Analyzer · Sparsifire

Analyze how specific documents activate the features of the SAE. Select a dataset, a run and a document to begin.

Dataset

SAE Model

Document

Active Features

1489

MIN ACTIVATION

0.0

Details List

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#1302 Sensing and Detection Technologies

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Document Content

Short-time growth of a Kardar-Parisi-Zhang interface with flat initial conditions.
The short-time behavior of the (1+1)-dimensional Kardar-Parisi-Zhang (KPZ) growth equation with a flat initial condition is obtained from the exact expressions for the moments of the partition function of a directed polymer with one end point free and the other fixed. From these expressions, the short-time expansions of the lowest cumulants of the KPZ height field are exactly derived. The results for these two classes of cumulants are checked in high-precision lattice numerical simulations. The short-time limit considered here is relevant for the study of the interface growth in the large-diffusivity or weak-noise limit and describes the universal crossover between the Edwards-Wilkinson and the KPZ universality classes for an initially flat interface.

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