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Random deposition43Random depositionsimplest possible growth modelPick a random column.Add a particle on top ofthat column = 1/2ξ = 1/2hW~ t~t1/244
Random deposition with surface diffusionParticle can move a short distance to find amore stable configuration.Pick a random column i.Compare h(i) and h(i+1).Particle is added onto whichever is lower. Ifthey are equal, add to column i or i+1 withequal probability. = 1/4ξ = 1/2hW~ t~t1/445Restricted Solid On Solid Model (RSOS)Neighbouring sites may not have a heightdifference greater than 1.Pick a random column i.Add a particle only ifh(i) h(i-1) and h(i) h(i+1).Otherwise pick a new column. = 1/3ξ = 1/2c46
Page 1 and 2: Monte Carlo MethodsNicholas Constan
Page 3 and 4: Calculation of π1x 2 + y 2 = 1 124
Page 5 and 6: Error of integrationconventional me
Page 7 and 8: Not smooth integralsg(x)ax ineed mo
Page 9 and 10: M(RT) 2 algorithmN.C. Metropolis, A
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Page 21: Irreversible growth• T. Vicsek,
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Page 31 and 32: Dielectric breakdown modelη = 0.16
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Page 41 and 42: N-dimensionalequationsBex a N-dimen
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Page 59 and 60: 3th order predictor- correctoruse e
Page 61 and 62: Comparison of methodsΔtfor fixed n

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