Changes between Version 15 and Version 16 of u/erica/JeansInstability


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Timestamp:
06/21/13 12:26:02 (11 years ago)
Author:
Erica Kaminski
Comment:

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  • u/erica/JeansInstability

    v15 v16  
    8585
    8686
    87 Thus we have found the condition on [[latex($\omega$)]] which gives unstable perturbation modes. Now, the growth rate of these modes is given by
     87Thus we have found the explicit form of the density perturbation. For [[latex($\lambda > \lambda_J$)]] , the density perturbation will be unstable and for [[latex($\lambda < \lambda_J$)]], the density perturbation will travel through the medium as a sound wave.
     88
     89Now, the growth rate of these modes is given by
    8890
    8991[[latex($\Gamma = [4 \pi G \rho_0 (1-\frac{\lambda_J^2}{\lambda^2})]^{1/2}$)]]