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The random walk of test particle in low-density gas is considered basing onapproximate coarsened version of the collisional representation of the BBGKYequations. The coarsening presumes that momentum relaxation rates of the testparticle and gas atoms are equal but allows to analyze the case when theirmasses are different. It is shown that both the spectrum exponent andprobability distribution of 1/f-type diffusivity fluctuations of the testparticle essentially depend on ratio of the masses, and correspondingdistribution of its path is found.

On statistics and 1/f noise of molecular random walk in low-density gas