KPZ equation in one dimension and line ensembles

Details KPZ equation in one dimension and line ensembles KPZ equation in one dimension and line ensembles

2005-04-22

arxiv.org/abs/cond-mat/0504589v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

Proceedings STATPHYS22, Bangalore, 2004

Scientific paper

10.1007/BF02704147

For suitably discretized versions of the Kardar-Parisi-Zhang equation in one
space dimension exact scaling functions are available, amongst them the
stationary two-point function. We explain one central piece from the technology
through which such results are obtained, namely the method of line ensembles
with purely entropic repulsion.

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