Superdiffusivity of the 1D lattice Kardar-Parisi-Zhang equation
Mathematical Physics
2015-05-13 v1 Statistical Mechanics
math.MP
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.
Keywords
Cite
@article{arxiv.0908.2096,
title = {Superdiffusivity of the 1D lattice Kardar-Parisi-Zhang equation},
author = {Tomohiro Sasamoto and Herbert Spohn},
journal= {arXiv preprint arXiv:0908.2096},
year = {2015}
}
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21 pages