Diffusion-limited growth of polymer chains
- 1 July 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 34 (1) , 723-725
- https://doi.org/10.1103/physreva.34.723
Abstract
A new self-avoiding walk (SAW) which grows without terminating is introduced as a model of the diffusion-limited growth of linear polymers. The model is in a different universality class than the equilibrium SAW and previously considered kinetic SAW’s with ν=0.774±0.006 in two dimensions and ν=0.56±0.02 in three dimensions. The ‘‘indefinitely growing SAW’’ is shown to emerge as a particular limit of our model.Keywords
This publication has 22 references indexed in Scilit:
- Monte Carlo series analysis of irreversible self-avoiding walks. I. The indefinitely-growing self-avoiding walk (IGSAW)Journal of Physics A: General Physics, 1985
- A new kinetic walk and percolation perimetersPhysical Review B, 1985
- Indefinitely Growing Self-Avoiding WalkPhysical Review Letters, 1985
- The growing self avoiding walkJournal of Physics A: General Physics, 1984
- An average self-avoiding random walk on the square lattice lasts 71 stepsThe Journal of Chemical Physics, 1984
- Kinetic Growth Walk: A New Model for Linear PolymersPhysical Review Letters, 1984
- Correction-to-scaling exponents and amplitudes for the correlation length of linear polymers in two dimensionsJournal of Physics A: General Physics, 1983
- Diffusion-limited aggregationPhysical Review B, 1983
- Asymptotic behavior of the "true" self-avoiding walkPhysical Review B, 1983
- Diffusion-Limited Aggregation, a Kinetic Critical PhenomenonPhysical Review Letters, 1981