On the existence of critical exponents for self-avoiding walks
arXiv:2207.08433 · doi:10.1088/1751-8121/ac943a
Abstract
We describe some ideas of John Hammersley for proving the existence of critical exponents for two-dimensional self-avoiding walks and provide numerical evidence for their correctness.
arXiv comment19 pages, 5 figures
References in corpus (8)
- Accurate estimate of the critical exponent for self-avoiding walks via a fast implementation of the pivot algorithm
- Logarithmic correction for the susceptibility of the 4-dimensional weakly self-avoiding walk: a renormalisation group analysis
- Self-avoiding walk is sub-ballistic
- Scale-free Monte Carlo method for calculating the critical exponent of self-avoiding walks
- On the growth constant for square-lattice self-avoiding walks
- Finite-order correlation length for 4-dimensional weakly self-avoiding walk and spins
- Square lattice self-avoiding walks and biased differential approximants
- New scaling laws for self-avoiding walks: bridges and worms