A Monte Carlo study of meanders

Jun, 1999
12 pages
Published in:
  • Eur.Phys.J.B 14 (2000) 145
e-Print:

Citations per year

19992001200320052005210
Abstract: (arXiv)
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
Note:
  • Submitted to Eur.Phys.J.