D. ROCCATO and E. VIRGA
Drops of nematic liquid crystals floating on a liquid
Pages 47-71
Received: 1 February 1990
Abstract
We predict the equilibrium shapes of a drop of nematic
liquid crystal floating on a liquid. Under plausible assumptions, we reduce the free energy to a functional that depends on a dimensionless parameter ω related to the temperature.
We find that when -1<ω≤1
the only equilibrium shape of the drop is a ball.
When ω>1
there are two equilibrium shapes, namely a ball and a
ball bearing a crater underneath the plane of buoyancy.
The latter shape minimizes the free energy.
The size of the crater depends on ω,and it vanishes when ω=1
Thus a bifurcation with
exchange of stability occurs at this point.