Analytical results for the cluster size distribution in controlled deposition processes |
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Authors: | Ke Jian-Hong Chen Xiao-Shuang and Lin Zhen-Quan |
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Institution: | National Laboratory of Infrared Physics, Shanghai Institute of Technical Physics, Chinese Academy of Sciences, Shanghai 200083, China; College of Physics and Electronic Information Engineering, Wenzhou University, Wenzhou 325035, China |
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Abstract: | This paper proposes a controlled particle deposition model
for cluster growth on the substrate surface and then presents exact
results for the cluster (island) size distribution. In the system,
at every time step a fixed number of particles are injected into the
system and immediately deposited onto the substrate surface. It
investigates the cluster size distribution by employing the
generalized rate equation approach. The results exhibit that the
evolution behaviour of the system depends crucially on the details
of the adsorption rate kernel. The cluster size distribution can
take the Poisson distribution or the conventional scaling form in
some cases, while it is of a quite complex form in other cases. |
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Keywords: | cluster growth deposition kinetic behaviour |
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