Hartmut-Loewen.pdf
Hartmut-Loewen.pdf
Hartmut-Loewen.pdf
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full density<br />
orientationally<br />
averaged g<br />
density<br />
orientational<br />
ordering<br />
second moment<br />
Results<br />
ρ(<br />
z, ϑ,<br />
t)<br />
π / 2<br />
∫<br />
ρ( z,<br />
t)<br />
= dϑ<br />
sin ϑρ(<br />
z,<br />
ϑ,<br />
t)<br />
0<br />
π / 2<br />
1<br />
⎡3<br />
2 1⎤<br />
S( z,<br />
t)<br />
= dϑ<br />
sin ϑ cos ϑ ρ(<br />
z,<br />
ϑ,<br />
t)<br />
ρ(<br />
z,<br />
t)<br />
∫ ⎢<br />
−<br />
ρ( , ) 0 ⎣2<br />
2⎥<br />
0 ⎣<br />
⎦<br />
∑ ∞<br />
∑<br />
−∞<br />
2<br />
m ( t)<br />
= dzz ( ρ(<br />
z,<br />
t)<br />
− ρ(<br />
z,<br />
t = ∞))<br />
2
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