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In the large $N_c$ limit of QCD, baryons can be modeled as solitons, for instance, as Skyrmions. This modeling has been justified by Witten's demonstration that all properties of baryons and mesons scale with $N_c^{-1/2}$ in the same way as…

High Energy Physics - Theory · Physics 2010-02-03 Aleksey Cherman , Thomas D. Cohen

We present a new parallel PM N-body code named PMFAST that is freely available to the public. PMFAST is based on a two-level mesh gravity solver where the gravitational forces are separated into long and short range components. The…

Astrophysics · Physics 2007-05-23 Hugh Merz , Ue-Li Pen , Hy Trac

We consider the application of quantum corrections computed using renormalization group arguments in the astrophysical domain and show that, for the most natural interpretation of the renormalization group scale parameter, a gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Davi C. Rodrigues , Patricio S. Letelier , Ilya L. Shapiro

We develop a series of N-body data challenges, functional to the final analysis of the extended Baryon Oscillation Spectroscopic Survey (eBOSS) Data Release 16 (DR16) galaxy sample. The challenges are primarily based on high-fidelity…

We use a set of large, high-resolution cosmological N-body simulations to examine the redshift-space distortions of galaxy clustering on scales of order 10-200h^{-1} Mpc. Galaxy redshift surveys currently in progress will, on completion,…

Astrophysics · Physics 2009-06-16 S. J. Hatton , S. Cole

Strong gravitational lensing by galaxies in MOdified Newtonian Dynamics (MOND) has until now been restricted to spherically symmetric models. These models were able to account for the size of the Einstein ring of observed lenses, but were…

Astrophysics · Physics 2009-06-23 HuanYuan Shan , Martin Feix , Benoit Famaey , HongSheng Zhao

We present an efficient numerical method, inspired by transformation optics, for solving the Poisson equation in complex and arbitrarily shaped geometries. The approach operates by mapping the physical domain to a uniform computational…

Numerical Analysis · Mathematics 2026-02-03 Deepak Gautam , Bhooshan Paradkar

A quasi-Newton method with cubic regularization is designed for solving Riemannian unconstrained nonconvex optimization problems. The proposed algorithm is fully adaptive with at most ${\cal O} (\epsilon_g^{-3/2})$ iterations to achieve a…

Optimization and Control · Mathematics 2024-02-21 Mauricio S. Louzeiro , Gilson N. Silva , Jinyun Yuan , Daoping Zhang

We use a one dimensional hydrodynamical code to study the evolution of spherically symmetric perturbations in the framework of Modified Newtonian Dynamics (MOND). The code evolves spherical gaseous shells in an expanding Universe by…

Astrophysics · Physics 2009-11-11 Adi Nusser , Etienne Pointecouteau

A specific modification of Newtonian dynamics known as MOND has been shown to reproduce the dynamics of most astrophysical systems at different scales without invoking non-baryonic dark matter (DM). There is, however, a long-standing…

Astrophysics of Galaxies · Physics 2022-11-09 M. Lopez-Corredoira , J. E. Betancort-Rijo , R. Scarpa , Z. Chrobakova

We extend the physics case for a new high-energy, ultra-high statistics neutrino scattering experiment, NuSOnG (Neutrino Scattering On Glass) to address a variety of issues including precision QCD measurements, extraction of structure…

We compute the structure of a self-gravitating torus with polytropic equation-of-state (EOS) rotating in an imposed centrifugal potential. The Poisson-solver is based on isotropic multigrid with optimal covering factor (fluid…

Astrophysics of Galaxies · Physics 2016-12-07 J. -M. Huré , F. Hersant

We prove the existence of periodic solutions of the N=(n+1)-body problem starting with n bodies whose reduced motion is close to a non-degenerate central configuration and replacing one of them by the center of mass of a pair of bodies…

Dynamical Systems · Mathematics 2021-06-07 Marine Fontaine , Carlos García-Azpeitia

According to the standard model of cosmology, galaxies are embedded in dark matter halos which are made of particles beyond the standard model of particle physics, thus extending the mass and the size of the visible baryonic matter by…

Astrophysics of Galaxies · Physics 2017-01-09 Wolfgang Oehm , Ingo Thies , Pavel Kroupa

Central configurations and relative equilibria are an important facet of the study of the $N$-body problem, but become very difficult to rigorously analyze for $N>3$. In this paper we focus on a particular but interesting class of…

Dynamical Systems · Mathematics 2021-12-14 Yiyang Deng , Marshall Hampton

We present two large cosmological N-body simulations, called Horizon Run 2 (HR2) and Horizon Run 3 (HR3), made using 6000^3 = 216 billions and 7210^3 = 374 billion particles, spanning a volume of (7.200 Gpc/h)^3 and (10.815 Gpc/h)^3,…

Cosmology and Nongalactic Astrophysics · Physics 2012-01-12 Juhan Kim , Changbom Park , Graziano Rossi , Sang Min Lee , J. Richard Gott

In most current debris disc models, the dynamical and the collisional evolutions are studied separately, with N-body and statistical codes, respectively, because of stringent computational constraints. We present here LIDT-DD, the first…

Earth and Planetary Astrophysics · Physics 2015-06-17 Quentin Kral , Philippe Thébault , Sébastien Charnoz

Building upon previous work that derived an alternative to (galactic) dark matter in the form of Modified Newtonian Dynamics (MOND), with a specific theoretical interpolating function, from the motion of a non-relativistic test particle in…

General Relativity and Quantum Cosmology · Physics 2025-11-20 M. E. Pietrzyk , V. A. Kholodnyi , I. V. Kanattšikov , J. Kozicki

Next generation galaxy surveys demand the development of massive ensembles of galaxy mocks to model the observables and their covariances, what is computationally prohibitive using $N$-body simulations. COLA is a novel method designed to…

Cosmology and Nongalactic Astrophysics · Physics 2016-04-07 Albert Izard , Martin Crocce , Pablo Fosalba

The method of characteristics (MOC) is widely used for neutron transport calculation in recent decades. However, the key problem determining whether MOC can be applied in highly heterogeneous geometry is how to combine an effective geometry…

Nuclear Theory · Physics 2015-06-16 Zhen-Ping Chen , Hua-Qing Zhen , Guang-Yao Sun , Jing Song , Li-Juan Hao , Li-Qin Hu , Yi-Can Wu