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1/35
1.
2.
3.
4.
5.
2/35
-
100 km/h
1–2 nm
< nm
HDI
3/35
MD
MD
F(r(t), (t))
F ! r(t + t), (t + t)
4/35
MD
1–2 nm
μm
HDI
–
5/35
o MD
o MD
Ø
Ø
Ø
MD
6/35
o MD
o MD
Ø
Ø
Ø
MD
7/35
Ø PFPE (perfluoropolyether)
Ø
X–O–[CF2CF2O]21[CF2O]21–X
Z X = CF3 Zdol X = CF2CH2OH
(111)
8/35
COMPASS
• simulation 2.1 g/cm3, catalog 1.82 g/cm3
• simulation 29 mm2/s, catalog 100 mm2/s
F(r(t), (t))
F ! r(t + t), (t + t)
9/35
ElectroStatic Potential (ESP) fitting
1.
2.
2.1 g/cm3 → 1.83 g/cm3 1.82 g/cm3
C
F
+δ
−δ
PFPE
10/35
D0
R0
UH bond(r, ) = D0
ñ
5
✓
R0
r
◆12
6
✓
R0
r
◆10ô
cos4
r
θ
Donor oxygen
Acceptor oxygen
Hydrogen
11/35
o
o
o
12/35
o MD
o MD
Ø
Ø
Ø
MD
13/35
→
Z C C O C O C C O
F
F
F
F
F
F
F
F
F
F
∙ ∙ ∙ O C
F
F
F C O
F
F
∙ ∙ ∙
F
F
C O FC C
F
F
F
F
Zdol C C O C O C C O
F
F
F
F
F
F
F
F
F
F
∙ ∙ ∙ O C C OH
F
F
H
H
C C O
H
H
F
F
HO ∙ ∙ ∙
(111)
4
dangling
bond
8–10
1/100
14/35
DPD MD
ri, vi i
F C i
F D F S i
⇢
˙r =
m ˙ = FC
+ FD + FS
Ull Ull-p, Ulll-pa
Uls Uls-p, Ulls-pa
§
Uba
Ubl
Ubl
Uba
Ud
Ud
Uls
Uls
Uls
Ull
Ull-p
Ull
Ulll-pa
Ulls-paUls-p
Ull-p
Ull-p
§
0
0.2
0.4
0.6
0.8
1
1.2
1.4
0 0.5 1 1.5 2
RDF,g(r)
distance, r [nm]
RDF
15/35
Iterative Boltzmann Inversion (IBI)
RDF g(r)
r
dr
r
RDF
RDF gref(r)
RDF g(r)
U(r) = kBT ln
g(r)
gref(r)
U +1
(r) = U (r) + U(r)
No
16/35
–
17/35
–
18/35
Rgv
Rgp
2Rgp
2Rgv
r
Rgp = Rgv = Rg
19/35
RDF
r = r + 2
⇥
Rg Rgp(r)
⇤
r
RDF IBI
RDF
RDF
–
–
20/35
1
2
21/35
Transverse DPD DPD
eij rij I
θij 1
ζ σ
DPD
Transverse DPD
FD
=
X
6=j
ƒD
j
, ƒD
j
= k
e jeT
j j
?
Ä
e jeT
j
ä
j
FS
=
X
6=j
ƒS
j
, ƒS
j
= k
e jeT
j j + ?
Ä
e jeT
j
ä
j
vij
rij
ζ
σ ζ
2
= 2kBT
22/35
2
fitting
50 nm
1.5 nm
MD
30 ns
23/35
APFPE–Disk = 4.7 10−20 J
A = 19.6 10−20 JC
H. Matsuoka, et al., Microsystem Technologies, 2005
Hamaker A
0.5 10−10 m2/s
Hamaker
-1
0
1
0.5 1 1.5
potential
potentialenergy[k
B
T]
distance, r [nm]
C
r6
C =
A
2
solid liq id
24/35
o
o
§
• –
•
Transverse DPD•
§ Hamaker
o 1/100
25/35
o MD
o MD
Ø
Ø
Ø
MD
26/35
Ra [nm] [nm]
A 0.2 0.5
B 0.2 1.2
: Vshear = 10, 20, 50, 100 m/s
Height[nm]
1.0
−1.0
30 nm 60 nm
: h = 2.0 nm
z
Vshear/2
−Vshear/2
h
0
x
27/35
= ˙
= ˙ ˙ = Vshe r/h
Ø A
B
Ø A
Ø B Zdol
Ø
=
˙
A
B
28/35
Vshear = 50 m/s
A B
vx
−25 m/s
25 m/s
Ø A
Ø B Zdol
dvx/dz
29/35
e =
˙e
= ˙
˙e = d /dz˙e = d /dz
Ø A
B
Ø
Ø
A
B
30/35
B
Vshear = 50 m/s
A B
31/35
Vshear = 50 m/s
A B
Zdol
Ø
Ø B
32/35
Zdol, Vshear = 10 m/s
S+S P+P S+P S P
A B
33/35
o
o
o
34/35
o MD
§
§
o
§
35/35
o
o
o
I.
* T. Kobayashi, H. Zhang, K. Fukuzawa, S. Itoh, “Molecular Dynamics Simulations of Diffusion of
Submonolayer Polar Liquid Lubricant Films on Solid Surfaces,” Microsystem Technologies, Springer, Vol. 22,
pp. 1285-1290, 2016.
* T. Kobayashi, H. Zhang, K. Fukuzawa, S. Itoh, “Coarse-Grained Molecular Dynamics Simulation of
Nanometer-Thick Polar Lubricant Films Sheared Between Solid Surfaces with Random Roughness,”
Transactions on Magnetics, IEEE Magnetics Society, Vol. 51, pp. 3300704, 2015.
II.
* T. Kobayashi, H. Zhang, K. Fukuzawa, S. Itoh, “Temperature Dependency of Shear Properties of Nanometer-
Thick Liquid Lubricant Films: A Molecular Dynamics Study,” World Tribology Congress 2017, September 17-22,
Beijin(China), 2017.
* T. Kobayashi, H. Zhang, K. Fukuzawa, S. Itoh, “Coarse-Grained Molecular Dynamics Study of Chemical
Structure effects on Shear Properties of Nanometer-Thick Lubricant Films,” International Symposium on Micro-
Nano Science and Technology 2016, December 16-18, Tokyo(Japan), 2016.
* T. Kobayashi, H. Zhang, K. Fukuzawa, S. Itoh, “Effect of Molecular Chemical Structures on Shear Properties
of Nanometer-Thick Liquid Lubricant Films: A Coarse-Grained Molecular Dynamics Study,” 2016 STLE
Tribology Frontiers Conference, November 13-15, Chicago(U.S.), 2016.
* T. Kobayashi, H. Zhang, K. Fukuzawa, S. Itoh, “Molecular dynamics simulations of diffusion of submonolayer
polar liquid lubricant films on solid surfaces,” 2015 JSME-IIP/ASME-ISPS Joint Conference on
Micromechatronics for Information and Precision Equipment, June 14-17, Kobe(Japan), 2015.
* T. Kobayashi, H. Zhang, K. Fukuzawa, S. Itoh, “Coarse-grained Molecular Dynamics Simulation of
Nanometer-thick Polar Lubricant Films Sheared between Solid Surfaces with Random Roughness,” IEEE
International Magnetics Conference 2015, May 11-15, Beijin(China), 2015.
III.
* , 2016.
* , 2015.
* MIPE AWARD 2015, 2015.
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研究内容のプレゼンテーション資料

  • 1.
  • 4. 3/35 MD MD F(r(t), (t)) F ! r(t + t), (t + t)
  • 9. 8/35 COMPASS • simulation 2.1 g/cm3, catalog 1.82 g/cm3 • simulation 29 mm2/s, catalog 100 mm2/s F(r(t), (t)) F ! r(t + t), (t + t)
  • 10. 9/35 ElectroStatic Potential (ESP) fitting 1. 2. 2.1 g/cm3 → 1.83 g/cm3 1.82 g/cm3 C F +δ −δ PFPE
  • 11. 10/35 D0 R0 UH bond(r, ) = D0 ñ 5 ✓ R0 r ◆12 6 ✓ R0 r ◆10ô cos4 r θ Donor oxygen Acceptor oxygen Hydrogen
  • 14. 13/35 → Z C C O C O C C O F F F F F F F F F F ∙ ∙ ∙ O C F F F C O F F ∙ ∙ ∙ F F C O FC C F F F F Zdol C C O C O C C O F F F F F F F F F F ∙ ∙ ∙ O C C OH F F H H C C O H H F F HO ∙ ∙ ∙ (111) 4 dangling bond 8–10 1/100
  • 15. 14/35 DPD MD ri, vi i F C i F D F S i ⇢ ˙r = m ˙ = FC + FD + FS Ull Ull-p, Ulll-pa Uls Uls-p, Ulls-pa § Uba Ubl Ubl Uba Ud Ud Uls Uls Uls Ull Ull-p Ull Ulll-pa Ulls-paUls-p Ull-p Ull-p §
  • 16. 0 0.2 0.4 0.6 0.8 1 1.2 1.4 0 0.5 1 1.5 2 RDF,g(r) distance, r [nm] RDF 15/35 Iterative Boltzmann Inversion (IBI) RDF g(r) r dr r RDF RDF gref(r) RDF g(r) U(r) = kBT ln g(r) gref(r) U +1 (r) = U (r) + U(r) No
  • 20. 19/35 RDF r = r + 2 ⇥ Rg Rgp(r) ⇤ r RDF IBI RDF RDF – –
  • 22. 21/35 Transverse DPD DPD eij rij I θij 1 ζ σ DPD Transverse DPD FD = X 6=j ƒD j , ƒD j = k e jeT j j ? Ä e jeT j ä j FS = X 6=j ƒS j , ƒS j = k e jeT j j + ? Ä e jeT j ä j vij rij ζ σ ζ 2 = 2kBT
  • 24. 23/35 APFPE–Disk = 4.7 10−20 J A = 19.6 10−20 JC H. Matsuoka, et al., Microsystem Technologies, 2005 Hamaker A 0.5 10−10 m2/s Hamaker -1 0 1 0.5 1 1.5 potential potentialenergy[k B T] distance, r [nm] C r6 C = A 2 solid liq id
  • 27. 26/35 Ra [nm] [nm] A 0.2 0.5 B 0.2 1.2 : Vshear = 10, 20, 50, 100 m/s Height[nm] 1.0 −1.0 30 nm 60 nm : h = 2.0 nm z Vshear/2 −Vshear/2 h 0 x
  • 28. 27/35 = ˙ = ˙ ˙ = Vshe r/h Ø A B Ø A Ø B Zdol Ø = ˙ A B
  • 29. 28/35 Vshear = 50 m/s A B vx −25 m/s 25 m/s Ø A Ø B Zdol dvx/dz
  • 30. 29/35 e = ˙e = ˙ ˙e = d /dz˙e = d /dz Ø A B Ø Ø A B
  • 32. 31/35 Vshear = 50 m/s A B Zdol Ø Ø B
  • 33. 32/35 Zdol, Vshear = 10 m/s S+S P+P S+P S P A B
  • 37. I. * T. Kobayashi, H. Zhang, K. Fukuzawa, S. Itoh, “Molecular Dynamics Simulations of Diffusion of Submonolayer Polar Liquid Lubricant Films on Solid Surfaces,” Microsystem Technologies, Springer, Vol. 22, pp. 1285-1290, 2016. * T. Kobayashi, H. Zhang, K. Fukuzawa, S. Itoh, “Coarse-Grained Molecular Dynamics Simulation of Nanometer-Thick Polar Lubricant Films Sheared Between Solid Surfaces with Random Roughness,” Transactions on Magnetics, IEEE Magnetics Society, Vol. 51, pp. 3300704, 2015. II. * T. Kobayashi, H. Zhang, K. Fukuzawa, S. Itoh, “Temperature Dependency of Shear Properties of Nanometer- Thick Liquid Lubricant Films: A Molecular Dynamics Study,” World Tribology Congress 2017, September 17-22, Beijin(China), 2017. * T. Kobayashi, H. Zhang, K. Fukuzawa, S. Itoh, “Coarse-Grained Molecular Dynamics Study of Chemical Structure effects on Shear Properties of Nanometer-Thick Lubricant Films,” International Symposium on Micro- Nano Science and Technology 2016, December 16-18, Tokyo(Japan), 2016. * T. Kobayashi, H. Zhang, K. Fukuzawa, S. Itoh, “Effect of Molecular Chemical Structures on Shear Properties of Nanometer-Thick Liquid Lubricant Films: A Coarse-Grained Molecular Dynamics Study,” 2016 STLE Tribology Frontiers Conference, November 13-15, Chicago(U.S.), 2016. * T. Kobayashi, H. Zhang, K. Fukuzawa, S. Itoh, “Molecular dynamics simulations of diffusion of submonolayer polar liquid lubricant films on solid surfaces,” 2015 JSME-IIP/ASME-ISPS Joint Conference on Micromechatronics for Information and Precision Equipment, June 14-17, Kobe(Japan), 2015. * T. Kobayashi, H. Zhang, K. Fukuzawa, S. Itoh, “Coarse-grained Molecular Dynamics Simulation of Nanometer-thick Polar Lubricant Films Sheared between Solid Surfaces with Random Roughness,” IEEE International Magnetics Conference 2015, May 11-15, Beijin(China), 2015. III. * , 2016. * , 2015. * MIPE AWARD 2015, 2015.