Monte Carlo Methods for the Self-Avoiding Walk
Abstract
<jats:title>Abstract</jats:title> <jats:p>The self-avoiding walk (SAW) was first proposed nearly half a century ago as a model of a linear polymer molecule in a good solvent. At first glance it seems to be a ridiculously crude model, almost a caricature: real polymer molecules live in continuous space and have tetrahedral (109.47°) bond angles, a non-trivial energy surface for the bond rotation angles, and a rather complicated monomer-monomer interaction potential. By contrast, the self-avoiding walk lives on a discrete lattice and has non-tetrahedral bond angles (e.g., 90° and 180° on the simple cubic lattice), an energy independent of the bond rotation angles, and a repulsive hard-core monomer-monomer potential.</jats:p>
Journal
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- Monte Carlo and Molecular Dynamics Simulations in Polymer Science
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Monte Carlo and Molecular Dynamics Simulations in Polymer Science 47-124, 1995-08-03
Oxford University PressNew York, NY