Exact enumeration of self-avoiding walks
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Publication date
2011
Authors
Schram, R.D.
Barkema, Gerard T.
Bisseling, Rob h.
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Document Type
Article
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Abstract
A prototypical problem on which techniques for exact enumeration are tested and compared is the enumeration of self-avoiding walks. Here, we show an advance in the methodology of enumeration, making the process thousands or millions of times faster. This allowed us to enumerate self-avoiding walks on the simple cubic lattice up to a length of 36 steps.
Keywords
loop models and polymers, critical exponents and amplitudes(theory), exact results, Taverne
Citation
Schram, R D, Barkema, G T & Bisseling, R H 2011, 'Exact enumeration of self-avoiding walks', Journal of Statistical Mechanics: Theory and Experiment, vol. 2011, 06019. https://doi.org/10.1088/1742-5468/2011/06/P06019