The one-dimensional KPZ equation and its universality class
arXiv:1503.06185 · doi:10.1007/s10955-015-1250-9
Abstract
Our understanding of the one-dimensional KPZ equation, \textit{alias} noisy Burgers equation, has advanced substantially over the past five years. We provide a non-technical review, where we limit ourselves to the stochastic PDE and lattice type models approximating it.
24 pages, 2 figures
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Cited by in corpus (8)
- Height distribution tails in the Kardar-Parisi-Zhang equation with Brownian initial conditions
- Reflected Brownian motions in the KPZ universality class
- KPZ equation with short-range correlated noise: emergent symmetries and non-universal observables
- Large fluctuations of a Kardar-Parisi-Zhang interface on a half-line: the height statistics at a shifted point
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