Compaction of two-dimensional system of composite spherical particles under influence of self-gravitation: Between lock-and-key model and tetris-structure
This document summarizes a presentation given at the International Symposium on Space Science in 2019. The presentation discussed a simulation of how composite spherical particles compact under self-gravitation. The simulation considered different families of composite particles, including S-family and H-family particles. The results showed that while S-family particles could influence their neighbors' configuration, the presence of H-family particles overrode this effect, leading to different compacted structures. Going forward, the presenters planned to generate more configurations, include M-family particles, and explore different members of the composite particle families.
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Compaction of two-dimensional system of composite spherical particles under influence of self-gravitation: Between lock-and-key model and tetris-structure
1. 25 September 2019
Bandung, Indonesia
International Symposium on Space Science
(ISSS 2019)
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Compaction of two-dimensional system of
composite spherical particles under influence of
self-gravitation: Between lock-and-key model
and tetris-structure
Sparisoma Viridi1, Budi Dermawan2
1Department of Physics, Institut Teknologi Bandung, Bandung 40132, Indonesia
2Department of Astronomy, Institut Teknologi Bandung, Bandung 40132, Indonesia
1dudung@fi.itb.ac.id, 2budider@as.itb.ac.id
20190925_4
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Outline
• Previous study
• Question
• Simulation
• Results and discussion
• Summaries
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Previous study
4. Hexagonal close packed structure
• Simulation of floating spheres forming two-
dimensional hexagonal close packed (HCP)
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S. Viridi, V. Suendo, "Molecular Dynamics Simulation of Floating Sphere Forming Two-Dimensional Hexagonal Close
Packed Structure", the 5th International Symposium on Current Progress in Mathematics and Sciences (ISCPMS
2019), 9-10 July 2019, Depok, Indonesia, (presented, reviewed, revised), url https://doi.org/10.17605/osf.io/a3gjv.
5. t = 0 s
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0.5σ 1.5σ
6. t = 1 s
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0.5σ 1.5σ
7. t = 3 s
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0.5σ 1.5σ
8. t = 4 s
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0.5σ 1.5σ
9. t = 6 s
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0.5σ 1.5σ
10. t = 10 s
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0.5σ 1.5σ
11. 96 million 'shade balls' at LA
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Mashable, "LA throws 96 million 'shade balls' at its water shortage — and it's mesmerizing | Mashable", YouTube,
13.08.2015, url https://www.youtube.com/watch?v=mEmwJzQjwyw [20190710].
13. Question
• How can non-HCP structure be made?
• What if there are composite particles?
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14. Families of composite particles
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15. Normal length types
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17. System
• There are several spherical particles and also
composite particles
• They interact through repulsion force Nij and
attractive force Gij
• There is also binding force Bij in a composite
particle
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18. Considered forces
• Binding force
where holds only internally inside a composite
particles (S-, H-, or M-families)
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ijBijijijBij vrlrkB
ˆ
19. Considered forces (cont.)
• Attractive force: gravitation force
• Repulsion force (limited range): normal force
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ij
ij
ji
Gij r
r
mm
kG ˆ
2
ijijNijijNij vrkN ˆˆ
20. Newton’s 2nd law
• Acceleration of particle i
index j only inside a composite particle
index k only between composite particle
index l for all particles
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l
il
k
ik
j
ij
i
i GNB
m
ta
1
21. Numerical solution
• Using Euler algorithm
integrated from tbeg to tend with rather small
time step Δt
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ttatvttv iii
ttvtrttr iii
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Results and discussion
23. Only spherical particles
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24. S-family composite particle
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25. H-family composite particle
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26. S- & H-families composite particle
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28. Conclusion
• Simulation of compaction of two-dimensional
system of composite spherical particles under
influence of self-gravitation has been per-
formed
• S-family composite particles can affect their
neighbor configuration
• But if there are H-family composite particles,
their influence will override S-family influence
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29. Next plan
• Generate more configurations to get better
statistical results
• Use also M-familiy composite particles
• Use another member of S-, H-, and M-families
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30. Acknowledgements
• ISSS 2019 Committee and LAPAN for the
opportunity in presenting this work
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https://osf.io/8f479/