Branch Mathematics and Statistics Faculty and Staff Publications
Document Type
Preprint
Publication Date
Fall 10-3-2017
Abstract
Some years ago, Hidding et al. suggest that the emergence of intricate and pervasive weblike structure of the Universe on Megaparsec scales can be approximated by a well-known equation from fluid mechanics, the Burgers’ equation. The solution to this equation can be obtained from a geometrical formalism. The resulting Adhesion formalism provides deep insight into the dynamics and topology of the Cosmic Web. It uncovers a direct connection between the conditions in the very early Universe and the complex spatial patterns that emerged out of these under the influence of gravity. In the present paper, we describe a cellular automaton model of the Burgers’ equation, which can be investigated via a fast computer simulation. In the end, this suggests a Cellular Automata Adhesion Model of the Universe.
Language (ISO)
English
Keywords
discrete physics, Cosmology, Large Scale Structure of the Universe, Numerical Methods, Cellular Automata, Burgers equation, Zeldovich approximation
Recommended Citation
Christianto, Victor and Florentin Smarandache. "From Zeldovich Approximation to Burgers’ equation: A Plausible Route to Cellular Automata Adhesion Universe." (2017). https://digitalrepository.unm.edu/math_fsp/650
