Dynamic scaling form in wavelet-discriminated Edwards-Wilkinson growth equation
نویسندگان
چکیده
منابع مشابه
Dynamic scaling form in wavelet-discriminated Edwards-Wilkinson growth equation.
We present an analysis of dynamic scaling of the Edwards-Wilkinson growth model from wavelets' perspective. Scaling function for the surface width is determined using wavelets' formalism, by computing the surface width for each wavelet scale, we show that an exact and simple form of the scaling function is obtained. These predictions are confirmed by computer simulation of a growth model descri...
متن کاملDynamic scaling of the width distribution in Edwards-Wilkinson type models of interface dynamics.
Edwards-Wilkinson type models are studied in 111 dimensions and the time-dependent distribution PL(w ,t) of the square of the width of an interface w is calculated for systems of size L . We find that, using a flat interface as an initial condition, PL(w ,t) can be calculated exactly and it obeys scaling in the form ^w&`PL(w ,t)5F(w/^w&` ,t/L ), where ^w&` is the stationary value of w . For mor...
متن کاملA New Method to Study Stochastic Growth Equations: Application to the Edwards-Wilkinson Equation
In this work we introduce a method to study stochastic growth equations, which follows a dynamics based on cellular automata modeling. The method defines an interface growth process that depends on height differences between neighbors. The growth rules assign a probability pi(t) for site i to receive a particle at time t, where pi(t) = ρ exp[κΓi(t)]. Here ρ and κ are two parameters and Γi(t) is...
متن کاملThe Edwards-Wilkinson limit of the random heat equation in dimensions three and higher
We consider the heat equation with a multiplicative Gaussian potential in dimensions d ≥ 3. We show that the renormalized solution converges to the solution of a deterministic diffusion equation with an effective diffusivity. We also prove that the renormalized large scale random fluctuations are described by the Edwards-Wilkinson model, that is, the stochastic heat equation (SHE) with additive...
متن کاملAnisotropy and universality: the Oslo model, the rice pile experiment, and the quenched Edwards-Wilkinson equation.
We show that any amount of anisotropy moves the Oslo model to another known universality class, the exponents of which can be derived exactly. This amounts to an exact solution of the quenched Edwards-Wilkinson equation with a drift term. We argue that anisotropy is likely to be experimentally relevant and may explain why consistent exponents have not been extracted in the rice pile experiments.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 2005
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.72.011608