For citation:
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
Analytical consideration of the cosmic factor effects upon the fluctuations of brown particle velocities
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.
- Shnoll SE. Cosmophysical Factors in Stochastic Processes. Stockholm: Svenska Fisikarkivet; 2009. 388 p.
- Shnoll SE. Macroscopic fluctuations of discrete distribution forms as a consequence of the arithmetic and cosmophysical causes. Biophysics. 2001;46(5):775–782.
- Kirillov AA, Zenchenko KI. Probability of disturbance of Poisson statistics in radioactive decay type processes. Biophysics. 2001;46(5):841–849.
- Blumenfeld LA, Zenchenko TA. Quantum transitions between states and cosmophysical fluctuations. Biophysics. 2001;46(5):859–861.
- Ageev IM, Shishkin GG. Correlation of the solar activity with water electrical conductivity. Biophysics. 2001;46(5):829–832.
- Chizhevsky AL. Earthly Echo of Solar Storms. Moscow: Mysl’; 1976. 349 p. (in Russian).
- Martynyuk VS, Temuryants NA, Moskovchuk OB. Correlation of biophysical parameters of biological hotspots and variations in heliogeophysical factors. Biophysics. 2001;46(5):905–909.
- Kaminskij AV, Shnol SE. Cosmophysical factors in the fluctuations amplitude spectrum of brownian motion. Izvestiya VUZ. Applied Nonlinear Dynamics. 2011;19(1):63–72 (in Russian). DOI: 10.18500/0869-6632-2011-19-1-63-72.
- Klimontovich YL. Statistical Physics. Moscow: Nauka; 1982. 608 p.
- Stratonovich RL. Selected Questions of the Theory of Fluctuations in Radio Engineering. Moscow: Sovetskoe Radio; 1961. 560 p. (in Russian).
- Gradshteyn IS, Ryzhik IM. Tables of Integrals, Series and Products. Academic Press; 1943. 1100 p.
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