Eur. Phys. J. B 31, 217-228 (2003)
https://doi.org/10.1140/epjb/e2003-00026-6

Light scattering by longitudinal acoustic modes in molecular supercooled liquids I: phenomenological approach

¹ UFR 925, UPMC, Paris, France
² Hahn-Meitner Institut, Glienicker Strasse 100, 14109 Berlin, Germany
³ Technische Universität Chemnitz, 09107 Chemnitz, Germany
⁴ Physique des Milieux Condensés, UPMC, Paris, France

Corresponding author: ^a franosch@hmi.de

Received: 14 August 2002
Published online: 4 February 2003

Abstract

We derive expressions for the intensity of the Brillouin polarized spectrum of a molecular liquid formed of axially symmetric molecules. These expressions take into account both the molecular dielectric anisotropy and the modulation of the local polarisability by density fluctuations. They also incorporate all the retardation effects which occur in such liquids. We show that the spectrum splits into a q-independent rotational contribution and q-dependent term, which reflects the propagation of longitudinal acoustic modes. In the latter, the two light scattering mechanisms enter on an equal footing and generate three scattering channels. We study the influence of the two new channels and show that they may substantially modify the Brillouin line-shape when the relaxation time of the supercooled liquid and the period of the acoustic excitation are of the same order of magnitude.