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arXiv · 1010.2691

The 1+1-dimensional Kardar-Parisi-Zhang equation and its universality class

Tomohiro Sasamoto·Herbert Spohn
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Abstract

We explain the exact solution of the 1+1 dimensional Kardar-Parisi-Zhang equation with sharp wedge initial conditions. Thereby it is confirmed that the continuum model belongs to the KPZ universality class, not only as regards to scaling exponents but also as regards to the full probability distribution of the height in the long time limit.

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Tomohiro Sasamoto, Herbert Spohn. 2011-02-01. The 1+1-dimensional Kardar-Parisi-Zhang equation and its universality class. https://doi.org/10.1088/1742-5468%2F2010%2F11%2Fp11013

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