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

被引：8

作者：

Tomchuk, Oleksandr ^{[1
,2
]}

机构：

[1] Harwell Oxford, Rutherford Appleton Lab, ISIS Neutron & Muon Source, Didcot OX11 0QX, England

[2] Polish Acad Sci, Henryk Niewodniczanski Inst Nucl Phys, PL-31342 Krakow, Poland

来源：

FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 12期

关键词：

fractal dimension; particle cluster; simulation; generation algorithm; Monte Carlo; population balance equations; Langevin dynamics; diffusion limited aggregation; reaction limited aggregation; DIFFUSION-LIMITED AGGREGATION; SMALL-ANGLE SCATTERING; DYNAMIC LIGHT-SCATTERING; BROWNIAN DYNAMICS; DETONATION NANODIAMOND; NONINTEGER DIMENSIONS; GENERATION; AEROSOL; GROWTH; AGGLOMERATION;

D O I：

10.3390/fractalfract7120866

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：25

共 50 条

[21] A growth model for the generation of particle aggregates with tunable fractal dimension [J].

Guesnet, E. ;

Dendievel, R. ;

Jauffres, D. ;

Martin, C. L. ;

Yrieix, B. .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 513 :63-73

[22] Structure and dynamics of fractal-like particles made by agglomeration and sintering [J].

Eggersdorfer, Maximilian L. ;

Goudeli, Eirini .

AICHE JOURNAL, 2020, 66 (12)

[23] Accessing the fractal dimension of free clusters in supersonic beams [J].

Mazza, T. ;

Devetta, M. ;

Milani, P. ;

Bongiorno, G. ;

Coreno, M. ;

Piseri, P. .

NEW JOURNAL OF PHYSICS, 2011, 13

[24] Multiparticle Sintering Dynamics: From Fractal-Like Aggregates to Compact Structures [J].

Eggersdorfer, Max L. ;

Kadau, Dirk ;

Herrmann, Hans J. ;

Pratsinis, Sotiris E. .

LANGMUIR, 2011, 27 (10) :6358-6367

[25] A NEW BIVARIATE TEMOM METHOD FOR THE FRACTAL-LIKE AGGLOMERATE BROWNIAN COAGULATION [J].

Li, Xujuan ;

Yu, Mingzhou ;

Xu, Peng ;

Shi, Xiaolei ;

Lu, Zhiming .

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2025, 33 (03)

[26] Friction Coefficient and Mobility Radius of Fractal-Like Aggregates in the Transition Regime [J].

Melas, Anastasios D. ;

Isella, Lorenzo ;

Konstandopoulos, Athanasios G. ;

Drossinos, Yannis .

AEROSOL SCIENCE AND TECHNOLOGY, 2014, 48 (12) :1320-1331

[27] The distribution of stresses in rigid fractal-like aggregates in a uniform flow field [J].

Gastaldi, Andrea ;

Vanni, Marco .

JOURNAL OF COLLOID AND INTERFACE SCIENCE, 2011, 357 (01) :18-30

[28] A Method for Calculating Fractal Dimension of Amicrons and Fractal Simulation of Boundary Micro-Topography [J].

LI Jinping GAI Guosheng ZHENG Zhoushun HAO Xiangyang YANG Yufen Department of Materials Science and Engineering Tsinghua University Beijing China School of Mathematical Science and Computing Technology Central South University Changsha Hunan China .

Journal of China University of Mining & Technology(English Edition), 2006, (02) :193-195+199

[29] Control of silver-polymer aggregation mechanism by primary particle spatial correlations in dynamic fractal-like geometry [J].

Campi, Gaetano ;

Mari, Alessandra ;

Pifferi, Augusto ;

Amenitsch, Heinz ;

Fratini, Michela ;

Suber, Lorenza .

NANOSCALE, 2011, 3 (09) :3774-3779

[30] Fractal dimension, particle shape, and particle breakage analysis for calcareous sand [J].

Li, Xue ;

Liu, Jiankun ;

Li, Jinze .

BULLETIN OF ENGINEERING GEOLOGY AND THE ENVIRONMENT, 2022, 81 (03)

← 1 2 3 4 5 →