Superdiffusivity of the 1D lattice Kardar-Parisi-Zhang equation
arXiv:0908.2096 · doi:10.1007/s10955-009-9831-0
Abstract
The continuum Kardar-Parisi-Zhang equation in one dimension is lattice discretized in such a way that the drift part is divergence free. This allows to determine explicitly the stationary measures. We map the lattice KPZ equation to a bosonic field theory which has a cubic anti-hermitian nonlinearity. Thereby it is established that the stationary two-point function spreads superdiffusively.
21 pages