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- W2035020354 abstract "We generated and enumerated all compact self-avoiding walks on the square and the cubic lattice within simple geometries. In two dimensions on the square lattice the self-avoiding walks are restricted to rectangles of size m × n, and in three dimensions on the cubic lattice the compact self-avoiding walks are restricted to parallelpipeds of size l × m × n. The enumerations are performed for all possible combinations of l,m,n. The enumerations were performed for walks (chains) up to 60 steps (bonds) in 2D, and up to 40 steps in 3D. We have reduced the number of possible conformations by eliminating conformations related by symmetries. In several cases we obtain interesting recursion relations between the number of conformations and the size of the rectangle (or parallelepiped). The calculations are performed both for walks (Hamiltonian paths) with two ends and for cyclic walks (chains), the so-called Hamiltonian circuits." @default.
- W2035020354 created "2016-06-24" @default.
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- W2035020354 date "1997-01-01" @default.
- W2035020354 modified "2023-10-10" @default.
- W2035020354 title "Computer generation and enumeration of compact self-avoiding walks within simple geometries on lattices" @default.
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- W2035020354 doi "https://doi.org/10.1016/s1089-3156(97)00022-6" @default.
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