Inverted initial conditions: exploring the growth of cosmic structure and voids

Abstract

We introduce and explore "paired" cosmological simulations. A pair consists of an A and B simulation with initial conditions related by the inversion ${\delta }_A(x,t_{initial})=-{\delta }_B(x,t_{initial})$ (underdensities substituted for overdensities and vice versa). We argue that the technique is valuable for improving our understanding of cosmic structure formation. The A and B fields are by definition equally likely draws from ΛCDM initial conditions, and in the linear regime evolve identically up to the overall sign. As non-linear evolution takes hold, a region that collapses to form a halo in simulation A will tend to expand to create a void in simulation B. Applications include (i) contrasting the growth of A-halos and B-voids to test excursion-set theories of structure formation; (ii) cross-correlating the density field of the A and B universes as a novel test for perturbation theory; and (iii) canceling error terms by averaging power spectra between the two boxes. Generalizations of the method to more elaborate field transformations are suggested.

10 pages (including appendix), 6 figures. To be submitted to PRD

References in corpus (11)

• The Effective Field Theory of Cosmological Large Scale Structures
• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• The Excursion Set Theory of Halo Mass Functions, Halo Clustering, and Halo Growth
• A critical look at cosmological perturbation theory techniques
• Multi-Point Propagators in Cosmological Gravitational Instability
• Minimally Parametric Power Spectrum Reconstruction from the Lyman-alpha Forest
• Separate Universe Simulations
• Lagrangian perturbation theory at one loop order: successes, failures, and improvements
• Genetically modified halos: towards controlled experiments in $\Lambda$CDM galaxy formation
• Perturbation theory approach for the power spectrum: from dark matter in real space to massive haloes in redshift space
• The life and death of cosmic voids

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