Abstract
We consider two configurations of a random directed polymer of length confined to a plane and ending in two points separated by . Defining the mean free-energy and the free-energy difference of the two configurations, we determine the joint distribution function using the replica approach. We find that for large and large negative free energies , the joint distribution function factorizes into longitudinal [] and transverse [] components, which furthermore coincide with results obtained previously via different independent routes.
- Received 25 April 2007
DOI:https://doi.org/10.1103/PhysRevLett.100.050601
©2008 American Physical Society