Superdiffusivity of the 1D lattice Kardar-Parisi-Zhang equation

Details Superdiffusivity of the 1D lattice Kardar-Parisi-Zhang equation Superdiffusivity of the 1D lattice Kardar-Parisi-Zhang equation

2009-08-14

arxiv.org/abs/0908.2096v1

Physics

Mathematical Physics

21 pages

Scientific paper

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.

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