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arXiv · 0908.2096

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

Tomohiro Sasamoto·Herbert Spohn
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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.

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Tomohiro Sasamoto, Herbert Spohn. 2009-08-14. Superdiffusivity of the 1D lattice Kardar-Parisi-Zhang equation. https://doi.org/10.1007/s10955-009-9831-0

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