Abstract:Astrophysical techniques have pioneered the discovery of neutrino mass properties. Current cosmological observations give an upper bound on neutrino masses by attempting to disentangle the small neutrino contribution from the sum of all matter using precise theoretical models. We discover the differential neutrino condensation effect in our TianNu N -body simulation. Neutrino masses can be inferred using this effect by comparing galaxy properties in regions of the universe with different neutrino relative abun… Show more
“…The TianNu simulated the cosmic density field with 2:97 Â 10 12 particles in a 1:2h À1 Gpc box which included the effects of massive neutrinos. The base simulation contained 6912 3 CDM particles, and at z ¼ 5 a new set of 13824 3 particles representing M m ¼ 0:05eV neutrinos were added with which subtle differences between CDM and neutrinos were studied (Inman et al 2015;Yu et al 2017a).…”
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 recap the relevant numerical approaches: discretization of the phase-space distribution (focusing on N-body but including alternatives, e.g., Lagrangian submanifold and Schrödinger–Poisson) and the respective techniques for their time evolution and force calculation (direct summation, mesh techniques, and hierarchical tree methods). We pay attention to the creation of initial conditions and the connection with Lagrangian Perturbation Theory. We then discuss the possible alternatives in terms of the micro-physical properties of dark matter (e.g., neutralinos, warm dark matter, QCD axions, Bose–Einstein condensates, and primordial black holes), and extensions to account for multiple fluids (baryons and neutrinos), primordial non-Gaussianity and modified gravity. We continue by discussing challenges involved in achieving highly accurate predictions. A key aspect of cosmological simulations is the connection to cosmological observables, we discuss various techniques in this regard: structure finding, galaxy formation and baryonic modelling, the creation of emulators and light-cones, and the role of machine learning. We finalise with a recount of state-of-the-art large-scale simulations and conclude with an outlook for the next decade.
“…The TianNu simulated the cosmic density field with 2:97 Â 10 12 particles in a 1:2h À1 Gpc box which included the effects of massive neutrinos. The base simulation contained 6912 3 CDM particles, and at z ¼ 5 a new set of 13824 3 particles representing M m ¼ 0:05eV neutrinos were added with which subtle differences between CDM and neutrinos were studied (Inman et al 2015;Yu et al 2017a).…”
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 recap the relevant numerical approaches: discretization of the phase-space distribution (focusing on N-body but including alternatives, e.g., Lagrangian submanifold and Schrödinger–Poisson) and the respective techniques for their time evolution and force calculation (direct summation, mesh techniques, and hierarchical tree methods). We pay attention to the creation of initial conditions and the connection with Lagrangian Perturbation Theory. We then discuss the possible alternatives in terms of the micro-physical properties of dark matter (e.g., neutralinos, warm dark matter, QCD axions, Bose–Einstein condensates, and primordial black holes), and extensions to account for multiple fluids (baryons and neutrinos), primordial non-Gaussianity and modified gravity. We continue by discussing challenges involved in achieving highly accurate predictions. A key aspect of cosmological simulations is the connection to cosmological observables, we discuss various techniques in this regard: structure finding, galaxy formation and baryonic modelling, the creation of emulators and light-cones, and the role of machine learning. We finalise with a recount of state-of-the-art large-scale simulations and conclude with an outlook for the next decade.
“…Due to using fixed-point compression, CUBE has significantly smaller bpp than any other cosmological N -body simulation codes. For example, TianNu [2] simulates 2.97 trillion particles on Tianhe-2. Each Tianhe-2 node holds an average of 576 3 neutrino particles and 288 3 CDM particles, and uses 40GB memory.…”
Section: Performance Resultsmentioning
confidence: 99%
“…Another example is the study of neutrino mass using cosmological effects. To model small but nonlinear cosmic neutrino background, we need a large N to suppress the Poisson noise (e.g., [2]). These problems need a dynamical range of 4 to 5 orders of magnitude, corresponding to, at least, 10 12 (trillion) particle N -body simulations.…”
Section: Problem Overviewmentioning
confidence: 99%
“…However, achieving the largest N with the PM-based algorithms is typically bound by memory capacity, instead of computing capacity. For example, TianNu [2], one of the world's largest N -body simulations, used the P 3 M algorithm [3] to complete an N 3 × 10 12 cosmological N -body simulation on the Tianhe-2 supercomputer. The simulation used all the memory of Tianhe-2, but only 30% of its computing resource 1 .…”
“…Specifically, we adopt a pair of high-resolution N-body simulations (i.e., TianZero with Σm ν = 0 eV and TianNu with Σm ν = 0.05 eV [65]) realized using publicly-available code, CUBEP3M [66], for resolving the subtle neutrino effects between neutrinos and CDM, especially on non-linear scale [67,68]. CUBEP3M here is optimized using hybrid-…”
In this work, we propose a powerful probe of neutrino effects on the large-scale structure (LSS) of the Universe, i.e., Minkowski functionals (MFs). The morphology of LSS can be fully described by four MFs. This tool, with strong statistical power, is robust to various systematics and can comprehensively probe all orders of N-point statistics. By using a pair of high-resolution N-body simulations, for the first time, we comprehensively studied the subtle neutrino effects on the morphology of LSS. For an ideal LSS survey of volume ∼ 1.73 Gpc 3 /h 3 , neutrino signals are mainly detected from void regions with a significant level up to ∼ 10σ and ∼ 300σ for CDM and total matter density fields, respectively. This demonstrates its enormous potential for much improving the neutrino mass constraint in the data analysis of up-coming ambitious LSS surveys.
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