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arXiv · 1611.08445

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

Andrea Pagnani·Giorgio Parisi
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Abstract

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

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Andrea Pagnani, Giorgio Parisi. 2016-11-25. Numerical estimate of the Kardar Parisi Zhang universality class in (2 + 1) dimensions. https://doi.org/10.1103/physreve.92.010101

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