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 -