Fluctuational shift of nematic-isotropic phase transition temperature
E. I. Kats
Landau Institute for Theoretical Physics, RAS, 142432 Chernogolovka, Russia
Abstract
In this work we discuss a macroscopic counterpart to the microscopic
mechanism of the straightening dimer mesogens
conformations, proposed recently by S.M. Saliti, M.G. Tamba, S.N. Sprunt,
C. Welch, G.H. Mehl, A. Jakli, J.T. Gleeson (Phys. Rev. Lett. 116,
217801 (2016)) to explain their experimental observation of the
unprecedentedly large shift of the nematic - isotropic transition
temperature. Our interpretation is based on singular longitudinal
fluctuations of the nematic order parameter. Since these fluctuations are
governed by the Goldstone director fluctuations they exist only in the
nematic state. External magnetic field suppresses the singular longitudinal
fluctuations of the order parameter (similarly as it is the
case for the transverse director fluctuations, although with a different
scaling over the magnetic field).
The reduction of the fluctuations changes the equilibrium value of the
modulus of the order parameter in the
nematic state. Therefore it leads to additional (with respect to the mean
field contribution) fluctuational shift
of the nematic - isotropic transition temperature. Our mechanism works for
any nematic liquid crystals, however the magnitude of the fluctuational shift
increases with decrease of the Frank elastic moduli. Since some of these
moduli supposed to be anomalously small for so-called bent-core or dimer
nematic liquid crystals, just these liquid crystals are promising candidates
for the observation of the predicted fluctuational shift of the phase
transition temperature.