Numerical estimate of the Kardar-Parisi-Zhang universality class in (2+1) dimensions.
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: χ(d=2)=0.3869(4). This figure is incompatible with the long-standing conjecture due to Kim and Koesterlitz that hypothesized χ(d=2)=2/5.
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.
Andrea
A
Pagnani
Dipartimento di Fisica, INFN-Sezione di Roma 1, CNR-IPCF UOS Roma, Università "La Sapienza", P.le Aldo Moro 2, I-00185 Roma, Italy.
Giorgio
G
Parisi