Superdiffusivity of the 1D Lattice Kardar-Parisi-Zhang Equation |
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| Authors: | Tomohiro Sasamoto Herbert Spohn |
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| Institution: | 1. Zentrum Mathematik, TU München, 85747, Garching, Germany
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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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