Evolution of one-point distributions from Gaussian initial fluctuations

@article{Kofman1994EvolutionOO,
  title={Evolution of one-point distributions from Gaussian initial fluctuations},
  author={Lev Kofman and Edmund Bertschinger and James M. Gelb and Adi Nusser and Avishai Dekel},
  journal={The Astrophysical Journal},
  year={1994},
  volume={420},
  pages={44-57}
}
We study the quasilinear evolution of the one-point probability density functions (PDFs) of the smoothed density and velocity fields in a cosmological gravitating system beginning with Gaussian initial fluctuations. Our analytic results are based on the Zel'dovich approximation and laminar flow. A numerical analysis extends the results into the multistreaming regime using the smoothed fields of a CDM N-body simulation. We find that the PDF of velocity, both Lagrangian and Eulerian, remains… 
Evolution of the cosmological density distribution function
ABSTRA C T We present a new calculation for the evolution of the one-point probability distribution function (PDF) of the cosmological density field based on an exact statistical treatment. Using the
Non-Gaussianity of one-point distribution functions in extended Lagrangian perturbation theory
We study the one-point probability distribution functions (PDFs) of the peculiar velocity and the density fluctuation in a cosmological fluid. Within the perturbative approach to the structure
The Cosmological Density Distribution Function from the Local Collapse Model
We present a general framework to treat the evolution of one-point probability distribution functions (PDFs) for cosmic density δ and velocity divergence fields θ. In particular, we derive an
Probability Distribution Function of Cosmological Density Fluctuations from a Gaussian Initial Condition: Comparison of One-Point and Two-Point Lognormal Model Predictions with N-Body Simulations
We quantitatively study the probability distribution function (PDF) of cosmological nonlinear density fluctuations from N-body simulations with a Gaussian initial condition. In particular, we examine
Two is better than one: joint statistics of density and velocity in concentric spheres as a cosmological probe
The analytical formalism to obtain the probability distribution functions (PDFs) of spherically-averaged cosmic densities and velocity divergences in the mildly non-linear regime is presented. A
Density field in extended Lagrangian perturbation theory
We analyze the performance of a perturbation theory for nonlinear cosmological dynamics, based on the Lagrangian description of hydrodynamics. In our previous paper, we solved the hydrodynamic
On the Probability Density Function of Galactic Gas. I. Numerical Simulations and the Significance of the Polytropic Index
We investigate the form of the one-point probability density function (pdf) for the density field of the interstellar medium using numerical simulations that successively reduce the number of
The Formation of Stellar Clusters: Gaussian Cloud Conditions. I.
The isothermal dynamical evolution of a clumpy molecular cloud region and its fragmentation into a protostellar cluster is investigated numerically. The initial density distributions are generated
Kurtosis of cosmological density and velocity fields
We discuss the non-linear growth of the induced-by-gravity kurtosis of the density and velocity fields, smoothed with a Gaussian filter. To do this, we take advantage of the exact perturbative
Gravitational Evolution of the Large-Scale Probability Density Distribution: The Edgeworth and Gamma Expansions
The gravitational evolution of the cosmic one-point probability distribution function (PDF) has been estimated using an analytic approximation that combines gravitational perturbation theory with the
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 21 REFERENCES
Particle Physics and Inflationary Cosmology
With the invention of unified theories of strong, weak, electromagnetic and gravitational interactions, elementaryparticle physics has entered a very interesting and unusual stage of its development.
Large-scale structure in the Universe
A variety of observations constrain models of the origin of large-scale cosmic structures. Enough observational data have accumulated to constrain (and perhaps determine) the power spectrum of
Particle Physics and Cosmology
This book is an introduction to particle physics and cosmology. It discusses the interaction of these two fundamental branches of physics, and considers recent advances beyond the standard models.
ApJ
  • ApJ
  • 1992
Ap.J
  • Ap.J
  • 1993
Proc. of the 2nd DAEC Meeting
  • Proc. of the 2nd DAEC Meeting
  • 1992
ApJ
  • ApJ
  • 1991
Computers in Physics Mar/Apr
  • Nature
  • 1991
N.R.A.S
  • N.R.A.S
  • 1991
N.R.A.S
  • N.R.A.S
  • 1991
...
1
2
3
...