%0 Journal Article
%T Organization of strongly interacting directed polymer liquids in the presence of stringent constraints
%A Anton Souslov
%A D. Zeb Rocklin
%A Paul M. Goldbart
%J Physics
%D 2013
%I arXiv
%R 10.1103/PhysRevLett.111.096401
%X The impact of impenetrable obstacles on the energetics and equilibrium structure of strongly repulsive directed polymers is investigated. As a result of the strong interactions, regions of severe polymer depletion and excess are found in the vicinity of the obstacle, and the associated free-energy cost is found to scale quadratically with the average polymer density. The polymer-polymer interactions are accounted for via a sequence of transformations: from the 3D line liquid to a 2D fluid of Bose particles to a 2D composite fermion fluid and, finally, to a 2D one-component plasma. The results presented here are applicable to a range of systems consisting of noncrossing directed lines.
%U http://arxiv.org/abs/1304.5267v2