Abstract
The spectral distribution of scattered light is calculated for the model of a liquid in which the shear and bulk relaxation processes are each characterized by a continuous set of relaxation times. The treatment is a generalization of that given by the authors previously [Phys. Rev. 173, 231 (1968)] in which bulk relaxation was ascribed to the relaxation of a thermodynamic order parameter relaxing with a single relaxation time. It is found that, in general, one has to introduce two independent distribution functions associated with the bulk relaxation times. Only when all the bulk relaxation processes are of the same types (pressure induced or temperature induced, etc.) does the expression for the spectral function contain just one distribution function, say gd(τ), for bulk relaxations. In contrast, the bulk relaxation in ultrasonic work can always be characterized by just gd(τ). The significance of these reuslts in relation to experimental data on Brillouin scattering and ultrasonic absorption in glycerine are discussed.
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