IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v484y2017icp299-308.html
   My bibliography  Save this article

Skewness and kurtosis of height distribution of thin films simulated by larger curvature model with noise reduction techniques

Author

Listed:
  • Disrattakit, P.
  • Chanphana, R.
  • Chatraphorn, P.

Abstract

Time varying skewness (S) and kurtosis (Q) of height distribution of (2+1)-dimensional larger curvature (LC) model with and without noise reduction techniques (NRTs) are investigated in both transient and steady state regimes. In this work, effects of the multiple hit NRT (m>1 NRT) and the long surface diffusion length NRT (ℓ>1 NRT) on the surface morphologies and characteristics of S and Q are studied. In the early growth time, plots of S and Q versus time of the m>1 morphologies show pronounced oscillation indicating the layer by layer growth. Our results show that S=0 and Q<0 at every half layer while S=0 and Q>0 at every complete layer. The results are confirmed by the same plots of the results from the Das Sarma–Tamborenea (DT) model. The ℓ>1 LC model, on the other hand, has no evidence of the layer by layer growth mode due to the rapidly damped oscillation of S and Q. In the steady state, the m>1 and ℓ>1 NRTs affect weakly on the values of S and Q and the mounded morphologies of the film. This lead to the evidence of universality of S and Q in the steady state of the LC models with various m and ℓ. The finite size effect on the values of S and Q is found to be very weak in the LC model. By extrapolating to L→∞, we obtain SL→∞≈0.05 and QL→∞≈−0.62 which are in agreement with the NRTs results.

Suggested Citation

  • Disrattakit, P. & Chanphana, R. & Chatraphorn, P., 2017. "Skewness and kurtosis of height distribution of thin films simulated by larger curvature model with noise reduction techniques," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 484(C), pages 299-308.
    • Handle: RePEc:eee:phsmap:v:484:y:2017:i:c:p:299-308
    DOI: 10.1016/j.physa.2017.04.075
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437117303850
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2017.04.075?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Disrattakit, P. & Chanphana, R. & Chatraphorn, P., 2016. "Roughness distribution of multiple hit and long surface diffusion length noise reduced discrete growth models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 619-629.
    2. Xun, Zhipeng & Tang, Gang & Han, Kui & Xia, Hui & Hao, Dapeng & Chen, Yuling & Wen, Rongji, 2010. "Mound morphology of the 2+1 -dimensional Wolf–Villain model caused by the step-edge diffusion effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(24), pages 5635-5644.
    3. Costa, B.S. & Euzébio, J.A.R. & Aarão Reis, F.D.A., 2003. "Finite-size effects on the growth models of Das Sarma and Tamborenea and Wolf and Villain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 328(1), pages 193-204.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Mallio, Daniel O. & Aarão Reis, Fábio D.A., 2022. "Short length scale fluctuations in lattice growth models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 596(C).
    2. To, Tung B.T. & de Sousa, Vitor B. & Aarão Reis, Fábio D.A., 2018. "Thin film growth models with long surface diffusion lengths," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 511(C), pages 240-250.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Disrattakit, P. & Chanphana, R. & Chatraphorn, P., 2016. "Roughness distribution of multiple hit and long surface diffusion length noise reduced discrete growth models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 619-629.
    2. Chen, Yili & Tang, Gang & Xun, Zhipeng & Zhu, Lei & Zhang, Zhe, 2017. "Schramm–Loewner evolution theory of the asymptotic behaviors of (2+1)-dimensional Wolf–Villain model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 613-620.
    3. To, Tung B.T. & de Sousa, Vitor B. & Aarão Reis, Fábio D.A., 2018. "Thin film growth models with long surface diffusion lengths," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 511(C), pages 240-250.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:484:y:2017:i:c:p:299-308. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.