Scaling relations for the slippery ballistic growth model

Robert S. Sinkovits

Physica A: Statistical Mechanics and its Applications, 1994, vol. 209, issue 1, 1-8

Abstract: A slippery ballistic growth model is introduced in which deposited particles stick with probability ps to the sides of existing columns. Numerical simulations in 1 + 1 dimensions show that while this model belongs to the KPZ universality class, it also exhibits a short-time scaling regime during which the width of the growth region obeys the power law w ∼ t12 before crossing over to KPZ behavior. The crossover times between the three scaling regimes both scale with sticking probability as ps−1. The interface width at saturation ws is found to scale with ps, in addition to its scaling with substrate size.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:209:y:1994:i:1:p:1-8

DOI: 10.1016/0378-4371(94)90046-9

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