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Numerical estimate of the Kardar-Parisi-Zhang universality class in (2+1) dimensions

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN: 1550-2376, Vol: 92, Issue: 1, Page: 010101
2015
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Article Description

We study the restricted solid on solid model for surface growth in spatial dimension d=2 by means of a multisurface coding technique that allows one to produce a large number of samples in the stationary regime in a reasonable computational time. Thanks to (i) a careful finite-size scaling analysis of the critical exponents and (ii) the accurate estimate of the first three moments of the height fluctuations, we can quantify the wandering exponent with unprecedented precision: χd=2=0.3869(4). This figure is incompatible with the long-standing conjecture due to Kim and Koesterlitz that hypothesized χd=2=2/5.

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