Extremely large-scale simulation of a Kardar-Parisi-Zhang model using graphics cards

Jefrrey Kelling, Géza Ódor

Research output: Contribution to journalArticle

56 Citations (Scopus)

Abstract

The octahedron model introduced recently has been implemented onto graphics cards, which permits extremely large-scale simulations via binary lattice gases and bit-coded algorithms. We confirm scaling behavior belonging to the two-dimensional Kardar-Parisi-Zhang universality class and find a surface growth exponent: β 0.2415(15) on 217× 217 systems, ruling out α=1/4 suggested by field theory. The maximum speedup with respect to a single CPU is 240. The steady state has been analyzed by finite-size scaling and a growth exponent α =0.393(4) is found. Correction-to-scaling-exponent are computed and the power-spectrum 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 steady-state scaling function of the interface width.

Original languageEnglish
Article number061150
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume84
Issue number6
DOIs
Publication statusPublished - Dec 28 2011

Fingerprint

cards
Scaling Function
scaling
Exponent
Surface Growth
Octahedron
Corrections to Scaling
exponents
Tail Behavior
Universal Function
Simulation
simulation
Lattice Gas
Scaling Exponent
Cumulants
Limit Distribution
Finite-size Scaling
Scaling Behavior
Power Spectrum
Field Theory

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability

Cite this

Extremely large-scale simulation of a Kardar-Parisi-Zhang model using graphics cards. / Kelling, Jefrrey; Ódor, Géza.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 84, No. 6, 061150, 28.12.2011.

Research output: Contribution to journalArticle

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