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@ARTICLE{Schtz:841825,
author = {Schütz, G. M. and Wehefritz–Kaufmann, B.},
title = {{K}ardar-{P}arisi-{Z}hang modes in d -dimensional directed
polymers},
journal = {Physical review / E},
volume = {96},
number = {3},
issn = {2470-0045},
address = {Woodbury, NY},
publisher = {Inst.},
reportid = {FZJ-2018-00126},
pages = {032119},
year = {2017},
abstract = {We define a stochastic lattice model for a fluctuating
directed polymer in d≥2 dimensions. This model can be
alternatively interpreted as a fluctuating random path in
two dimensions, or a one-dimensional asymmetric simple
exclusion process with d−1 conserved species of particles.
The deterministic large dynamics of the directed polymer are
shown to be given by a system of coupled Kardar-Parisi-Zhang
(KPZ) equations and diffusion equations. Using nonlinear
fluctuating hydrodynamics and mode coupling theory we argue
that stationary fluctuations in any dimension d can only be
of KPZ type or diffusive. The modes are pure in the sense
that there are only subleading couplings to other modes,
thus excluding the occurrence of modified KPZ-fluctuations
or Lévy-type fluctuations, which are common for more than
one conservation law. The mode-coupling matrices are shown
to satisfy the so-called trilinear condition.},
cin = {ICS-2},
ddc = {530},
cid = {I:(DE-Juel1)ICS-2-20110106},
pnm = {551 - Functional Macromolecules and Complexes (POF3-551)},
pid = {G:(DE-HGF)POF3-551},
typ = {PUB:(DE-HGF)16},
pubmed = {pmid:29346934},
UT = {WOS:000410593600003},
doi = {10.1103/PhysRevE.96.032119},
url = {https://juser.fz-juelich.de/record/841825},
}