DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Reducing noise in cosmological N-body simulations with neutrinos

Abstract

In this study, we present a new method for generating initial conditions for numerical cosmological simulations in which massive neutrinos are treated as an extra set of N-body (collisionless) particles. It allows us to accurately follow the density field for both Cold Dark Matter (CDM) and neutrinos at both high and low redshifts. At high redshifts, the new method is able to reduce the shot noise in the neutrino power spectrum by a factor of more than 107 compared to previous methods, where the power spectrum was dominated by shot noise at all scales. We find that our new approach also helps to reduce the noise on the total matter power spectrum on large scales, whereas on small scales the results agree with previous simulations. Our new method also allows for a systematic study of clustering of the low velocity tail of the distribution function of neutrinos. Lastly, this method also allows for the study of the evolution of the overall velocity distribution as a function of the environment determined by the CDM field.

Authors:
 [1];  [1];  [1];  [2]
  1. Stanford Univ., CA (United States). Kavli Institute for Particle Astrophysics and Cosmology and Department of Physics; SLAC National Accelerator Lab., Menlo Park, CA (United States)
  2. Flatiron Institute, New York, NY (United States). Center for Computational Astrophysics
Publication Date:
Research Org.:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1475420
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2018; Journal Issue: 09; Journal ID: ISSN 1475-7516
Publisher:
Institute of Physics (IOP)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS

Citation Formats

Banerjee, Arka, Powell, Devon, Abel, Tom, and Villaescusa-Navarro, Francisco. Reducing noise in cosmological N-body simulations with neutrinos. United States: N. p., 2018. Web. doi:10.1088/1475-7516/2018/09/028.
Banerjee, Arka, Powell, Devon, Abel, Tom, & Villaescusa-Navarro, Francisco. Reducing noise in cosmological N-body simulations with neutrinos. United States. https://doi.org/10.1088/1475-7516/2018/09/028
Banerjee, Arka, Powell, Devon, Abel, Tom, and Villaescusa-Navarro, Francisco. Mon . "Reducing noise in cosmological N-body simulations with neutrinos". United States. https://doi.org/10.1088/1475-7516/2018/09/028. https://www.osti.gov/servlets/purl/1475420.
@article{osti_1475420,
title = {Reducing noise in cosmological N-body simulations with neutrinos},
author = {Banerjee, Arka and Powell, Devon and Abel, Tom and Villaescusa-Navarro, Francisco},
abstractNote = {In this study, we present a new method for generating initial conditions for numerical cosmological simulations in which massive neutrinos are treated as an extra set of N-body (collisionless) particles. It allows us to accurately follow the density field for both Cold Dark Matter (CDM) and neutrinos at both high and low redshifts. At high redshifts, the new method is able to reduce the shot noise in the neutrino power spectrum by a factor of more than 107 compared to previous methods, where the power spectrum was dominated by shot noise at all scales. We find that our new approach also helps to reduce the noise on the total matter power spectrum on large scales, whereas on small scales the results agree with previous simulations. Our new method also allows for a systematic study of clustering of the low velocity tail of the distribution function of neutrinos. Lastly, this method also allows for the study of the evolution of the overall velocity distribution as a function of the environment determined by the CDM field.},
doi = {10.1088/1475-7516/2018/09/028},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 09,
volume = 2018,
place = {United States},
year = {Mon Sep 17 00:00:00 EDT 2018},
month = {Mon Sep 17 00:00:00 EDT 2018}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 34 works
Citation information provided by
Web of Science

Figures / Tables:

Figure 1 Figure 1: Illustration of our method for dividing up the initial Fermi-Dirac distribution for neutrinos. The solid lines represent the boundaries of different momentum bins, while the dashed lines represent the velocity associated with each shell (〈pi〉). On the top, we show the case when all the subdivisions have themore » same mass or phase-space volume. This has more resolution near the peak of the distribution. At the bottom, we show the subdivisions for the case where $g(p)$ as defined in the text is taken to be $g(p)$ = $p f(p)$. This puts more resolution on the slower end of the distribution function. Each sub-division of the distribution corresponds to a “shell” in our terminology.« less

Save / Share:

Works referenced in this record:

Evidence for Oscillation of Atmospheric Neutrinos
journal, August 1998


Measurement of the Rate of ν e + d p + p + e Interactions Produced by B 8 Solar Neutrinos at the Sudbury Neutrino Observatory
journal, July 2001


Measurement of neutrino oscillation by the K2K experiment
journal, October 2006


Observation of Electron-Antineutrino Disappearance at Daya Bay
journal, April 2012


Weighing Neutrinos with Galaxy Surveys
journal, June 1998


Massive neutrinos and cosmology
journal, July 2006


Planck 2013 results. XVI. Cosmological parameters
journal, October 2014


Planck 2015 results : XIII. Cosmological parameters
journal, September 2016


Two-season Atacama Cosmology Telescope polarimeter lensing power spectrum
journal, June 2017


Cosmological Constraints from Galaxy Clusters in the 2500 Square-Degree Spt-Sz Survey
journal, November 2016


Neutrino masses and cosmology with Lyman-alpha forest power spectrum
journal, November 2015

  • Palanque-Delabrouille, Nathalie; Yèche, Christophe; Baur, Julien
  • Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 11
  • DOI: 10.1088/1475-7516/2015/11/011

Constraint on neutrino masses from SDSS-III/BOSS Lyα forest and other cosmological probes
journal, February 2015

  • Palanque-Delabrouille, Nathalie; Yèche, Christophe; Lesgourgues, Julien
  • Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 02
  • DOI: 10.1088/1475-7516/2015/02/045

Dark Energy Survey year 1 results: Cosmological constraints from galaxy clustering and weak lensing
journal, August 2018


Dark Energy Survey Year 1 results: Cosmological constraints from cosmic shear
journal, August 2018


Improvement of cosmological neutrino mass bounds
journal, October 2016


Unveiling ν secrets with cosmological data: Neutrino masses and mass hierarchy
journal, December 2017


The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: signs of neutrino mass in current cosmological data sets
journal, September 2014

  • Beutler, F.; Saito, S.; Brownstein, J. R.
  • Monthly Notices of the Royal Astronomical Society, Vol. 444, Issue 4
  • DOI: 10.1093/mnras/stu1702

Grid based linear neutrino perturbations in cosmological N -body simulations
journal, May 2009


Efficient calculation of cosmological neutrino clustering in the non-linear regime
journal, June 2016


Redshift-space distortions in massive neutrino and evolving dark energy cosmologies
journal, March 2016


An efficient implementation of massive neutrinos in non-linear structure formation simulations
journal, November 2012

  • Ali-Haïmoud, Yacine; Bird, Simeon
  • Monthly Notices of the Royal Astronomical Society, Vol. 428, Issue 4
  • DOI: 10.1093/mnras/sts286

Massive neutrinos in cosmology: Analytic solutions and fluid approximation
journal, June 2010


Cosmic neutrinos: A dispersive and nonlinear fluid
journal, March 2017


Impact of Massive Neutrinos on the Nonlinear Matter Power Spectrum
journal, May 2008


COLA with massive neutrinos
journal, October 2017

  • Wright, Bill S.; Winther, Hans A.; Koyama, Kazuya
  • Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 10
  • DOI: 10.1088/1475-7516/2017/10/054

The effect of neutrinos on the matter distribution as probed by the intergalactic medium
journal, June 2010

  • Viel, Matteo; Haehnelt, Martin G.; Springel, Volker
  • Journal of Cosmology and Astroparticle Physics, Vol. 2010, Issue 06
  • DOI: 10.1088/1475-7516/2010/06/015

Massive neutrinos and the non-linear matter power spectrum: The matter power with neutrinos
journal, January 2012


Resolving cosmic neutrino structure: a hybrid neutrino N -body scheme
journal, January 2010


Cosmology with massive neutrinos I: towards a realistic modeling of the relation between matter, haloes and galaxies
journal, March 2014

  • Villaescusa-Navarro, Francisco; Marulli, Federico; Viel, Matteo
  • Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 03
  • DOI: 10.1088/1475-7516/2014/03/011

Cosmology with massive neutrinos III: the halo mass function and an application to galaxy clusters
journal, December 2013

  • Costanzi, Matteo; Villaescusa-Navarro, Francisco; Viel, Matteo
  • Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 12
  • DOI: 10.1088/1475-7516/2013/12/012

Cosmology with massive neutrinos II: on the universality of the halo mass function and bias
journal, February 2014

  • Castorina, Emanuele; Sefusatti, Emiliano; Sheth, Ravi K.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 02
  • DOI: 10.1088/1475-7516/2014/02/049

DEMNUni: the clustering of large-scale structures in the presence of massive neutrinos
journal, July 2015

  • Castorina, Emanuele; Carbone, Carmelita; Bel, Julien
  • Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 07
  • DOI: 10.1088/1475-7516/2015/07/043

DEMNUni: ISW, Rees-Sciama, and weak-lensing in the presence of massive neutrinos
journal, July 2016

  • Carbone, Carmelita; Petkova, Margarita; Dolag, Klaus
  • Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 07
  • DOI: 10.1088/1475-7516/2016/07/034

Cosmological neutrino simulations at extreme scale
journal, August 2017

  • Emberson, J. D.; Yu, Hao-Ran; Inman, Derek
  • Research in Astronomy and Astrophysics, Vol. 17, Issue 8
  • DOI: 10.1088/1674-4527/17/8/85

The Imprint of Neutrinos on Clustering in Redshift Space
journal, July 2018

  • Villaescusa-Navarro, Francisco; Banerjee, Arka; Dalal, Neal
  • The Astrophysical Journal, Vol. 861, Issue 1
  • DOI: 10.3847/1538-4357/aac6bf

Relativistic N-body simulations with massive neutrinos
journal, November 2017

  • Adamek, Julian; Durrer, Ruth; Kunz, Martin
  • Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 11
  • DOI: 10.1088/1475-7516/2017/11/004

Precision reconstruction of the cold dark matter-neutrino relative velocity from N -body simulations
journal, July 2015


Simulating nonlinear cosmological structure formation with massive neutrinos
journal, November 2016


Perpendicularly Propagating Plasma Cyclotron Instabilities Simulated with a One-Dimensional Computer Model
journal, January 1970


A calculation of the full neutrino phase space in cold + hot dark matter models
journal, July 1994

  • Ma, Chung-Pei; Bertschinger, Edmund
  • The Astrophysical Journal, Vol. 429
  • DOI: 10.1086/174298

HEALPix: A Framework for High‐Resolution Discretization and Fast Analysis of Data Distributed on the Sphere
journal, April 2005

  • Gorski, K. M.; Hivon, E.; Banday, A. J.
  • The Astrophysical Journal, Vol. 622, Issue 2
  • DOI: 10.1086/427976

Biases from neutrino bias: to worry or not to worry?
journal, August 2018

  • Raccanelli, Alvise; Verde, Licia; Villaescusa-Navarro, Francisco
  • Monthly Notices of the Royal Astronomical Society, Vol. 483, Issue 1
  • DOI: 10.1093/mnras/sty2162

The kinematic Sunyaev–Zel’dovich effect of the large-scale structure (I): dependence on neutrino mass
journal, January 2017

  • Roncarelli, M.; Villaescusa-Navarro, F.; Baldi, M.
  • Monthly Notices of the Royal Astronomical Society
  • DOI: 10.1093/mnras/stx170

Initial conditions for accurate N -body simulations of massive neutrino cosmologies
journal, December 2016

  • Zennaro, M.; Bel, J.; Villaescusa-Navarro, F.
  • Monthly Notices of the Royal Astronomical Society, Vol. 466, Issue 3
  • DOI: 10.1093/mnras/stw3340

Voids in massive neutrino cosmologies
journal, November 2015

  • Massara, Elena; Villaescusa-Navarro, Francisco; Viel, Matteo
  • Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 11
  • DOI: 10.1088/1475-7516/2015/11/018

The cosmological simulation code gadget-2
journal, December 2005


The Cosmic Linear Anisotropy Solving System (CLASS). Part II: Approximation schemes
journal, July 2011

  • Blas, Diego; Lesgourgues, Julien; Tram, Thomas
  • Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 07
  • DOI: 10.1088/1475-7516/2011/07/034

The halo model in a massive neutrino cosmology
journal, December 2014

  • Massara, Elena; Villaescusa-Navarro, Francisco; Viel, Matteo
  • Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 12
  • DOI: 10.1088/1475-7516/2014/12/053

Scale-dependent bias and bispectrum in neutrino separate universe simulations
journal, June 2018


Stable clustering, the halo model and non-linear cosmological power spectra
journal, June 2003


Revising the Halofit Model for the Nonlinear Matter Power Spectrum
journal, December 2012

  • Takahashi, Ryuichi; Sato, Masanori; Nishimichi, Takahiro
  • The Astrophysical Journal, Vol. 761, Issue 2
  • DOI: 10.1088/0004-637X/761/2/152

The Mira-Titan Universe. II. Matter Power Spectrum Emulation
journal, September 2017

  • Lawrence, Earl; Heitmann, Katrin; Kwan, Juliana
  • The Astrophysical Journal, Vol. 847, Issue 1
  • DOI: 10.3847/1538-4357/aa86a9

Can we measure the neutrino mass hierarchy in the sky?
journal, May 2010

  • Jimenez, Raul; Kitching, Thomas; Peña-Garay, Carlos
  • Journal of Cosmology and Astroparticle Physics, Vol. 2010, Issue 05
  • DOI: 10.1088/1475-7516/2010/05/035

Tracing the dark matter sheet in phase space: Tracing the dark matter sheet
journal, October 2012


An exact general remeshing scheme applied to physically conservative voxelization
journal, September 2015


Voids in cosmological simulations over cosmic time
journal, March 2016

  • Wojtak, Radosław; Powell, Devon; Abel, Tom
  • Monthly Notices of the Royal Astronomical Society, Vol. 458, Issue 4
  • DOI: 10.1093/mnras/stw615

ColDICE: A parallel Vlasov–Poisson solver using moving adaptive simplicial tessellation
journal, September 2016


An adaptively refined phase–space element method for cosmological simulations and collisionless dynamics
journal, November 2015

  • Hahn, Oliver; Angulo, Raul E.
  • Monthly Notices of the Royal Astronomical Society, Vol. 455, Issue 1
  • DOI: 10.1093/mnras/stv2304

Simplex-in-cell technique for collisionless plasma simulations
journal, January 2016

  • Kates-Harbeck, Julian; Totorica, Samuel; Zrake, Jonathan
  • Journal of Computational Physics, Vol. 304
  • DOI: 10.1016/j.jcp.2015.10.017

Non-linear evolution of the cosmic neutrino background
journal, March 2013

  • Villaescusa-Navarro, Francisco; Bird, Simeon; Peña-Garay, Carlos
  • Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 03
  • DOI: 10.1088/1475-7516/2013/03/019

An exact general remeshing scheme applied to physically conservative voxelization
journal, September 2015


ColDICE: A parallel Vlasov–Poisson solver using moving adaptive simplicial tessellation
journal, September 2016


Perpendicularly Propagating Plasma Cyclotron Instabilities Simulated with a One-Dimensional Computer Model
journal, January 1970


The effect of neutrinos on the matter distribution as probed by the intergalactic medium
journal, June 2010

  • Viel, Matteo; Haehnelt, Martin G.; Springel, Volker
  • Journal of Cosmology and Astroparticle Physics, Vol. 2010, Issue 06
  • DOI: 10.1088/1475-7516/2010/06/015

Relativistic N-body simulations with massive neutrinos
journal, November 2017

  • Adamek, Julian; Durrer, Ruth; Kunz, Martin
  • Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 11
  • DOI: 10.1088/1475-7516/2017/11/004

An efficient implementation of massive neutrinos in non-linear structure formation simulations
journal, November 2012

  • Ali-Haïmoud, Yacine; Bird, Simeon
  • Monthly Notices of the Royal Astronomical Society, Vol. 428, Issue 4
  • DOI: 10.1093/mnras/sts286

The kinematic Sunyaev–Zel’dovich effect of the large-scale structure (I): dependence on neutrino mass
journal, January 2017

  • Roncarelli, M.; Villaescusa-Navarro, F.; Baldi, M.
  • Monthly Notices of the Royal Astronomical Society
  • DOI: 10.1093/mnras/stx170

Biases from neutrino bias: to worry or not to worry?
journal, August 2018

  • Raccanelli, Alvise; Verde, Licia; Villaescusa-Navarro, Francisco
  • Monthly Notices of the Royal Astronomical Society, Vol. 483, Issue 1
  • DOI: 10.1093/mnras/sty2162

Determining the neutrino mass hierarchy with cosmology
journal, December 2009

  • De Bernardis, Francesco; Kitching, Thomas D.; Heavens, Alan
  • Physical Review D, Vol. 80, Issue 12
  • DOI: 10.1103/physrevd.80.123509

Cosmology with massive neutrinos III: the halo mass function and an application to galaxy clusters
text, January 2013


Simplex-in-Cell Technique for Collisionless Plasma Simulations
preprint, January 2015


Voids in cosmological simulations over cosmic time
text, January 2016


Works referencing / citing this record:

A new approach to cosmological structure formation with massive neutrinos
journal, January 2019

  • Fidler, Christian; Kleinjohann, Alexander; Tram, Thomas
  • Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 01
  • DOI: 10.1088/1475-7516/2019/01/025

Cosmology with galaxy–galaxy lensing on non-perturbative scales: emulation method and application to BOSS LOWZ
journal, December 2019

  • Wibking, Benjamin D.; Weinberg, David H.; Salcedo, Andrés N.
  • Monthly Notices of the Royal Astronomical Society, Vol. 492, Issue 2
  • DOI: 10.1093/mnras/stz3423

Measuring dark matter-neutrino relative velocity on cosmological scales
journal, January 2020


Neutrino Mass Ordering from Oscillations and Beyond: 2018 Status and Future Prospects
journal, October 2018

  • de Salas, Pablo F.; Gariazzo, Stefano; Mena, Olga
  • Frontiers in Astronomy and Space Sciences, Vol. 5
  • DOI: 10.3389/fspas.2018.00036