A fast particle-mesh simulation of non-linear cosmological structure formation with massive neutrinos
Abstract
Quasi-N-body simulations, such as FastPM, provide a fast way to simulate cosmological structure formation, but have yet to adequately include the effects of massive neutrinos. In this work, we present a method to include neutrino particles in FastPM, enabling computation of the CDM and total matter power spectra to percent-level accuracy in the non-linear regime. The CDM-neutrino cross-power can also be computed at a sufficient accuracy to constrain cosmological observables. To avoid the shot noise that typically plagues neutrino particle simulations, we employ a quasi-random algorithm to sample the relevant Fermi-Dirac distribution when setting the initial neutrino thermal velocities. We additionally develop an effective distribution function to describe a set of non-degenerate neutrinos as a single particle to speed up non-degenerate simulations. The simulation is accurate for the full range of physical interest, Mν ≲ 0.6eV, and applicable to redshifts z ≲ 2. Such accuracy can be achieved by initializing particles with the two-fluid approximation transfer functions (using the REPS package). Convergence can be reached in ~ 25 steps, with a starting redshift of z=99. Probing progressively smaller scales only requires an increase in the number of CDM particles being simulated, while the number of neutrino particles can remain fixedmore »
- Authors:
-
- Univ. of California, Berkeley, CA (United States). Berkeley Center for Cosmological Physics; Univ. of California, Berkeley, CA (United States)
- Stanford Univ., CA (United States). Kavli Inst. for Particle Astrophysics and Cosmology; Stanford Univ., CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Publication Date:
- Research Org.:
- SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1778955
- Grant/Contract Number:
- AC02-76SF00515
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Cosmology and Astroparticle Physics
- Additional Journal Information:
- Journal Volume: 2021; Journal Issue: 01; Journal ID: ISSN 1475-7516
- Publisher:
- Institute of Physics (IOP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; cosmological simulations; cosmological neutrinos; neutrino masses from cosmology; power spectrum
Citation Formats
Bayer, Adrian E., Banerjee, Arka, and Feng, Yu. A fast particle-mesh simulation of non-linear cosmological structure formation with massive neutrinos. United States: N. p., 2021.
Web. doi:10.1088/1475-7516/2021/01/016.
Bayer, Adrian E., Banerjee, Arka, & Feng, Yu. A fast particle-mesh simulation of non-linear cosmological structure formation with massive neutrinos. United States. https://doi.org/10.1088/1475-7516/2021/01/016
Bayer, Adrian E., Banerjee, Arka, and Feng, Yu. Tue .
"A fast particle-mesh simulation of non-linear cosmological structure formation with massive neutrinos". United States. https://doi.org/10.1088/1475-7516/2021/01/016. https://www.osti.gov/servlets/purl/1778955.
@article{osti_1778955,
title = {A fast particle-mesh simulation of non-linear cosmological structure formation with massive neutrinos},
author = {Bayer, Adrian E. and Banerjee, Arka and Feng, Yu},
abstractNote = {Quasi-N-body simulations, such as FastPM, provide a fast way to simulate cosmological structure formation, but have yet to adequately include the effects of massive neutrinos. In this work, we present a method to include neutrino particles in FastPM, enabling computation of the CDM and total matter power spectra to percent-level accuracy in the non-linear regime. The CDM-neutrino cross-power can also be computed at a sufficient accuracy to constrain cosmological observables. To avoid the shot noise that typically plagues neutrino particle simulations, we employ a quasi-random algorithm to sample the relevant Fermi-Dirac distribution when setting the initial neutrino thermal velocities. We additionally develop an effective distribution function to describe a set of non-degenerate neutrinos as a single particle to speed up non-degenerate simulations. The simulation is accurate for the full range of physical interest, Mν ≲ 0.6eV, and applicable to redshifts z ≲ 2. Such accuracy can be achieved by initializing particles with the two-fluid approximation transfer functions (using the REPS package). Convergence can be reached in ~ 25 steps, with a starting redshift of z=99. Probing progressively smaller scales only requires an increase in the number of CDM particles being simulated, while the number of neutrino particles can remain fixed at a value less than or similar to the number of CDM particles. In turn, the percentage increase in runtime-per-step due to neutrino particles is between ~ 5-20% for runs with 10243 CDM particles, and decreases as the number of CDM particles is increased. The code has been made publicly available, providing an invaluable resource to produce fast predictions for cosmological surveys and studying reconstruction.},
doi = {10.1088/1475-7516/2021/01/016},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 01,
volume = 2021,
place = {United States},
year = {Tue Jan 12 00:00:00 EST 2021},
month = {Tue Jan 12 00:00:00 EST 2021}
}
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Cosmological Reconstruction From Galaxy Light: Neural Network Based Light-Matter Connection
text, January 2018
- Modi, Chirag; Feng, Yu; Seljak, Uros
- arXiv
Cosmology with galaxy-galaxy lensing on non-perturbative scales: Emulation method and application to BOSS LOWZ
text, January 2019
- Wibking, Benjamin D.; Weinberg, David H.; Salcedo, Andrés N.
- arXiv
Cosmological constraints in extended parameter space from the Planck 2018 Legacy release
text, January 2019
- Di Valentino, Eleonora; Melchiorri, Alessandro; Silk, Joseph
- arXiv
Super-resolution emulator of cosmological simulations using deep physical models
text, January 2020
- Ramanah, Doogesh Kodi; Charnock, Tom; Villaescusa-Navarro, Francisco
- arXiv
What will it take to measure individual neutrino mass states using cosmology?
preprint, January 2020
- Archidiacono, Maria; Hannestad, Steen; Lesgourgues, Julien
- arXiv
Euclid preparation: II. The EuclidEmulator – a tool to compute the cosmology dependence of the nonlinear matter power spectrum
text, January 2019
- Knabenhans, Mischa; Stadel, Joachim; Marelli, Stefano
- Oxford University Press