International Conference on Computation in Science and Engineering (ICCSE 2019), 14-15 October 2019, Bandung, Indonesia.

1. 14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
1
Formulating Two-Body
Interaction through Observed
Separation Distance
Sparisoma Viridi, Erlina
Department of Physics, Institut Teknologi Bandung, Bandung 40132, Indonesia
dudung@fi.itb.ac.id
20191013_2

2. 14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
2
Outline
• Previous studies
• Two-bodies (and more-bodies) system
• Results and discussion
• Summaries

3. 14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
3
Previous studies

4. Hexagonal close packed structure
• Simulation of floating spheres forming two-
dimensional hexagonal close packed (HCP)
• It is assumed that n = 2
14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
4
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.
ijn
ij
A
ij r
r
k
A ˆ


5. t = 0 s
14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
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0.5σ 1.5σ

6. t = 1 s
14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
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0.5σ 1.5σ

7. t = 3 s
14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
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0.5σ 1.5σ

8. t = 4 s
14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
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0.5σ 1.5σ

9. t = 6 s
14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
9
0.5σ 1.5σ

10. t = 10 s
14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
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0.5σ 1.5σ

11. 96 million 'shade balls' at LA
14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
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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].

12. Composite and spherical particles
• Simulation of floating spheres compaction
induced by composites particles
14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
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S. Viridi, B, Dermawan "Compaction of two-dimensional system of composite spherical particles under influence of self-
gravitation: Between lock-and-key model and tetris-structure", International Symposium on Space Science (ISSS 2019),
25 September 2019, Bandung, Indonesia, (presented, submitted), url https://doi.org/10.17605/osf.io/8f479

13. Families of composite particles
14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
13

14. Normal length types
14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
14

15. Only spherical particles
14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
15

16. S-family composite particle
14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
16

17. H-family composite particle
14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
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18. S- & H-families composite particle
14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
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19. 14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
19
Two-bodies (and
more-bodies) system

20. Interaction through surface tension
14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
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Marie-Julie Dalbe, Darija Cosic, Michael Berhanu, Arshad Kudrolli, "Aggregation of frictional particles due to capillary
attraction", Physical Review E [Phys. Rev. E], vol. 83, no. 5, p. 051403, May 2011, url
https://doi.org/10.1103/PhysRevE.83.051403.

21. N = 3
14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
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22. Two-bodies interaction
• It is assumed that
• If it is the only force
14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
22
ijn
ij
ij r
r
c
F ˆ

iiij rmF 


23. Two-bodies interaction (cont.)
• Let’s use , , and
• Then
and
• For each mass
and
14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
23
rrij

 rrij  rrij
ˆˆ 
r
r
c
F nij
ˆ

r
r
c
F nji
ˆ

iiij rmF 
 jjij rmF 


24. Two-bodies interaction (cont.)
• Subtraction wil give
which is a differential equation of r
14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
24
rr
r
c
rFrrF
mm
n
ijjiij
ji














ˆ
1
111



25. Two-bodies interaction (cont.)
• Using a numerical method
value of can be found
• If there is observation data then value of n can
be calculated
14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
25
      ttrtrttr  
      ttrtrttr  
 tr


26. 14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
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Results and discussion

27. Clustering observation
• Observed at t = 0 s (left) and t = 40 s (right)
• D ~ 4 cm
14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
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28. 14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
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Two-balls observation
Various floating states

29. 14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
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30. 14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
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Summaries

31. Conclusion
• Observation of separation distance between
two floating spheres for various floating states
have been performed
• Information of separation distance as function
of time has been obtained
14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
31

32. Next plan
• Relate the data to the proposed interaction
model
• Find the proportional constant
14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
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33. Acknowledgements
• ICCSE 2019 Committee and FMIPA ITB for the
opportunity in presenting this work as an
keynote speaker
14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
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url http://iccse2019.fmipa-itb.org/ [20191013].

34. 14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
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https://osf.io/7bnxu/

35. 14-15 October 2019
Bandung, Indonesia
International Conference on Computation
in Science and Engineering (ICCSE 2019)
35
Thank you