A numerical study on the dimension of an extremely inhomogeneous matter distribution
Cecilia B. M. H. Chirenti
TL;DR
This paper introduces a numerical algorithm to compute the fractal dimension of highly inhomogeneous matter distributions, revealing how the dimension approaches 3 with larger sample sizes, aiding understanding of cosmic matter structures.
Contribution
The paper presents a novel numerical method for determining the dimension of inhomogeneous matter distributions using a hierarchical metric, advancing analysis of cosmic structures.
Findings
Dimension approaches 3 as sample size increases
Algorithm effectively computes fractal dimension
Provides insights into matter distribution inhomogeneity
Abstract
We have developed an algorithm that numericaly computes the dimension of an extremely inhomogeous matter distribution, given by a discrete hierarchical metric. With our results it is possible to analise how the dimension of the matter density tends to d = 3, as we consider larger samples.
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Taxonomy
TopicsStochastic processes and statistical mechanics · Stochastic processes and financial applications · Markov Chains and Monte Carlo Methods