Local scale-invariance of the 2 + 1 dimensional Kardar-Parisi-Zhang model

Jeffrey Kelling, G. Ódor, Sibylle Gemming

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Local scale-invariance theory is tested by extensive dynamical simulations of the driven dimer lattice gas model, describing the surface growth of the 2 + 1 dimensional Kardar-Parisi-Zhang surfaces. Very precise measurements of the universal autoresponse function enabled us to perform nonlinear fitting with the scaling forms, suggested by local scale-invariance (LSI). While the simple LSI ansatz does not seem to work, forms based on logarithmic extension of LSI provide satisfactory description of the full (measured) time evolution of the autoresponse function.

Original languageEnglish
Article number12LT01
JournalJournal of Physics A: Mathematical and Theoretical
Volume50
Issue number12
DOIs
Publication statusPublished - Feb 20 2017

Fingerprint

Scale Invariance
Invariance
invariance
Surface Growth
Universal Function
Lattice Gas Model
Dimer
Model
Dimers
Logarithmic
dimers
Scaling
scaling
Gases
gases
Simulation
simulation
Form

Keywords

  • autoresonse
  • GPGPU
  • Kardar-Parisi-Zhang
  • local scale-invariance

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

Cite this

Local scale-invariance of the 2 + 1 dimensional Kardar-Parisi-Zhang model. / Kelling, Jeffrey; Ódor, G.; Gemming, Sibylle.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 50, No. 12, 12LT01, 20.02.2017.

Research output: Contribution to journalArticle

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