Unveiling the singular dynamics in the cosmic large-scale structure

Abstract

It is known that the gravitational collapse of cold dark matter leads to infinite-density caustics that seed the primordial dark-matter halos in the large-scale structure. The development of these caustics begins, generically, as an almost one-dimensional phenomenon with the formation of pancakes. Focusing on the one-dimensional case, we identify a landscape of non-differentiable, and thus, singular features in the particle acceleration that emerge after the first crossing of particle trajectories. We complement our fully analytical studies by high-resolution simulations and find outstanding agreement, particularly shortly after the first crossing. We develop the methods in one space dimension but outline briefly the necessary steps for the 3D case.

v3: 5+6 pages with 8 figures (v2 was 5+5 pages with 7 figures), published at MNRAS Letters

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Cited by in corpus (20)

• Large-scale dark matter simulations
• Accurate initial conditions for cosmological N-body simulations: Minimizing truncation and discreteness errors
• Cosmological perturbations for two cold fluids in $\Lambda$CDM
• Shell-crossing in a $\Lambda$CDM Universe
• Cosmological Vlasov-Poisson equations for dark matter: Recent developments and connections to selected plasma problems
• Eye of the Tyger: early-time resonances and singularities in the inviscid Burgers equation
• Cold dark matter protohalo structure around collapse: Lagrangian cosmological perturbation theory versus Vlasov simulations
• Analytical growth functions for cosmic structures in a $\Lambda$CDM Universe
• BullFrog: Multi-step perturbation theory as a time integrator for cosmological simulations
• Renormalization group and UV completion of cosmological perturbations: Gravitational collapse as a critical phenomenon
• On general-relativistic Lagrangian perturbation theory and its non-perturbative generalization
• Perturbation-theory informed integrators for cosmological simulations
• The gravitational force field of proto-pancakes
• Fast and accurate collapse-time predictions for collisionless matter
• Testing the assumptions of the Effective Field Theory of Large-Scale Structure
• Dark matter halo dynamics in 2D Vlasov Simulations: a self-similar approach
• Nonperturbative collapse models for collisionless self-gravitating flows
• (1+1)-Dimensional Schrödinger-Poisson equation with contact interaction
• Lagrangian Perturbation Theory for Biased Tracers: Significance of the Number Conservation
• Post-collapse Lagrangian perturbation theory in three dimensions