Flow phenomena in rocks: from continuum models to fractals, percolation, cellular automata, and simulated annealing

M Sahimi - Reviews of modern physics, 1993 - APS
In this paper, theoretical and experimental approaches to flow, hydrodynamic dispersion,
and miscible and immiscible displacement processes in reservoir rocks are reviewed and …

Scaling, universality, and renormalization: Three pillars of modern critical phenomena

HE Stanley - Reviews of modern physics, 1999 - APS
This brief overview is designed to introduce some of the advances that have occurred in our
understanding of phase transitions and critical phenomena. The presentation is organized …

[BOOK][B] Fractal concepts in surface growth

AL Barabási, HE Stanley - 1995 - books.google.com
The use of fractal concepts in understanding various growth phenomena, such as molecular
beam epitaxy (MBE) or fluid flow in porous media, is increasingly important these days. This …

Formation of fractal clusters and networks by irreversible diffusion-limited aggregation

P Meakin - Physical Review Letters, 1983 - APS
A model for diffusion-controlled aggregation in which growing clusters as well as individual
particles are mobile has been investigated. Two versions of the model in which the cluster …

Fractal geometry of colloidal aggregates

DW Schaefer, JE Martin, P Wiltzius, DS Cannell - Physical Review Letters, 1984 - APS
Measurement of the fractal dimension, D, of colloidal aggregates of small silica particles is
reported. We observe power-law decay of the structure factor [S (k)∼ k− D] by both light and …

Generalized models for bond percolation transitions of associative polymers

JM Choi, AA Hyman, RV Pappu - Physical Review E, 2020 - APS
Polymers with stickers-and-spacers architectures can drive phase-separation-aided bond
percolation transitions. Here, we present a generalized mean-field model to enable the …

Fractal geometry of silica condensation polymers

DW Schaefer, KD Keefer - Physical review letters, 1984 - APS
Fractal Geometry of Silica Condensation Polymers Page 1 VOLUME 53, NUMBER 14
PHYSICAL REVIEW LETTERS 1 OcTQBER 1984 Fractal Geometry of Silica Condensation …

Viscoelasticity near the sol-gel transition

JE Martin, D Adolf, JP Wilcoxon - Physical Review A, 1989 - APS
Measurements of viscoelastic properties near the sol-gel transition demonstrate that
viscoelastic phenomena are described by power laws. To describe these phenomena, we …

Critical dynamics of the sol-gel transition

JE Martin, JP Wilcoxon - Physical review letters, 1988 - APS
The dynamics of the sol-gel transition is probed by use of quasielastic light scattering. A type
of critical dynamics is observed that is associated with a divergent friction, rather than a …

Coagulation equations with gelation

EM Hendriks, MH Ernst, RM Ziff - Journal of Statistical Physics, 1983 - Springer
Smoluchowski's equation for rapid coagulation is used to describe the kinetics of gelation, in
which the coagulation kernel K ij models the bonding mechanism. For different classes of …