Self-Avoiding Walks on the Tetrahedral Lattice

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Abstract
Self-avoiding walks on the tetrahedral lattice were studied. By extending the excluded-volume condition to incorporate first nonbonded nearest neighbors one obtains a value of the polymer index γ to be 1.255. This is in agreement with the direct enumeration studies of Mazur and Joseph and is interpreted in terms of the intrinsic excluded volume and excess excluded volume. It is suggested that all real systems may have to be studied in their own right to obtain their molecular-weight configurational dependence.

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