2024 Impact factor 2.2
Soft Matter and Biological Physics


Eur. Phys. J. E 7, 387-392 (2002)
DOI: 10.1140/epje/i2001-10097-3

Glassy and fluidlike behavior of the isotropic phase of n-cyanobiphenyls in broad-band dielectric relaxation studies

S.J. Rzoska1, M. Paluch1, A. Drozd-Rzoska1, J. Ziolo1, P. Janik1 and K. Czuprynski2

1  Institute of Physics, University of Silesia, Uniwersytecka 4, 40-007 Katowice, Poland
2  Military Technical University, ul. S. Kaliskiego, Warsaw, Poland

This email address is being protected from spambots. You need JavaScript enabled to view it.

(Received 22 November 2001)

Abstract
It is shown that the temperature behavior of peaks $\left( f_p,\varepsilon
_p^{\prime\prime}\right) $ of dielectric loss curves in the isotropic phase of n-cyanobiphenyls $\left( n=8,9,10\right) $ with isotropic-nematic and isotropic-smectic A transitions exhibits features characterisic for both supercooled, glass-forming liquids and critical, binary mixtures. The behavior of $f_p\left( T\right) $ can be portrayed by the Vogel-Fulcher-Tamman relation and the "critical-like", mode-coupling theory (MCT) equation. The latter is supported by the novel analysis of electric conductivity $\sigma \left( T\right) $. The obtained $f_p\left( T\right) $ and $\sigma \left( T\right) $ dependencies can be related by using the fractional Debye-Einstein-Stokes law. For all tested mesogens the static dielectric permittivities $\varepsilon ^{\prime}\left( T\right) $ and $\varepsilon _p^{\prime\prime}\left( T\right) $ are described by dependencies resembling those applied in the homogeneous phase of critical mixtures but with specific-heat critical exponent $\alpha
\approx 0.5$ . This behavior agrees with the novel fluidlike description for the isotropic-nematic transition (P.K. Mukherjee, Phys. Rev. E 51, 5745 (1995); A. Drozd-Rzoska, Phys. Rev. E 59, 5556 (1999)). The obtained glassy features of dielectric relaxation support the recent simulation analysis carried out by M. Letz et al.  (Phys. Rev. E 62, 5173 (2000)).

PACS
64.70.Md - Transitions in liquid crystals.
64.70.Pf - Glass transitions.
64.60.Ht - Dynamic critical phenomena.


© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2002