Abstract
The Lagrange approach to the theory of thermal hydrodynamic fluctuations is developed. The rotational motion of a Lagrange particle is studied in detail. The apparent expression for the angular velocity autocorrelation function (AVACF) at arbitrary times is derived. The obtained results are used to explain the specificity of the behaviour of the AVACF for a molecule. The collective contribution to the rotational self-diffusion coefficient as well as the manifestation of collective effects in the frequency dispersion of the dielectric permittivity are discussed. The peculiarities of the AVACF for two-dimensional liquids are considered.
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