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arXiv · hep-th/9607039

Meanders: A Direct Enumeration Approach

P. Di Francesco·O. Golinelli·E. Guitter
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Abstract

We study the statistics of semi-meanders, i.e. configurations of a set of roads crossing a river through n bridges, and possibly winding around its source, as a toy model for compact folding of polymers. By analyzing the results of a direct enumeration up to n=29, we perform on the one hand a large n extrapolation and on the other hand we reformulate the available data into a large q expansion, where q is a weight attached to each road. We predict a transition at q=2 between a low-q regime with irrelevant winding, and a large-q regime with relevant winding.

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P. Di Francesco, O. Golinelli, E. Guitter. 1996-07-04. Meanders: A Direct Enumeration Approach. https://doi.org/10.1016/s0550-3213(96)00505-6

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