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Machine-learning electronic Hamiltonians achieve orders-of-magnitude speedups over density-functional theory, yet current models omit long-range Coulomb interactions that govern physics in polar crystals and heterostructures. We derive…

计算物理 · 物理学 2026-03-23 Yang Zhong , Xiwen Li , Xingao Gong , Hongjun Xiang

Perturbation theory is an indispensable tool for studying the cosmic large-scale structure, and establishing its limits is therefore of utmost importance. One crucial limitation of perturbation theory is shell-crossing, which is the…

宇宙学与河外天体物理 · 物理学 2021-06-25 Cornelius Rampf , Oliver Hahn

Optimal extraction of the non-Gaussian information encoded in the Large-Scale Structure (LSS) of the universe lies at the forefront of modern precision cosmology. We propose achieving this task through the use of the Wavelet Scattering…

宇宙学与河外天体物理 · 物理学 2022-05-30 Georgios Valogiannis , Cora Dvorkin

We derive a recursion relation in the framework of Lagrangian perturbation theory, appropriate for studying the inhomogeneities of the large scale structure of the universe. We use the fact that the perturbative expansion of the matter…

宇宙学与河外天体物理 · 物理学 2014-03-27 Cornelius Rampf

We extend the multi-tracer (MT) formalism of the effective field theory of large-scale structure to redshift space, comparing the results of MT to a single-tracer analysis when extracting cosmological parameters from simulations. We used a…

宇宙学与河外天体物理 · 物理学 2023-06-12 Thiago Mergulhão , Henrique Rubira , Rodrigo Voivodic

We study the evolution of matter density perturbations in Galileon cosmology where the late-time cosmic acceleration can be realized by a field kinetic energy. We obtain full perturbation equations at linear order in the presence of five…

宇宙学与河外天体物理 · 物理学 2011-02-23 Antonio De Felice , Ryotaro Kase , Shinji Tsujikawa

Cosmological simulations of galaxy formation are limited by finite computational resources. We draw from the ongoing rapid advances in Artificial Intelligence (specifically Deep Learning) to address this problem. Neural networks have been…

宇宙学与河外天体物理 · 物理学 2021-05-10 Yin Li , Yueying Ni , Rupert A. C. Croft , Tiziana Di Matteo , Simeon Bird , Yu Feng

The standard numerical tools for studying non-linear collapse of matter are Newtonian $N$-body simulations. Previous work has shown that these simulations are in accordance with General Relativity (GR) up to first order in perturbation…

宇宙学与河外天体物理 · 物理学 2016-10-07 Christian Fidler , Thomas Tram , Cornelius Rampf , Robert Crittenden , Kazuya Koyama , David Wands

We present a new approach to computing the matter density power spectrum, from large linear scales to small highly nonlinear scales. Instead of explicitly computing a partial series of high-order diagrams, as in perturbative resummation…

宇宙学与河外天体物理 · 物理学 2013-05-17 Patrick Valageas , Takahiro Nishimichi , Atsushi Taruya

Previous studies using numerical simulations have demonstrated that the shape of the cosmic web can be described by studying the Lagrangian displacement field. We extend these analyses, showing that it is now possible to perform a…

宇宙学与河外天体物理 · 物理学 2017-06-28 Florent Leclercq , Jens Jasche , Guilhem Lavaux , Benjamin Wandelt , Will Percival

We treat here general relativistically the issue of galaxy formation, which is a major problem in cosmology. While the current models use a top-hat collapse model, coupled with Newtonian virialization technique to balance the…

广义相对论与量子宇宙学 · 物理学 2019-07-31 Dipanjan Dey , Prashant Kocherlakota , Pankaj S. Joshi

Lagrangian displacement field $\Psi$ is the central object in Lagrangian perturbation theory (LPT). LPT is very successful at high redshifts, but it performs poorly at low redshifts due to severe shell crossing. To understand and quantify…

宇宙学与河外天体物理 · 物理学 2014-09-16 Kwan Chuen Chan

Spectroscopic redshift surveys are key tools to trace the large-scale structure (LSS) of the Universe and test the $\Lambda$CDM model. However, using redshifts as distance proxies introduces distortions in the 3D galaxy distribution. If…

宇宙学与河外天体物理 · 物理学 2026-02-09 Edoardo Maragliano , Punyakoti Ganeshaiah Veena , Giulia Degni , Enzo Franco Branchini

Dynamics of a one-dimensional system of Brownian particles with short-range repulsive interaction (diameter sigma) is studied with a liquid-theoretical approach. The mean square displacement, the two-particle displacement correlation, and…

统计力学 · 物理学 2013-12-06 T. Ooshida , S. Goto , T. Matsumoto , A. Nakahara , M. Otsuki

We study the bispectrum in Lagrangian perturbation theory. Extending past results for the power spectrum, we describe a method to efficiently compute the bispectrum in LPT, focusing on the Zeldovich approximation, in which contributions due…

宇宙学与河外天体物理 · 物理学 2024-10-07 Shi-Fan Chen , Zvonimir Vlah , Martin White

Spherical truncations of Coulomb interactions in standard models for water permit efficient molecular simulations and can give remarkably accurate results for the structure of the uniform liquid. However truncations are known to produce…

统计力学 · 物理学 2009-11-13 Jocelyn M. Rodgers , John D. Weeks

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…

宇宙学与河外天体物理 · 物理学 2022-02-14 Raul E. Angulo , Oliver Hahn

A common ingredient in cosmological perturbation theory (PT) is the expansion of the dark matter overdensity $\delta$ in the Lagrangian displacement $s$, which amounts to enforcing mass conservation perturbatively. In Eulerian PT (EPT),…

宇宙学与河外天体物理 · 物理学 2026-05-29 Svetlin V. Tassev

Building upon the recent pioneering work by Mazenko and by Das and Mazenko, we develop a microscopic, non-equilibrium, statistical field theory for initially correlated canonical ensembles of classical microscopic particles obeying…

统计力学 · 物理学 2019-04-08 Matthias Bartelmann , Felix Fabis , Daniel Berg , Elena Kozlikin , Robert Lilow , Celia Viermann

We present a field-level emulator for large-scale structure, capturing the cosmology dependence and the time evolution of cosmic structure formation. The emulator maps linear displacement fields to their corresponding nonlinear…

宇宙学与河外天体物理 · 物理学 2024-08-15 Drew Jamieson , Yin Li , Francisco Villaescusa-Navarro , Shirley Ho , David N. Spergel