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Cosmology in one dimension: A two-component model

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  • Shiozawa, Yui
  • Miller, Bruce N.

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.

Suggested Citation

  • Shiozawa, Yui & Miller, Bruce N., 2016. "Cosmology in one dimension: A two-component model," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 86-91.
    • Handle: RePEc:eee:chsofr:v:91:y:2016:i:c:p:86-91
    DOI: 10.1016/j.chaos.2016.05.008
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    References listed on IDEAS

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    1. R. Brent Tully & Hélène Courtois & Yehuda Hoffman & Daniel Pomarède, 2014. "The Laniakea supercluster of galaxies," Nature, Nature, vol. 513(7516), pages 71-73, September.
    2. Volker Springel & Simon D. M. White & Adrian Jenkins & Carlos S. Frenk & Naoki Yoshida & Liang Gao & Julio Navarro & Robert Thacker & Darren Croton & John Helly & John A. Peacock & Shaun Cole & Peter , 2005. "Simulations of the formation, evolution and clustering of galaxies and quasars," Nature, Nature, vol. 435(7042), pages 629-636, June.
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