Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2007-05-02
Phys.Rev.Lett. 100 (2008) 050601
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 pages, 1 figure
Scientific paper
10.1103/PhysRevLett.100.050601
We consider two configurations of a random directed polymer of length L confined to a plane and ending in two points separated by 2u. Defining the mean free energy $\bar F$ and the free energy difference F' of the two configurations, we determine the joint distribution function P_{L,u}(\bar F,F') using the replica approach. We find that for large L and large negative free energies $\bar F$, the joint distribution function factorizes into longitudinal (P_{L,u} (\bar F)) and transverse (P_{u}(F')) components, which furthermore coincide with results obtained prevously via different independent routes.
Blatter Gianni
Dotsenko Vl. S.
Geshkenbein Vadim B.
Ioffe Lev B.
Korshunov Sergey E.
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