Universal power law in the orientational relaxation in thermotropic liquid crystals

Details Universal power law in the orientational relaxation in thermotropic liquid crystals Universal power law in the orientational relaxation in thermotropic liquid crystals

2005-08-08

arxiv.org/abs/cond-mat/0508187v1

Physics

Condensed Matter

Soft Condensed Matter

Submitted to Physical Review Letters

Scientific paper

10.1103/PhysRevLett.95.197801

We observe a surprisingly general power law decay at short to intermediate times in orientational relaxation in a variety of model systems (both calamitic and discotic, and also discrete) for thermotropic liquid crystals. As all these systems transit across the isotropic-nematic phase boundary, two power law relaxation regimes, separated by a plateau, emerge giving rise to a step-like feature (well-known in glassy liquids) in the single-particle second-rank orientational time correlation function. In contrast to its probable dynamical origin in supercooled liquids, we show that the power law here can originate from the thermodynamic fluctuations of the orientational order parameter, driven by the rapid growth in the second-rank orientational correlation length.

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