TY  - JOUR
AU  - Schütz, G. M.
AU  - Wehefritz–Kaufmann, B.
TI  - Kardar-Parisi-Zhang modes in d -dimensional directed polymers
JO  - Physical review / E
VL  - 96
IS  - 3
SN  - 2470-0045
CY  - Woodbury, NY
PB  - Inst.
M1  - FZJ-2018-00126
SP  - 032119
PY  - 2017
AB  - 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.
LB  - PUB:(DE-HGF)16
C6  - pmid:29346934
UR  - <Go to ISI:>//WOS:000410593600003
DO  - DOI:10.1103/PhysRevE.96.032119
UR  - https://juser.fz-juelich.de/record/841825
ER  -