We assess the dependence on substrate dimensionality of the asymptotic scaling behavior of a whole family of equations that feature the basic symmetries of the Kardar-Parisi-Zhang (KPZ) equation. Even for cases in which, as expected from universality arguments, these models display KPZ values for the critical exponents and limit distributions, their behavior deviates from KPZ scaling for increasing system dimensions. Such a fragility of KPZ universality contradicts naive expectations, and questions straightforward application of universality principles for the continuum description of experimental systems.
Keywords: kinetic growth processes (theory), self-affine roughness (theory), kinetic roughening (theory)
Journal of Statistical Mechanics: Theory and Experiment. Volume: 2013 Issue: 11 Pages: P11001.1-P11001.11
JCR Impact Factor and WoS quartile: 2.056 - Q1 (2013); 2.371 - Q1 (2018)
DOI reference: 10.1088/1742-5468/2013/11/P11001
Published on paper: November 2013.
M. Nicoli, R. Cuerno, M. Castro. Dimensional fragility of the Kardar-Parisi-Zhang universality class. Journal of Statistical Mechanics: Theory and Experiment. vol. 2013, no. 11, pp. P11001.1-P11001.11, November 2013.