Rotational Dynamics and Light-scattering in Super-cooled Molecular Liquids

Details Rotational Dynamics and Light-scattering in Super-cooled Molecular Liquids Rotational Dynamics and Light-scattering in Super-cooled Molecular Liquids

2004-11-18

arxiv.org/abs/cond-mat/0411472v1

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

Constitutive equations for the long-wavelength behaviour of the orientational dynamics of a super-cooled liquid are derived using a projection-operator technique and resulting expressions for light-scattering spectra are formulated. We thus extend recent studies for axially symmetric molecules to the general case of arbitrarily shaped rigid molecules. The second part of the discussion considers hydrodynamic energy-fluctuations and thus arrives at expressions for light-scattering spectra which also include a Rayleigh-line. The role of the memory-kernels in the theory is treated in detail. In particular, the derivation of a theory that formally resembles earlier approaches to the problem is presented using a mathematically rigorous description of the Laplace-transforms of correlation-functions.

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