Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension
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. Sp...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-12-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/7/12/866 |
| _version_ | 1797380954338099200 |
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| author | Oleksandr Tomchuk |
| author_facet | Oleksandr Tomchuk |
| author_sort | Oleksandr Tomchuk |
| collection | DOAJ |
| description | 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 (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>D</mi></mrow><mrow><mi>f</mi></mrow></msub></mrow></semantics></math></inline-formula>). The study emphasizes the suitability of different models for various <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>D</mi></mrow><mrow><mi>f</mi></mrow></msub></mrow></semantics></math></inline-formula>–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. |
| first_indexed | 2024-03-08T20:45:22Z |
| format | Article |
| id | doaj.art-0cfc9e431f8f44afa222c4b9a4067e19 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-08T20:45:22Z |
| publishDate | 2023-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-0cfc9e431f8f44afa222c4b9a4067e192023-12-22T14:10:01ZengMDPI AGFractal and Fractional2504-31102023-12-0171286610.3390/fractalfract7120866Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal DimensionOleksandr Tomchuk0ISIS Neutron and Muon Source, Rutherford Appleton Laboratory, Harwell Oxford, Didcot OX11 0QX, UKThis 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 (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>D</mi></mrow><mrow><mi>f</mi></mrow></msub></mrow></semantics></math></inline-formula>). The study emphasizes the suitability of different models for various <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>D</mi></mrow><mrow><mi>f</mi></mrow></msub></mrow></semantics></math></inline-formula>–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.https://www.mdpi.com/2504-3110/7/12/866fractal dimensionparticle clustersimulationgeneration algorithmMonte Carlopopulation balance equations |
| spellingShingle | Oleksandr Tomchuk Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension Fractal and Fractional fractal dimension particle cluster simulation generation algorithm Monte Carlo population balance equations |
| title | Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension |
| title_full | Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension |
| title_fullStr | Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension |
| title_full_unstemmed | Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension |
| title_short | Models for Simulation of Fractal-like Particle Clusters with Prescribed Fractal Dimension |
| title_sort | models for simulation of fractal like particle clusters with prescribed fractal dimension |
| topic | fractal dimension particle cluster simulation generation algorithm Monte Carlo population balance equations |
| url | https://www.mdpi.com/2504-3110/7/12/866 |
| work_keys_str_mv | AT oleksandrtomchuk modelsforsimulationoffractallikeparticleclusterswithprescribedfractaldimension |