| Issue |
Europhys. Lett.
Volume 59, Number 3, August 2002
|
|
|---|---|---|
| Page(s) | 398 - 402 | |
| Section | Condensed matter: structure, mechanical and thermal properties | |
| DOI | https://doi.org/10.1209/epl/i2002-00208-x | |
| Published online | 01 September 2002 | |
Randomness in nanoscopic liquid-crystal droplets —How small is too small?
Department of Physics, Case Western Reserve University
Cleveland, OH 44106-7079, USA
Received:
7
January
2002
Accepted:
6
May
2002
We have used random matrix theory to obtain an exact result for the
probability distribution of the nematic order parameter in a randomly
oriented array of rod-shaped molecules. The result for the average order
parameter is that 
. This disproves a conjecture that 
should tend to 
.
PACS: 61.30.-v – Liquid crystals / 71.15.Pd – Molecular dynamics calculations (Car-Parrinello) and other numerical simulations / 61.20.Ja – Computer simulation of liquid structure
© EDP Sciences, 2002
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