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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1979 Apr;76(4):1529–1531. doi: 10.1073/pnas.76.4.1529

Self-avoiding random walks on lattice strips

Frederick T Wall 1,*, Douglas J Klein 1
PMCID: PMC383421  PMID: 16592634

Abstract

A self-avoiding walk on an infinitely long lattice strip of finite width will asymptotically exhibit an end-to-end separation proportional to the number of steps. A proof of this proposition is presented together with comments concerning an earlier attempt to deal with the matter. In addition, some unproved, yet “obvious,” conjectures concerning self-avoiding walks are cited as basic propositions requiring study.

Keywords: macromolecular dimensions, excluded volume

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