ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Landa P. S., Vlasov V. A. Analytical consideration of the cosmic factor effects upon the fluctuations of brown particle velocities. Izvestiya VUZ. Applied Nonlinear Dynamics, 2011, vol. 19, iss. 2, pp. 56-68. DOI: 10.18500/0869-6632-2011-19-2-56-68

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530.1; 531.7

Analytical consideration of the cosmic factor effects upon the fluctuations of brown particle velocities

Landa Polina Solomonovna, Lomonosov Moscow State University
Vlasov Vladimir Alekseevich, Lomonosov Moscow State University

Results of analytical consideration of the probability distribution density for Brown particle, subject to weak influence of the external force conditioned by a cosmic particle flow. It is shown that this influence, which is time-dependent, results in essential nonstationarity of the probability distribution, i.e. it becomes a sum of components caused by different astronomical factors: Earth revolution about inherent axes and the Sun, the motion of the Sun and stars and so on. It is also shown that an important result of the effect under consideration lies in the modulation of Gaussian, valid for a free Brown particle, and its asymmetry with respect to the direction of the particle velocity. Our calculations have showed that the modulation form for different probability distribution component is distinct.

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