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Self-avoiding walks, neighbour-avoiding walks and trails on semiregular lattices

I Jensen and A J Guttmann

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We study self-avoiding and neighbour-avoiding walks and lattice trails on two semiregular lattices, the lattice and the lattice. For the lattice we find the exact connective constant for both self-avoiding walks, neighbour-avoiding walks and trails. For the lattice we generate long series which permit the accurate estimation of the connective constant for self-avoiding walks and trails.


PACS

05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion

05.50.+q Lattice theory and statistics (Ising, Potts, etc.)

02.30.Lt Sequences, series, and summability

MSC

06Bxx Lattices (See also 03G10)

60K40 Other physical applications of random processes

Subjects

Mathematical physics

Statistical physics and nonlinear systems

Dates

Issue 40 (9 October 1998)

Received 22 May 1998



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