Directed polymers with tilted columnar disorder and Burgers-like turbulence

Details Directed polymers with tilted columnar disorder and Burgers-like turbulence Directed polymers with tilted columnar disorder and Burgers-like turbulence

2001-01-08

arxiv.org/abs/cond-mat/0101091v3

Phys. Rev. Lett. 87, 085701 (2001)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures ; replaced with final version as appeared in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.87.085701

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.

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