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The cosmic large-scale structures of the Universe are mainly the result of the gravitational instability of initially small density fluctuations in the dark-matter distribution. Dark matter appears to be initially cold and behaves as a…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-09 Cornelius Rampf

Cosmological simulations describing the evolution of density perturbations of a self-gravitating collisionless Dark Matter (DM) fluid in an expanding background, provide a powerful tool to follow the formation of cosmic structures over wide…

Quantum Physics · Physics 2024-01-29 Luca Cappelli , Francesco Tacchino , Giuseppe Murante , Stefano Borgani , Ivano Tavernelli

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

We review the field of collisionless numerical simulations for the large-scale structure of the Universe. We start by providing the main set of equations solved by these simulations and their connection with General Relativity. We then…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-14 Raul E. Angulo , Oliver Hahn

We present the results of cosmological simulations of large-scale structure formation with massive neutrinos. The phase-space distribution of the cosmic relic neutrinos is followed, for the first time, by directly integrating the…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-09 Kohji Yoshikawa , Satoshi Tanaka , Naoki Yoshida , Shun Saito

Current models of galaxy formation applied to understanding the large-scale structure of the universe have two parts. The first is an accurate solution of the equations of motion for the dark matter due to gravitational clustering. The…

Astrophysics · Physics 2009-11-06 Roman Scoccimarro , Ravi K. Sheth

The cold dark matter model has become the leading theoretical paradigm for the formation of structure in the Universe. Together with the theory of cosmic inflation, this model makes a clear prediction for the initial conditions for…

Wave dark matter ($\psi$DM), which satisfies the Schr\"odinger-Poisson equation, has recently attracted substantial attention as a possible dark matter candidate. Numerical simulations have in the past provided a powerful tool to explore…

Cosmology and Nongalactic Astrophysics · Physics 2018-06-12 Shan-Chang Lin , Hsi-Yu Schive , Shing-Kwong Wong , Tzihong Chiueh

The conventional cold, particle interpretation of dark matter (CDM) still lacks laboratory support and struggles with the basic properties of common dwarf galaxies, which have surprisingly uniform central masses and shallow density…

Astrophysics of Galaxies · Physics 2014-06-26 Hsi-Yu Schive , Tzihong Chiueh , Tom Broadhurst

We consider a perturbative approach to the Vlasov-Poisson system for cosmic structure formation that does not rely on any truncation of the momentum-cumulant hierarchy. The generally non-trivial linear solution is computed by solving a…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-14 Hannes Heisler , Marvin Sipp , Matthias Bartelmann

In these lecture notes, we describe the current state-of-the-art for numerical simulations of large-scale structure and galaxy formation. Numerical simulations play a central role in the preparation and the exploitation of large-scale…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-16 Romain Teyssier

At early times dark matter has a thermal velocity dispersion of unknown amplitude which, for warm dark matter models, can influence the formation of nonlinear structure on observable scales. We propose a new scheme to simulate cosmologies…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-10 Jens Stücker , Oliver Hahn , Raul E. Angulo , Simon D. M. White

Investigating the cosmological implication of the fact that neutrino has finite mass is of importance for fundamental physics. In particular, massive neutrino affects the formation of the large-scale structure (LSS) of the universe, and,…

Quantum Physics · Physics 2024-02-28 Koichi Miyamoto , Soichiro Yamazaki , Fumio Uchida , Kotaro Fujisawa , Naoki Yoshida

Large-scale structure of Universe includes galaxy clusters connected by filaments. Voids occupy the rest of cosmic volume. The search of any dependencities in filament structure can give answer to more general questions about origin of…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-09 V. V. Voitsekhovskiy , A. V. Tugay

Cosmic structures at large scales represent the earliest and most extended form of matter condensation. In this lecture we review the application of the methods and concepts of modern statistical physics to these structures. This leads to a…

Astrophysics · Physics 2017-08-23 Luciano Pietronero , Francesco Sylos Labini

We critically examine how the evolution of the matter density field in cosmological simulations is affected by details of setting up initial conditions. We show that it is non-trivial to realise an initial distribution of matter in…

Astrophysics · Physics 2009-11-07 Naoki Yoshida , Naoshi Sugiyama , Lars Hernquist

We investigate a cosmological scenario in which the dark matter particles can be created during the evolution of the Universe. By regarding the Universe as an open thermodynamic system and using non-equilibrium thermodynamics, we examine…

Cosmology and Nongalactic Astrophysics · Physics 2022-09-20 Z. Safari , K. Rezazadeh , B. Malekolkalami

Models of structure formation in the universe postulate that matter distributions observed today in galaxy catalogs arise, through a complex non-linear dynamics, by gravitational evolution from a very uniform initial state. Dark matter…

Statistical Mechanics · Physics 2009-11-11 Luciano Pietronero , Francesco Sylos Labini

Modern cosmology successfully deals with the origin and the evolution of the Universe at large scales, but it is unable to completely answer the question about the nature of the fundamental objects that it is describing. As a matter of…

High Energy Physics - Phenomenology · Physics 2021-12-08 Aldo Ianni , Massimo Mannarelli , Nicola Rossi

We study cosmological structure formation with ultralight axion dark matter, or "fuzzy dark matter (FDM), using a particle-mesh scheme to account for the quantum pressure arising in the Madelung formulation of the Schr\"odinger-Poisson…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-03 Jan Veltmaat , Jens C. Niemeyer
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