Distribution function of the endpoint fluctuations of one-dimensional directed polymers in a random potential
arXiv:1209.6166 · doi:10.1088/1742-5468/2013/02/P02012
Abstract
The explicit expression for the the probability distribution function of the endpoint fluctuations of one-dimensional directed polymers in random potential is derived in terms of the Bethe ansatz replica technique by mapping the replicated problem to the N-particle quantum boson system with attractive interactions.
15 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:1209.3603