of N-body simulations: equations, main numerical techniques, effects of resolution, and methods of halo identification.

Astrophysics · Physics 2007-05-23 Anatoly Klypin

Cosmic voids are progressively emerging as a new viable cosmological probe. Their abundance and density profiles are sensitive to modifications of gravity, as well as to dark energy and neutrinos. The main goal of this work is to…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-21 Sofia Contarini , Federico Marulli , Lauro Moscardini , Alfonso Veropalumbo , Carlo Giocoli , Marco Baldi

We report on resent N-body simulations of galaxy formation performed on the GRAPE-4 (GRAvity PipE) system, a special-purpose computer for astrophysical N-body simulations. We review the astrophysical motivation, the algorithm, the actual…

Astrophysics · Physics 2008-02-03 Toshiyuki Fukushige , Junichiro Makino

In N-body simulations the force calculated between particles representing a given mass distribution is usually softened, to diminish the effect of graininess. In this paper we study the effect of such a smoothing, with the aim of finding an…

Astrophysics · Physics 2009-10-31 E. Athanassoula , E. Fady , J. -C. Lambert , A. Bosma

Debris discs are traditionally studied using two distinct types of numerical models: statistical particle-in-a-box codes to study their collisional and size distribution evolution, and dynamical N-body models to study their spatial…

Earth and Planetary Astrophysics · Physics 2015-05-30 Philippe Thebault

There is strong evidence that cosmological N-body simulations dominated by Warm Dark Matter (WDM) contain spurious or unphysical haloes, most readily apparent as regularly spaced low-mass haloes strung along filaments. We show that spurious…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-17 Chris Power , Aaron S. G. Robotham , Danail Obreschkow , Alexander Hobbs , Geraint F. Lewis

Quantum computing has attracted considerable public attention due to its exponential speedup over classical computing. Despite its advantages, today's quantum computers intrinsically suffer from noise and are error-prone. To guarantee the…

Quantum Physics · Physics 2022-07-29 Shaolun Ruan , Yong Wang , Weiwen Jiang , Ying Mao , Qiang Guan
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