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In order to estimate roughness exponents of interface growth models, we propose the calculation of effective exponents … from the roughness fluctuation σ in the steady state. We compare the finite-size behavior of these exponents and the ones … calculated from the average roughness 〈w2〉 for two models in the 2+1-dimensional Kardar–Parisi–Zhang (KPZ) class and for a model …
Persistent link: https://www.econbiz.de/10011063872
The deterministic variant of the Kardar–Parisi–Zhang equation for the evolution of a growing interface is used to model …
Persistent link: https://www.econbiz.de/10010588535
In this paper, a mode of using the Dynamic Renormalization Group (DRG) method is suggested in order to cope with inconsistent results obtained when applying it to a continuous family of one-dimensional nonlocal models. The key observation is that the correct fixed-point dynamical system has to...
Persistent link: https://www.econbiz.de/10011058975
Interface pinning–depinning transition in quenched random media is studied by investigating a simple directed polymer … over all slope of the interface and the reduced force, respectively. The coefficient λ of the KPZ nonlinear term is … proportional to −v and it approaches zero as F→Fc. We find that the roughness exponent α=1.00±0.02 in d=1+1 and α=0.92±0.05 in d=2 …
Persistent link: https://www.econbiz.de/10011059334
Finite-temperature-directed polymer in random potentials is described by a transfer matrix method. On 4+1 dimensions, the evidence for a finite-temperature phase transition is found at Tc≈0.18, where the free energy fluctuation grows logarithmically as a function of time t. When T⪡Tc, the...
Persistent link: https://www.econbiz.de/10011060544
We develop a phenomenological mapping between submonolayer polynuclear growth (PNG) and the interface dynamics at and …. The morphology of the still-active and pinned configurations and the interface velocity are compared to the PNG picture …. The interface mean height scales as erf(t). …
Persistent link: https://www.econbiz.de/10011061033
We briefly review recent work on universal finite-size scaling functions (UFSSFs) and quantities in percolation models. The topics under discussion include: (a) UFSSFs for the existence probability (also called crossing probability) Ep, the percolation probability P, and the probability Wn of...
Persistent link: https://www.econbiz.de/10010664916
The problem of effusion is studied using Monte Carlo simulations and scaling analysis. Particles confined to the interior of a container undergo a random walk with step size δ. If a hole is opened in one of the container walls, an outgoing diffusive current of particles will exit through it....
Persistent link: https://www.econbiz.de/10011060514
Persistent link: https://www.econbiz.de/10010539380
Since its introduction, the Journal Impact Factor has probably been the most extensively adopted bibliometric indicator. Notwithstanding its well-known strengths and limits, it is still widely misused as a tool for evaluation, well beyond the purposes it was intended for. In order to shed...
Persistent link: https://www.econbiz.de/10011039392