Kinetics of Formation of Randomly Branched Aggregates: A Renormalization-Group Approach
- 28 February 1983
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 50 (9), 686-689
- https://doi.org/10.1103/physrevlett.50.686
Abstract
The first renormalization-group approach for irreversible growth models of randomly branched aggregates is presented. The main result is that the Witten-Sander diffusionlimited aggregation model, a discrete version of a dendritic growth model, is in a different universality class than "equilibrium" lattice animals. Also calculated is the fractal dimension for the Witten-Sander model and the Eden model (a model developed for the study of biological structures).Keywords
This publication has 13 references indexed in Scilit:
- Diffusion-controlled cluster formation in two, three, and four dimensionsPhysical Review A, 1983
- Self-similarity and a phase-transition-like behavior of a random growing structure governed by a nonequilibrium parameterPhysical Review A, 1982
- Intermittency Exponent in Fractally Homogeneous TurbulencePhysical Review Letters, 1982
- New Universality Class for Kinetic GelationPhysical Review Letters, 1982
- Percolation, Droplet Models, and Spinodal PointsPhysical Review Letters, 1981
- Diffusion-Limited Aggregation, a Kinetic Critical PhenomenonPhysical Review Letters, 1981
- Radius, perimeter, and density profile for percolation clusters and lattice animalsZeitschrift für Physik B Condensed Matter, 1979
- Mathematical models in oncology: a bird's-eye viewZeitschrift für Krebsforschung und Klinische Onkologie, 1978
- Cluster shapes at the percolation threshold: and effective cluster dimensionality and its connection with critical-point exponentsJournal of Physics A: General Physics, 1977
- Stochastic Model for Abnormal Clone Spread through Epithelial Basal LayerNature, 1972