Local Scale-Invariance of the 2+1 dimensional Kardar-Parisi-Zhang model

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.

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Cited by in corpus (9)

• Anomalous diffusion: A basic mechanism for the evolution of inhomogeneous systems
• Aging in the long-range Ising model
• Schrödinger symmetry: a historical review
• From dynamical scaling to local scale-invariance: a tutorial
• Dynamical universality classes of simple growth and lattice gas models
• Dynamical universality of the contact process
• Non-local meta-conformal invariance, diffusion-limited erosion and the XXZ chain
• Physical ageing from generalised time-translation-invariance
• Exactly solvable models of growing interfaces and lattice gases: the Arcetri models, ageing and logarithmic sub-ageing