IDEAS home Printed from https://ideas.repec.org/a/spr/eurphb/v95y2022i9d10.1140_epjb_s10051-022-00401-1.html
   My bibliography  Save this article

Percolation and jamming properties in particle shape-controlled seeded growth model

Author

Listed:
  • D. Dujak

    (University of Sarajevo)

  • A. Karač

    (University of Zenica)

  • Lj. Budinski-Petković

    (Faculty of Engineering)

  • Z. M. Jakšić

    (Institute of Physics Belgrade, University of Belgrade)

  • S. B. Vrhovac

    (Institute of Physics Belgrade, University of Belgrade)

Abstract

We consider the percolation model with nucleation and simultaneous growth of multiple finite clusters, taking the initial seed concentration $$\rho $$ ρ as a tunable parameter. Growing objects expand with constant speed, filling the nodes of the triangular lattice according to rules that control their shape. As growing objects of predefined shape, we consider needle-like objects and “wrapping” objects whose size is gradually increased by wrapping the walks in several different ways, making triangles, rhombuses, and hexagons. Growing random walk chains are also analyzed as an example of objects whose shape is formed randomly during the growth. We compare the percolation properties and jamming densities of the systems of various growing shapes for a wide range of initial seed densities $$\rho

Suggested Citation

  • D. Dujak & A. Karač & Lj. Budinski-Petković & Z. M. Jakšić & S. B. Vrhovac, 2022. "Percolation and jamming properties in particle shape-controlled seeded growth model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(9), pages 1-16, September.
    • Handle: RePEc:spr:eurphb:v:95:y:2022:i:9:d:10.1140_epjb_s10051-022-00401-1
    DOI: 10.1140/epjb/s10051-022-00401-1
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1140/epjb/s10051-022-00401-1
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1140/epjb/s10051-022-00401-1?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. Adler, Joan, 1991. "Bootstrap percolation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 171(3), pages 453-470.
    2. M. E. J. Newman & R. M. Ziff, 2001. "A Fast Monte Carlo Algorithm for Site or Bond Percolation," Working Papers 01-02-010, Santa Fe Institute.
    3. Cornette, V & Ramirez-Pastor, A.J & Nieto, F, 2003. "Dependence of the percolation threshold on the size of the percolating species," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 327(1), pages 71-75.
    4. Roy, Bappaditya & Santra, S.B., 2018. "Finite size scaling study of a two parameter percolation model: Constant and correlated growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 969-979.
    5. V. Cornette & A. Ramirez-Pastor & F. Nieto, 2003. "Percolation of polyatomic species on a square lattice," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 36(3), pages 391-399, December.
    6. Lebrecht, W. & Centres, P.M. & Ramirez-Pastor, A.J., 2019. "Analytical approximation of the site percolation thresholds for monomers and dimers on two-dimensional lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 133-143.
    Full references (including those not matched with items on IDEAS)

    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. Huang, Xudong & Yang, Dong & Kang, Zhiqin, 2021. "Impact of pore distribution characteristics on percolation threshold based on site percolation theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 570(C).
    2. Liu, Run-Ran & Chu, Changchang & Meng, Fanyuan, 2023. "Higher-order interdependent percolation on hypergraphs," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    3. Kolotev, Sergei & Malyutin, Aleksandr & Burovski, Evgeni & Krashakov, Sergei & Shchur, Lev, 2018. "Dynamic fractals in spatial evolutionary games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 499(C), pages 142-147.
    4. Bastas, N. & Giazitzidis, P. & Maragakis, M. & Kosmidis, K., 2014. "Explosive percolation: Unusual transitions of a simple model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 407(C), pages 54-65.
    5. John Higgins & Tarun Sabarwal, 2021. "Control and Spread of Contagion in Networks," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 202201, University of Kansas, Department of Economics, revised Jan 2022.
    6. Gil, Maria Angeles & Gonzalez-Rodriguez, Gil & Colubi, Ana & Montenegro, Manuel, 2007. "Testing linear independence in linear models with interval-valued data," Computational Statistics & Data Analysis, Elsevier, vol. 51(6), pages 3002-3015, March.
    7. Lin, Jianjun & Chen, Huisu & Liu, Lin & Zhang, Rongling, 2020. "Impact of particle size ratio on the percolation thresholds of 2D bidisperse granular systems composed of overlapping superellipses," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 544(C).
    8. Mountford, T. S., 1995. "Critical length for semi-oriented bootstrap percolation," Stochastic Processes and their Applications, Elsevier, vol. 56(2), pages 185-205, April.
    9. Franco Bagnoli & Emanuele Bellini & Emanuele Massaro & Raúl Rechtman, 2019. "Percolation and Internet Science," Future Internet, MDPI, vol. 11(2), pages 1-26, February.
    10. Almeira, Nahuel & Perotti, Juan Ignacio & Chacoma, Andrés & Billoni, Orlando Vito, 2021. "Explosive dismantling of two-dimensional random lattices under betweenness centrality attacks," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    11. Šćepanović, J.R. & Karač, A. & Jakšić, Z.M. & Budinski-Petković, Lj. & Vrhovac, S.B., 2019. "Group chase and escape in the presence of obstacles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 450-465.
    12. Cerf, R. & Manzo, F., 2002. "The threshold regime of finite volume bootstrap percolation," Stochastic Processes and their Applications, Elsevier, vol. 101(1), pages 69-82, September.
    13. Winkert, Éder & de Oliveira, Paulo M.C. & Faria, Luiz R.R., 2019. "Modeling diploid male dynamics in Hymenoptera: Effects of the number of alleles, dispersal by random walk and simple spatial structuring," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 45-55.
    14. Chen, Zhihua & An, Haizhong & An, Feng & Guan, Qing & Hao, Xiaoqing, 2018. "Structural risk evaluation of global gas trade by a network-based dynamics simulation model," Energy, Elsevier, vol. 159(C), pages 457-471.
    15. Malarz, Krzysztof, 2023. "Random site percolation thresholds on square lattice for complex neighborhoods containing sites up to the sixth coordination zone," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 632(P1).
    16. Tarasevich, Yuri Yu. & Laptev, Valeri V. & Goltseva, Valeria A. & Lebovka, Nikolai I., 2017. "Influence of defects on the effective electrical conductivity of a monolayer produced by random sequential adsorption of linear k-mers onto a square lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 477(C), pages 195-203.
    17. Katori, Machiko & Katori, Makoto, 2021. "Continuum percolation and stochastic epidemic models on Poisson and Ginibre point processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 581(C).

    More about this item

    Statistics

    Access and download statistics

    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:spr:eurphb:v:95:y:2022:i:9:d:10.1140_epjb_s10051-022-00401-1. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.