Lost in random length
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In spite of scaling exponents dependent to correlation strength in other linear and non-linear growth equations, enhancement of the correlation strength, does not change the growth exponent β=1/2. The results show that the enhancement of ρ exponent is accompanied by the appearance of irregularities and jumps in the height fluctuations. In this model the particles deposit in a power-law distance of each other as Δi,j=int, where u is chosen randomly over the range (0,1) and ρ is the correlation strength. We study the random deposition model with long-range spatially correlated noise. AnĮxplanation for this behaviour is discussed and the point of departure from the The interfaceĭeviates from its initial linear growth and eventually becomes saturated. With increase in the number of layers,Ĭorrelation effects between neighbouring columns become dominant. Their interface widths, in a logarithmic plot, are initially Surface diffusion show nearly random deposition-like behaviour upto monolayerĭeposition. Thus, a clearer understanding of the diffusion process and theĮffect of diffusion length on surface roughness is obtained. Performed and their results are interpreted in the light of the analyticalĬalculations. Numerical simulation of surfaceĭiffusion in random deposition model with varying extents of diffusion are
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Using the method, the probabilities forĭifferent diffusion lengths are calculated and their dependence on system sizeĪnd the number of deposited layers is studied. An analytical expression is derived toĬalculate the probability of a particle at any chosen site to diffuse to a For any given site, theĮxtent to which a particle can diffuse is decided by the morphology in the Model is made by analytical methods and reasoning. An investigation of the effect of surface diffusion in random deposition