New method of analysing self-avoiding walks in four dimensions
- 1 June 1982
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 15 (6) , L317-L320
- https://doi.org/10.1088/0305-4470/15/6/012
Abstract
A new method based on the concept of fractal dimensionality is used to study the problem of self-avoiding walks in a four-dimensional lattice. The authors find from Monte Carlo simulations that the confluent logarithmic exponent related to the end-to-end distance is 1/8+or-0.01, in excellent agreement with the prediction derived from the n to 0 vector model.Keywords
This publication has 7 references indexed in Scilit:
- Fractal dimensionality of polymer chainsJournal of Physics A: General Physics, 1982
- Monte Carlo renormalization of hard sphere polymer chains in two to five dimensionsZeitschrift für Physik B Condensed Matter, 1981
- Critical behaviour of the four-dimensional n=0 model with a free surfaceJournal of Physics A: General Physics, 1980
- A test of hyperscaling for the spin-1/2Ising model in four dimensionsJournal of Physics A: General Physics, 1980
- Self-avoiding walks on the hyper face-centred cubic lattice in four dimensionsJournal of Physics A: General Physics, 1979
- On the zero-field susceptibility in the d=4, n=0 limit: analysing for confluent logarithmic singularitiesJournal of Physics A: General Physics, 1978
- Star lattice constant expansions for magnetic modelsJournal of Physics A: Mathematical, Nuclear and General, 1974