Extremely largescale simulation of a KardarParisiZhang model using graphics cards
Extremely largescale simulation of a KardarParisiZhang model using graphics cards
Kelling, J.; Ódor, G.
The octahedron model introduced recently has been implemented onto graphics cards, which permits extremely largescale simulations via binary lattice gases and bitcoded algorithms. We confirm scaling behavior belonging to the twodimensional KardarParisiZhang universality class and find a surface growth exponent: β=0.2415(15) on 2^{17}×2^{17} systems, ruling out β=1/4 suggested by field theory. The maximum speedup with respect to a single CPU is 240. The steady state has been analyzed by finitesize scaling and a growth exponent α=0.393(4) is found. Correctiontoscalingexponent are computed and the powerspectrum density of the steady state is determined. We calculate the universal scaling functions and cumulants and show that the limit distribution can be obtained by the sizes considered. We provide numerical fitting for the small and large tail behavior of the steadystate scaling function of the interface width.
Keywords: 05.70.Ln; 05.70.Np; 82.20.Wt

Physical Review E 84(2011)6, 061150
DOI: 10.1103/PhysRevE.84.061150
Cited 72 times in Scopus 
Contribution to WWW
http://arxiv.org/abs/1110.6745 
Physical Review E 85(2012), 019902(E)
DOI: 10.1103/PhysRevE.85.019902
Cited 1 times in Scopus
Permalink: https://www.hzdr.de/publications/Publ16482
Publ.Id: 16482