The mildly non-linear regime of structure formation

Tassev, Svetlin; Zaldarriaga, Matías

doi:10.1088/1475-7516/2012/04/013

Cited by 65 publications

(115 citation statements)

References 38 publications

(93 reference statements)

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“…This expansion fails to accurately describe multi-streaming regions in high-density objects and cannot accurately capture the dynamic of gravitational evolution of dark matter at scales l 10h −1 Mpc (see e.g. Melott et al 1995;Tassev & Zaldarriaga 2012).…”

Section: The Non-linear Structure Formation Modelmentioning

confidence: 99%

Physical Bayesian modelling of the non-linear matter distribution: New insights into the nearby universe

Jasche

Lavaux

2019

A&A

120

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Accurate analyses of present and next-generation cosmological galaxy surveys require new ways to handle effects of non-linear gravitational structure formation processes in data. To address these needs we present an extension of our previously developed algorithm for Bayesian Origin Reconstruction from Galaxies to analyse matter clustering at non-linear scales in observations. This is achieved by incorporating a numerical particle mesh model of gravitational structure formation into our Bayesian inference framework. The algorithm simultaneously infers the three-dimensional primordial matter fluctuations from which present non-linear observations formed and provides reconstructions of velocity fields and structure formation histories. The physical forward modelling approach automatically accounts for the non-Gaussian features in gravitationally evolved matter density fields and addresses the redshift space distortion problem associated with peculiar motions of observed galaxies. Our algorithm employs a hierarchical Bayes approach to jointly account for various observational effects, such as unknown galaxy biases, selection effects, and observational noise. Corresponding parameters of the data model are marginalized out via a sophisticated Markov Chain Monte Carlo approach relying on a combination of a multiple block sampling framework and an efficient implementation of a Hamiltonian Monte Carlo sampler. We demonstrate the performance of the method by applying it to the 2M++ galaxy compilation, tracing the matter distribution of the Nearby Universe. We show accurate and detailed inferences of the three-dimensional non-linear dark matter distribution of the Nearby Universe. As exemplified in the case of the Coma cluster, our method provides complementary mass estimates that are compatible with those obtained from weak lensing and X-ray observations. For the first time, we also present a reconstruction of the vorticity of the non-linear velocity field from observations. In summary, our method provides plausible and very detailed inferences of the dark matter and velocity fields of our cosmic neighbourhood.

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Section: The Non-linear Structure Formation Modelmentioning

confidence: 99%

Physical Bayesian modelling of the non-linear matter distribution: New insights into the nearby universe

Jasche

Lavaux

2019

A&A

120

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“…In the new reconstruction approach, we solve the nonlinear mapping between the Eulerian coordinate system and the potential isobaric gauge, where the mass per volume element is constant, and define the negative divergence of the estimated displacement as the reconstructed density field. In the nonlinear evolution, there are three sources of nonlinearities: bulk flows, shell crossing and structure formation [29][30][31]. The decay of the propagator for the density field on the mildly nonlinear scales is mainly due to the effects of the bulk motions.…”

Section: Physical Interpretationsmentioning

confidence: 99%

Nonlinear reconstruction

Zhu

Pen

et al. 2017

Phys. Rev. D

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We present a direct approach to nonparametrically reconstruct the linear density field from an observed nonlinear map. We solve for the unique displacement potential consistent with the nonlinear density and positive definite coordinate transformation using a multigrid algorithm. We show that we recover the linear initial conditions up to the nonlinear scale (r δr δ L > 0.5 for k 1 h/Mpc) with minimal computational cost. This reconstruction approach generalizes the linear displacement theory to fully nonlinear fields, potentially substantially expanding the baryon acoustic oscillations and redshift space distortions information content of dense large scale structure surveys, including for example SDSS main sample and 21cm intensity mapping initiatives.

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“…We consider ZA and ED in parallel. Recall that the leading IR behavior in these two cases is identical [13,37]. Let us first discuss the K n vertices.…”

Section: Vertices With Soft Momentamentioning

confidence: 99%

Time-sliced perturbation theory for large scale structure I: general formalism

Blas

Garny

Ivanov

et al. 2016

J. Cosmol. Astropart. Phys.

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We present a new analytic approach to describe large scale structure formation in the mildly non-linear regime. The central object of the method is the time-dependent probability distribution function generating correlators of the cosmological observables at a given moment of time. Expanding the distribution function around the Gaussian weight we formulate a perturbative technique to calculate non-linear corrections to cosmological correlators, similar to the diagrammatic expansion in a three-dimensional Euclidean quantum field theory, with time playing the role of an external parameter. For the physically relevant case of cold dark matter in an Einstein-de Sitter universe, the time evolution of the distribution function can be found exactly and is encapsulated by a time-dependent coupling constant controlling the perturbative expansion. We show that all building blocks of the expansion are free from spurious infrared enhanced contributions that plague the standard cosmological perturbation theory. This paves the way towards the systematic resummation of infrared effects in large scale structure formation. We also argue that the approach proposed here provides a natural framework to account for the influence of short-scale dynamics on larger scales along the lines of effective field theory.

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The mildly non-linear regime of structure formation

Cited by 65 publications

References 38 publications

Physical Bayesian modelling of the non-linear matter distribution: New insights into the nearby universe

Physical Bayesian modelling of the non-linear matter distribution: New insights into the nearby universe

Nonlinear reconstruction

Time-sliced perturbation theory for large scale structure I: general formalism

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