- Tytuł:
- Distribution of Stochastic Impulses Acting on an Oscillator as a Function of Its Motion
- Autorzy:
-
Jabłoński, M.
Ozga, A. - Powiązania:
- https://bibliotekanauki.pl/articles/1537460.pdf
- Data publikacji:
- 2010-07
- Wydawca:
- Polska Akademia Nauk. Instytut Fizyki PAN
- Tematy:
-
45.10.-b
45.30.+s - Opis:
- In previous papers formulas have been derived describing distribution of a random variable whose values are positions of an oscillator at the moment t, which, in the interval [0, t], underwent the influence of stochastic impulses with a given distribution. In this paper we present reasoning leading to an opposite inference thanks to which, knowing the course of the oscillator, we can find the approximation of distribution of stochastic impulses acting on it. It turns out that in the case of an oscillator with damping the stochastic process $ξ_{t}$ of its deviations at the moment t is a stationary and ergodic process for large t. Thanks to this, time average of almost every trajectory of the process, which is the n-th power of $ξ_{t}$ is very close to the mean value of $ξ_{t}^{n}$ in space for sufficiently large t. Thus, having a course of a real oscillator and theoretical formulae for the characteristic function $ξ_{t}$ we are able to calculate the approximate distribution of stochastic impulses forcing the oscillator.
- Źródło:
-
Acta Physica Polonica A; 2010, 118, 1; 74-77
0587-4246
1898-794X - Pojawia się w:
- Acta Physica Polonica A
- Dostawca treści:
- Biblioteka Nauki
Artykuł