SLIDE 5 density field partition function
QK(k, rk; l, rl)
potential field
VK(r)
φK(r)
VK(r) = 1 2 X
K0
kBTχKK0φK0(r)
→ ∂ ∂nQK(n, r) = b2 6 ∆ − βVK(r)
φ∗
K(r) =
X
m
Z drk Z drlQK(k | m)QK(m | l) Z drk Z drlQK(k | l)
TERM1:Continuum approximation TERM3:External field of inhomogeneous mixture
TERM2:Expectation from path integral
( QK(− → r ) QK(− → r ) = 0 (∀K)
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○The selection rules for mesoscale structure of block-copolymer/carbon nanotube complex system
H.Y.S.Satoh Dept. of phys., TOHOKU univ.
(P
K φK(−
→ r ) = 1 φK(− → r ) = 0 (∀K)
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( WK(− → r ) = W i
K(−
→ r ) + W s
K(−
→ r ) µK(− → r ) = ∞ (∀K)
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Polymer
Nanotube
Occupation
− → m
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L
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R
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γ
ψ
G
Orientational distribution
Kyoto univ.
Global structure: No effect from
fillers
Y.Chen et al; J. Nanomat.,(2014)614797
10nm → 10µm
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By parallelization