Directed polymers with tilted columnar disorder and Burgers-like turbulence
Statistical Mechanics
2009-11-07 v3 Astrophysics
Chaotic Dynamics
Abstract
The minimal energy variations of a directed polymer with tilted columnar disorder in two dimensions are shown numerically to obey a multiscaling at short distances which crosses over to global simple scaling at large distances. The scenario is analogous to that of structure functions in bifractal Burgers' turbulence. Some scaling properties are predicted from extreme value statistics. The multiscaling disappears for zero tilt.
Keywords
Cite
@article{arxiv.cond-mat/0101091,
title = {Directed polymers with tilted columnar disorder and Burgers-like turbulence},
author = {Roya Mohayaee and Attilio L. Stella and Carlo Vanderzande},
journal= {arXiv preprint arXiv:cond-mat/0101091},
year = {2009}
}
Comments
4 pages, 3 figures ; replaced with final version as appeared in Phys. Rev. Lett