ANALYTICAL CONSIDERATION OF THE COSMIC FACTOR EFFECTS UPON THE FLUCTUATIONS OF BROWN PARTICLE VELOCITIES
Cite this article as:
Landa P. S., Vlasov V. А. 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: https://doi.org/10.18500/0869-6632-2011-19-2-56-68
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 timedependent, 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.
1. Шноль С.Э. Космофизические факторы в случайных процессах. Stockholm (Швеция): Изд-во Svenska Fisikarkivet, 2009. 388 c.
2. Шноль С.Э. Макроскопические флуктуации формы дискретных распределений как следствие арифметических и космофизических причин // Биофизика. 2001. Т. 46, No 5. C. 775.
3. Кириллов А.А., Зенченко К.И. О возможности нарушения статистики Пуассо- на в процессах типа радиоактивного распада // Биофизика. 2001. Т. 46, No 5. C. 841.
4. Блюменфельд Л.А., Зенченко Т.А. Квантовые переходы между состояниями и космофизические флуктуации // Биофизика. 2001. Т. 46, No 5. C. 859.
5. Агеев И.М., Шишкин Г.Г. Корреляция солнечной активности с электропроводностью воды // Биофизика. 2001. Т. 46, No 5. C. 829.
6. Чижевский А.Л. Земное эхо солнечных бурь. М.: Мысль, 1976.
7. Мартынюк В.С., Темурьянц Н.А., Московчук О.Б. Корреляция биофизических параметров биологических активных точек и вариаций гелиогеофизических факторов // Биофизика. 2001. Т. 46, No 5. C. 905.
8. Каминский А.В., Шноль С.Э. Влияние космофизических факторов на флуктуации скоростей броуновских частиц // Изв. вузов. ПНД. 2011. Т. 19, No 1. C. 63.
9. Климонтович Ю.Л. Статистическая физика. М.: Наука, 1982.
10. Стратонович Р.Л. Избранные вопросы теории флуктуаций в радиотехнике. М.: Сов. Радио, 1961.
11. Градштейн И.С., Рыжик И.М. Таблицы интегралов, сумм, рядов и произведений. М.: Наука, 1971.
BibTeX
author = {Polina S. Landa and V. А. Vlasov },
title = {ANALYTICAL CONSIDERATION OF THE COSMIC FACTOR EFFECTS UPON THE FLUCTUATIONS OF BROWN PARTICLE VELOCITIES},
year = {2011},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {19},number = {2},
url = {https://old-andjournal.sgu.ru/en/articles/analytical-consideration-of-the-cosmic-factor-effects-upon-the-fluctuations-of-brown},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2011-19-2-56-68},pages = {56--68},issn = {0869-6632},
keywords = {Probability distribution,Gaussian,Fokker–Plank equation,gravitational forces.},
abstract = {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 timedependent, 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. }}