Fiber deposition models in two and three spatial dimensions

N. Provatas; M. Haataja; J. Asikainen; S. Majaniemi; M. Alava; T. Ala-Nissila

doi:10.1016/S0927-7757(99)00417-3

Fiber deposition models in two and three spatial dimensions

N. Provatas, M. Haataja, J. Asikainen, S. Majaniemi, M. Alava, T. Ala-Nissila

Research output: Contribution to journal › Article › peer-review

56 Scopus citations

Abstract

We review growth, percolation, and spatial correlations in deposition models of disordered fiber networks. We first consider 2D models with effective interactions between the deposited particles represented by simple parametrization. In particular, we discuss the case of single cluster growth, growth of uniformly random networks, and flocculated networks with nontrivial spatial correlations. We also consider a 3D deposition model of flexible fibers that describes the growth of multilayer structures of disordered networks. We discuss the statistical properties of such structures, transport of fluid through the network, and the asymptotics of growth in the limit of infinite thickness.

Original language	English (US)
Pages (from-to)	209-229
Number of pages	21
Journal	Colloids and Surfaces A: Physicochemical and Engineering Aspects
Volume	165
Issue number	1-3
DOIs	https://doi.org/10.1016/S0927-7757(99)00417-3
State	Published - May 30 2000
Externally published	Yes

All Science Journal Classification (ASJC) codes

Surfaces and Interfaces
Physical and Theoretical Chemistry
Colloid and Surface Chemistry

Keywords

Continuum percolation
Deposition models
Fiber networks
Paper structure
Spatial correlations

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10.1016/S0927-7757(99)00417-3

Cite this

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title = "Fiber deposition models in two and three spatial dimensions",

abstract = "We review growth, percolation, and spatial correlations in deposition models of disordered fiber networks. We first consider 2D models with effective interactions between the deposited particles represented by simple parametrization. In particular, we discuss the case of single cluster growth, growth of uniformly random networks, and flocculated networks with nontrivial spatial correlations. We also consider a 3D deposition model of flexible fibers that describes the growth of multilayer structures of disordered networks. We discuss the statistical properties of such structures, transport of fluid through the network, and the asymptotics of growth in the limit of infinite thickness.",

keywords = "Continuum percolation, Deposition models, Fiber networks, Paper structure, Spatial correlations",

author = "N. Provatas and M. Haataja and J. Asikainen and S. Majaniemi and M. Alava and T. Ala-Nissila",

note = "Funding Information: We wish to thank E. Hell{\'e}n, A. Koponen, J. Krug, R.M. Nieminen, K. Niskanen, V. R{\"a}is{\"a}nen, E. Sepp{\"a}l{\"a}, J. Timonen, J. Vinnurva, J. {\AA}str{\"o}m for fruitful collaboration, and the Academy of Finland MATRA program for financial support.",

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doi = "10.1016/S0927-7757(99)00417-3",

language = "English (US)",

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pages = "209--229",

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TY - JOUR

T1 - Fiber deposition models in two and three spatial dimensions

AU - Provatas, N.

AU - Haataja, M.

AU - Asikainen, J.

AU - Majaniemi, S.

AU - Alava, M.

AU - Ala-Nissila, T.

N1 - Funding Information: We wish to thank E. Hellén, A. Koponen, J. Krug, R.M. Nieminen, K. Niskanen, V. Räisänen, E. Seppälä, J. Timonen, J. Vinnurva, J. Åström for fruitful collaboration, and the Academy of Finland MATRA program for financial support.

PY - 2000/5/30

Y1 - 2000/5/30

N2 - We review growth, percolation, and spatial correlations in deposition models of disordered fiber networks. We first consider 2D models with effective interactions between the deposited particles represented by simple parametrization. In particular, we discuss the case of single cluster growth, growth of uniformly random networks, and flocculated networks with nontrivial spatial correlations. We also consider a 3D deposition model of flexible fibers that describes the growth of multilayer structures of disordered networks. We discuss the statistical properties of such structures, transport of fluid through the network, and the asymptotics of growth in the limit of infinite thickness.

AB - We review growth, percolation, and spatial correlations in deposition models of disordered fiber networks. We first consider 2D models with effective interactions between the deposited particles represented by simple parametrization. In particular, we discuss the case of single cluster growth, growth of uniformly random networks, and flocculated networks with nontrivial spatial correlations. We also consider a 3D deposition model of flexible fibers that describes the growth of multilayer structures of disordered networks. We discuss the statistical properties of such structures, transport of fluid through the network, and the asymptotics of growth in the limit of infinite thickness.

KW - Continuum percolation

KW - Deposition models

KW - Fiber networks

KW - Paper structure

KW - Spatial correlations

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U2 - 10.1016/S0927-7757(99)00417-3

DO - 10.1016/S0927-7757(99)00417-3

M3 - Article

AN - SCOPUS:0033963667

SN - 0927-7757

VL - 165

SP - 209

EP - 229

JO - Colloids and Surfaces A: Physicochemical and Engineering Aspects

JF - Colloids and Surfaces A: Physicochemical and Engineering Aspects

IS - 1-3

ER -

Fiber deposition models in two and three spatial dimensions

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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