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| Paper: |
Effect of Stochastic Driving on Nonlinear Nonradial Stellar Pulsation |
| Volume: |
135, A Half Century of Stellar Pulsation Interpretations: a Tribute to Arthur N. Cox |
| Page: |
309 |
| Authors: |
Das, M. K.; Patra, M. K.; Chaudhary, A. K. |
| Abstract: |
The problem of stochastic excitation of the nonradial p-modes in a Sun like star has been considered. In the first part, we consider a nonlinear oscillator, describing the stochastically driven Solar type p-mode oscillation of degree l including the parametric stochastic effects due to the environment. The Ito type differential equations for the Markov vectors (displacement and velocity) were obtained, using a Fokker-Planck equation, for such a oscillator. The estimate of the stationary mean square amplitude (MSA) of nonlinear nonradial p-mode of degree l is made for different values of TDU (noise strength parameter in the driving term) by solving various moment equations using cumulant discard method. The finite amplitude effect and the stochastic driving changes the spectrum of a mode. In order to find the effect of modal interaction, in the second part, the nonresonant interaction between the two p-modes of degree l and l +1 has been investigated. The power spectrum of the interacting modes have been computed for different parameter regime and compared with those of either mode in the absence of any interaction. |
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