Randomness in nanoscopic liquid-crystal droplets —How small is too small?
Department of Physics, Case Western Reserve University
Cleveland, OH 44106-7079, USA
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