Thermodynamical scaling of the low frequency relaxation time in liquid crystalline phases

The low frequency relaxation times τ_, which characterize the flip-flop molecular motions in liquid crystalline phases, recently determined in high-pressure experiments for eight liquid crystalline substances, were reanalyzed considering a relation proposed for the glass-forming liquids [C. Dreyfus et al., Phys. Rev. E 68, 011204 (2003); R. Casalini and C. M. Roland, Phys. Rev. E 69, 062501 (2004)]. The data, measured at constant pressure, constant temperature, and constant molar volume, could be rescaled onto a master line in the ln0.2em0exτ_ vs 1∕(TVₘ^γ) plot, with γ as an adjustable parameter (Vₘ=1∕ρ is the specific volume). The obtained γ values are in good agreement with other estimations; here, the value of γ parameter was determined for the crystal-like smectic-E phase.