Journal article
Three-dimensional terminally attached self-avoiding walks and bridges
N Clisby, AR Conway, AJ Guttmann
Journal of Physics A Mathematical and Theoretical | Published : 2016
Abstract
We study terminally attached self-avoiding walks (SAWs) and bridges on the simple cubic lattice, both by series analysis and Monte Carlo methods. We provide strong numerical evidence supporting a scaling relation between SAWs, bridges, and terminally attached SAWs, and posit that a corresponding amplitude ratio is a universal quantity.
Grants
Awarded by Australian Research Council
Funding Acknowledgements
NC wishes to thank the Australian Research Council for supporting this work under the Future Fellowship scheme (project number FT130100972). AJG wishes to thank the Australian Research Council for supporting this work through grant DP120100931.