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

(14 Aug 2009)

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1d kpz

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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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