Height distributions in competitive one-dimensional Kardar-Parisi-Zhang systems
نویسندگان
چکیده
منابع مشابه
Short-time height distribution in the one-dimensional Kardar-Parisi-Zhang equation: Starting from a parabola.
We study the probability distribution P(H,t,L) of the surface height h(x=0,t)=H in the Kardar-Parisi-Zhang (KPZ) equation in 1+1 dimension when starting from a parabolic interface, h(x,t=0)=x^{2}/L. The limits of L→∞ and L→0 have been recently solved exactly for any t>0. Here we address the early-time behavior of P(H,t,L) for general L. We employ the weak-noise theory-a variant of WKB approxima...
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Extended dynamical simulations have been performed on a (2+1)-dimensional driven dimer lattice-gas model to estimate aging properties. The autocorrelation and the autoresponse functions are determined and the corresponding scaling exponents are tabulated. Since this model can be mapped onto the (2+1)-dimensional Kardar-Parisi-Zhang surface growth model, our results contribute to the understandi...
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متن کاملUniversal fluctuation of the average height in the early-time regime of the one-dimensional Kardar-Parisi-Zhang-type growth
The statistics of the average height fluctuation of the one-dimensional Kardar-Parisi-Zhang(KPZ)-type surface is investigated. Guided by the idea of local stationarity, we derive the scaling form of the characteristic function in the early-time regime, t ≪ N with t time and N the system size, from the known characteristic function in the stationary state (t ≫ N) of the single-step model derivab...
متن کاملUniversal fluctuation of the average height in the early - time regime of one - dimensional Kardar – Parisi – Zhang - type growth
The statistics of the average height fluctuation of the onedimensional Kardar–Parisi–Zhang (KPZ)-type surface is investigated. Guided by the idea of local stationarity, we derive the scaling form of the characteristic function in the early-time regime, t N3/2 with t time and N the system size, from the known characteristic function in the stationary state (t N3/2) of the single-step model deriv...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2013
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.87.034401