Cosmology in one dimension: A two-component model

Yui Shiozawa and Bruce N. Miller

Chaos, Solitons & Fractals, 2016, vol. 91, issue C, 86-91

Abstract: We investigate structure formation in a one dimensional model of a matter-dominated universe using a quasi-Newtonian formulation. In addition to dissipation-free dark matter, dissipative luminous matter is introduced to examine the potential bias in the distributions. We use multifractal analysis techniques to identify scale-dependent structures, including clusters and voids. Both dark matter and luminous matter exhibit multifractal geometry over a finite range as the universe evolves in time. We present the results for the generalized dimensions computed on various scales for each matter distribution which clearly supports the bottom-up structure formation scenario. We compare and contrast the multifractal dimensions of two types of matter for the first time and show how dynamical considerations cause them to differ.

Keywords: Cosmology; Large-scale structure; Multifractal; Generalized dimension; One-dimensional; Dark matter (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:91:y:2016:i:c:p:86-91

DOI: 10.1016/j.chaos.2016.05.008

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