The trail problem on the square lattice
- 1 August 1976
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 9 (8) , 1283-1291
- https://doi.org/10.1088/0305-4470/9/8/018
Abstract
The trail problem on the square lattice is studied by the method of exact enumeration and its relation to the self-avoiding walk problem is pointed out. The number of N-stepped trails and their mean-square sizes are enumerated on a computer up to N=17. An asymptotic analysis of the numerical data suggests that certain critical exponents obey the same values for both the trail and the self-avoiding walk problem on the square lattice.Keywords
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