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Interaction Effects on the Size Distribution in a Growth Model

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Abstract

We study, both analytically and numerically, the interaction effects on the skewness of the size distribution of elements in a growth model. We incorporate two types of global interaction into the growth model, and develop analytic expressions for the first few moments from which the skewness of the size distribution is calculated. It is found that depending on the sign of coupling, interactions may suppress or enhance the size growth, which in turn leads to the decrease or increase of the skewness. The amount of change tends to increase with the coupling strength, rather irrespectively of the details of the model.

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Authors and Affiliations

  1. Department of Physics and Department of Chemical Engineering, Keimyung University, Daegu, 42601, Korea

    Jungzae Choi

  2. Department of Physics and Astronomy and Center for Theoretical Physics, Seoul National University, Seoul, 08826, Korea

    M. Y. Choi

  3. Department of Physics, University of Ulsan, Ulsan, 44610, Korea

    Byung-Gook Yoon

Authors
  1. Jungzae Choi
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  2. M. Y. Choi
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  3. Byung-Gook Yoon
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Correspondence to Byung-Gook Yoon.

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Choi, J., Choi, M.Y. & Yoon, BG. Interaction Effects on the Size Distribution in a Growth Model. Journal of the Korean Physical Society 72, 327–334 (2018). https://doi.org/10.3938/jkps.72.327

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  • DOI: https://doi.org/10.3938/jkps.72.327

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