Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1999-06-22
Eur. Phys. J. B 14, 145-155 (2000)
Physics
Condensed Matter
Statistical Mechanics
12 pages, revtex, 11 eps figures
Scientific paper
10.1007/s100510050115
We study the statistics of meanders, i.e. configurations of a road crossing a river through "n" bridges, and possibly winding around the source, as a toy model for compact folding of polymers. We introduce a Monte-Carlo method which allows us to simulate large meanders up to n = 400. By performing large "n" extrapolations, we give asymptotic estimates of the connectivity per bridge R = 3.5018(3), the configuration exponent gamma = 2.056(10), the winding exponent nu = 0.518(2) and other quantities describing the shape of meanders. Keywords : folding, meanders, Monte-Carlo, tree
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