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Optimized Lagrangian Approximations for Modelling Large--Scale Structure at Non--Linear Stages
T. Buchert, A. L. Melott, A. G. Weiss
Approximations to the exact solutions for gravitational instability in the expanding Universe are extremely useful for understanding the evolution of large--scale structure. We rep…
Evolution of the Potential in Cosmological Gravitational Clustering
Adrian L. Melott, Jennifer L. Pauls
In recent years there has been a developing realization that the interesting large--scale structure of voids, ``pancakes", and filaments in the Universe is a consequence of the eff…
Hierarchical Pancaking: Why the Zel'dovich Approximation Describes Coherent Large-Scale Structure in N-Body Simulations of Gravitational Clustering
Jennifer L. Pauls, Adrian L. Melott
To explain the rich structure of voids, clusters, sheets, and filaments apparent in the Universe, we present evidence for the convergence of the two classic approaches to gravitati…
On the Shape of the First Collapsed Objects
S. F. Shandarin, A. L. Melott, K. McDavitt +2
Since the early seventies, there was a conjecture that the first collapse of a selfgravitating dust--like medium (appropriate approximation for nonbaryonic dark matter) results in…
Optimized Lagrangian Approximations for Modelling Large--Scale Structure at Non--Linear Stages
T. Buchert, A. L. Melott, A. G. Weiss
We report on a series of tests of Newtonian Lagrangian perturbation schemes using N--body simulations for various power--spectra with scale--independent indices in the range t…
Biased Power Spectrum and Bispectrum for an Ensemble of Three-Dimensional Scale Free Numerical Simulations
J. N. Fry, Adrian L. Melott, Sergei F. Shandarin
We examine the effect of a threshold bias on the power spectrum and the bispectrum in an ensemble of numerical simulations (Gaussian initial perturbations with power law spectra P(…