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Regular version of the site

Article

Universal and non-universal tails of distribution functions in the directed polymer and Kardar-Parisi-Zhang problem.

Physical Review B: Condensed Matter and Materials Physics. 2008. Vol. 78. P. 024206-1-024206-16.
Kolokolov I., Korshunov S.
The optimal-fluctuation approach is applied to study the most distant nonuniversal tails of the free-energy distribution function PLF for an elastic string of a large but finite length L interacting with a quenched random potential. A further modification of this approach is proposed which takes into account the renormalization effects and allows one to study the closest universal parts of the tails. The problem is analyzed for different dimensions of a space in which the polymer is imbedded. In terms of the stochastic growth problem, the same distribution function describes the distribution of heights in the regime of a nonstationary growth in the situation when an interface starts to grow from a flat configuration.