two-dimension granular fission toy model and evolution of granular compaction
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APS 2015 19-20 Agustus 2015, Bandung, Indonesia 1
Two-Dimension Granular Fission Toy Model and Evolution of Granular
Compaction
Sparisoma Viridi*, Rizal Kurniadi, and Abdul Waris
Nuclear Physics and Biophysics Research DivisionInstitut Teknologi Bandung, Jalan Ganesha 10, Bandung 40132, Indonesia*dudung@gmail.com
APS 2015 19-20 Agustus 2015, Bandung, Indonesia 2
Outline
• Previous studies• Interactions• Molecular dynamics method• Simulation parameters• Results and discussion• Summaries
Interactions
• Repulsive force• Attractive force• Electrostatic force• Center force
APS 2015 19-20 Agustus 2015, Bandung, Indonesia 5
Interactions: Repulsive force
• Linear spring dash-pot model
APS 2015 19-20 Agustus 2015, Bandung, Indonesia 6
ijNijijNij vrkF ˆˆ
ijij rD ,0max
ijijijijij
ijij rrrr
rr
r
,ˆ
ijijijijij
ijij vvvv
vv
v
,ˆ
Interactions: Attractive force
• Gravitational-like force
APS 2015 19-20 Agustus 2015, Bandung, Indonesia 7
ijij
Gij rrmkG ˆ
2
2
Interactions: Electrostatic force
• Coulomb-like force
APS 2015 19-20 Agustus 2015, Bandung, Indonesia 8
ijij
jiQij rr
qqkQ ˆ
2
Interactions: Center force
• Near earth gravitation-like force
APS 2015 19-20 Agustus 2015, Bandung, Indonesia 9
ci
cigi rr
rrmkF
Molecular dynamics method
• Newton second law of motion
• Euler algorithm
APS 2015 19-20 Agustus 2015, Bandung, Indonesia 10
ijijijijii GQFF
ma
1
1
tatvttv
tvtrttr
Simulation parameters
• kN = 5×103, γN = 0
• kG = 0.5
• kQ = 1
• kg = 100, rc± =
• D = 0.5, m = 1, qi = 0
APS 2015 19-20 Agustus 2015, Bandung, Indonesia 11
)1,1(22
Results and discussion
• Initial and final configurations• Evolution of compaction
APS 2015 19-20 Agustus 2015, Bandung, Indonesia 13
Summaries
• Considered forces and chosen parameters fission-like process for 2-d spherical granular configuration
• Compaction tends to form 2-d hexagonal close packed (HCP) system under influence of the forces
APS 2015 19-20 Agustus 2015, Bandung, Indonesia 19
Future plan
• Formulation to quantify compaction for multi-center compaction
• Introduce charged particles• Add probabilistic factor
APS 2015 19-20 Agustus 2015, Bandung, Indonesia 20
Acknowledgement
• This work is supported by Riset Inovasi Batch II with contract number 1763/I1.B04.1/KU/2015
APS 2015 19-20 Agustus 2015, Bandung, Indonesia 21
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