Stochastic fractal by deterministic algorithm: Introducing the Möbius fractal

Tomchuk, Oleksandr V.

doi:10.1063/5.0063292

Cited by 1 publication

(1 citation statement)

References 11 publications

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“…Möbius Fractal As noted, the deterministic fractal aggregation algorithm is based on an exact repetition of the shape at different scales, while when using the stochastic fractal, the scaling ratios are observed only "on average". The proposed algorithm for constructing a fractal object, called the Möbius fractal, is essentially on the verge between regular and non-regular fractals [146]. This model is an example of a stochastic fractal built according to a deterministic protocol without randomization steps.…”

Section: Fractal Chainsmentioning

confidence: 99%

Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension

Tomchuk

2023

Fractal Fract

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This review article delves into the growing recognition of fractal structures in mesoscale phenomena. The article highlights the significance of realistic fractal-like aggregate models and efficient modeling codes for comparing data from diverse experimental findings and computational techniques. Specifically, the article discusses the current state of fractal aggregate modeling, with a focus on particle clusters that possess adjustable fractal dimensions (Df). The study emphasizes the suitability of different models for various Df–intervals, taking into account factors such as particle size, fractal prefactor, the polydispersity of structural units, and interaction potential. Through an analysis of existing models, this review aims to identify key similarities and differences and offer insights into future developments in colloidal science and related fields.

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Section: Fractal Chainsmentioning

confidence: 99%

Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension

Tomchuk

2023

Fractal Fract

View full text Add to dashboard Cite

show abstract

Stochastic fractal by deterministic algorithm: Introducing the Möbius fractal

Cited by 1 publication

References 11 publications

Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension

Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension

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