F. Greco et G. Marrucci, THE TUMBLING OR FLOW-ALIGNING NATURE OF NEMATICS AS PREDICTED FROM THE SLIGHTLY BENDING ROD MOLECULAR-MODEL, Liquid crystals, 22(1), 1997, pp. 11-16
Existing calculations of the Leslie coefficients for rigid rods endowe
d with the Maier-Saupe potential are here extended to investigate the
consequences of relaxing the constraint of a complete molecular rigidi
ty. In particular, the recently proposed model of the Slightly Bending
Rod (SBR) is used to calculate the ratio alpha(3)/alpha(2), the sign
of which controls whether the nematic is of the tumbling or flow-align
ing type. The results show that SBRs are more prone to tumbling than f
ully rigid rods. The flow-aligning to tumbling transition, which lakes
place by increasing the order parameter (e.g. by decreasing the tempe
rature) is shifted, for SBRs, to a smaller value of the order paramete
r.