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Directed polymers with tilted columnar disorder and Burgers-like turbulence

Roya Mohayaee·Attilio L. Stella·Carlo Vanderzande
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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.

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Roya Mohayaee, Attilio L. Stella, Carlo Vanderzande. 2001-09-11. Directed polymers with tilted columnar disorder and Burgers-like turbulence. https://doi.org/10.1103/physrevlett.87.085701

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