On the Cosmological Mass Function

Monaco, Pierluigi

doi:10.1007/978-94-009-0053-0_10

Cited by 3 publications

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References 200 publications

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“…Press and Schechter fixed this problem by introducing a "fudge factor" of 2, but with the excursion sets approach [59][60][61] a very nice and elegant justification was found. A basic treatment can be found in the Mo, van den Bosch and White textbook, while reviews of the mass function and excursion sets theory have been written by Monaco [62] and by Zentner [63]. This approach explicitly deals with the fact that predictions are based on a field that is smoothed on an arbitrary scale R, and that predictions at different smoothing scales can be in contradiction; this has been dubbed the cloud-in-cloud problem.…”

Section: Press and Schechter And Its Extensionsmentioning

confidence: 99%

Approximate Methods for the Generation of Dark Matter Halo Catalogs in the Age of Precision Cosmology

Monaco

2016

Galaxies

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Precision cosmology has recently triggered new attention on the topic of approximate methods for the clustering of matter on large scales, whose foundations date back to the period from the late 1960s to early 1990s. Indeed, although the prospect of reaching sub-percent accuracy in the measurement of clustering poses a challenge even to full N-body simulations, an accurate estimation of the covariance matrix of clustering statistics, not to mention the sampling of parameter space, requires usage of a large number (hundreds in the most favourable cases) of simulated (mock) galaxy catalogs. Combination of few N-body simulations with a large number of realizations performed with approximate methods gives the most promising approach to solve these problems with a reasonable amount of resources. In this paper I review this topic, starting from the foundations of the methods, then going through the pioneering efforts of the 1990s, and finally presenting the latest extensions and a few codes that are now being used in present-generation surveys and thoroughly tested to assess their performance in the context of future surveys.

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Section: Press and Schechter And Its Extensionsmentioning

confidence: 99%

Approximate Methods for the Generation of Dark Matter Halo Catalogs in the Age of Precision Cosmology

Monaco

2016

Galaxies

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On the Cosmological Mass Function

Monaco

1997

Generation of Cosmological Large-Scale Structure

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This thesis aims to review the cosmological mass function problem, both from the theoretical and the observational point of view, and to present a new mass function theory, based on realistic approximations for the dynamics of gravitational collapse. Chapter 1 gives a general introduction on gravitational dynamics in cosmological models. Chapter 2 gives a complete review of the mass function theory. Chapters 3 and 4 present the "dynamical" mass function theory, based on truncated Lagrangian dynamics and on the excursion set approach. Chapter 5 reviews the observational state-of-the-art and the main applications of the mass function theories described before. Finally, Chapter 6 gives conclusions and future prospects.

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Eelectromagnetic field distribution of whispering gallery mode in a sapphire resonator

Fan¹,

Yang²,

Ruan³

2022

Acta Phys. Sin.

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When the electromagnetic field in the sapphire resonator corresponds to the whispering gallery mode, it exhibits an extremely low dielectric loss. As result, sapphire oscillator has the characteristics of ultra-low phase noise and high short-term frequency stability. The distribution of electromagnetic field in the sapphire resonator is very important for realizing high-level oscillator. In this work, the radial-axial mode matching method is used to theoretically analyze the distribution of the field mode in the sapphire resonator, and the resonant frequency of the WGHm,0,0 mode is calculated. The field distribution of the sapphire resonator is simulated by the finite element analysis method. The gallery mode number of the sapphire resonator is studied and the electromagnetic field intensity distribution of the WGH15,0,0 mode in the azimuthal, axial and radial direction are obtained. Finally, a home-made gallery mode analyzer is used to measure the microwave field on the surface of sapphire resonator, which is composed of a three-dimensional rotating stage , the magnetic ring/probe coupling and a vector network analyzer. With the above theoretical analysis, the finite element analysis method and the experimental measurement, the working mode of the sapphire resonator and the resonant frequency of the WGHm,0,0 mode are determined. When the sapphire resonator works in WGH15,0,0 mode, the resonant frequency is 9.891 GHz, and the parameters of the whispering gallery mode in the resonator are obtained, and the unloaded Q value of the resonator is 94000. When the temperature is 292 K, the frequency-temperature sensitivity of the sapphire resonator working in the WGHm,0,0 whispering gallery mode is about 71.64 ppm. The microwave oscillator consisting of the high Q sapphire resonator can be used to make an oscillator with ultra-low phase noise and high frequency stability.

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On the Cosmological Mass Function

Cited by 3 publications

References 200 publications

Approximate Methods for the Generation of Dark Matter Halo Catalogs in the Age of Precision Cosmology

Approximate Methods for the Generation of Dark Matter Halo Catalogs in the Age of Precision Cosmology

On the Cosmological Mass Function

Eelectromagnetic field distribution of whispering gallery mode in a sapphire resonator

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