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 language | English |
|---|---|
| Article number | 12LT01 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 50 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - Feb 20 2017 |
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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 journal › Article
}
TY - JOUR
T1 - Local scale-invariance of the 2 + 1 dimensional Kardar-Parisi-Zhang model
AU - Kelling, Jeffrey
AU - Ódor, G.
AU - Gemming, Sibylle
PY - 2017/2/20
Y1 - 2017/2/20
N2 - 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.
AB - 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.
KW - autoresonse
KW - GPGPU
KW - Kardar-Parisi-Zhang
KW - local scale-invariance
UR - http://www.scopus.com/inward/record.url?scp=85014308001&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85014308001&partnerID=8YFLogxK
U2 - 10.1088/1751-8121/aa5d87
DO - 10.1088/1751-8121/aa5d87
M3 - Article
AN - SCOPUS:85014308001
VL - 50
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 12
M1 - 12LT01
ER -