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

Andrea Pagnani and Giorgio Parisi
Phys. Rev. E 92, 010101(R) – Published 2 July 2015

Abstract

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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  • Received 8 June 2015

DOI:https://doi.org/10.1103/PhysRevE.92.010101

©2015 American Physical Society

Authors & Affiliations

Andrea Pagnani

  • Department of Applied Science and Technology (DISAT), Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129 Torino, Italy and Human Genetics Foundation (HuGeF), Via Nizza 52, I-10126, Turin, Italy

Giorgio Parisi

  • Dipartimento di Fisica, INFN–Sezione di Roma 1, CNR-IPCF UOS Roma, Università “La Sapienza”, P.le Aldo Moro 2, I-00185 Roma, Italy

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Vol. 92, Iss. 1 — July 2015

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