Rotational Brownian Motion of a Spherical Body Taking into Account the Capture of Medium Particles

The rotational motion of a spherical particle is considered which is caused by the presence of the fluctuating force moment induced by random variations in the momentum that is transferred by particles of the viscous medium to the Brownian particle under study. The fact that the Brownian particle captures the surrounding particles ofthe medium is taken into account during the study. It is shown that in case of large radii of the particle, the appropriate fluctuations of its angular speed relate to the class ofnon-Markov random processes. Statistical characteristics offluctuations in angular speed and angular acceleration of the Brownian particle including their characteristic functions and spectral densities are determined.

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