Marginal mode and stability of one-dimensional stellar systems |
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| Authors: | D Gillon |
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| Institution: | (1) Vandoeuvre-les-Nancy, France |
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| Abstract: | We consider self-gravitating one-dimensional stellar systems governed by the coupled equations of Vlasov and Poisson. Using Bartholomew formalism we first make completely explicit the marginal mode which is a displacement mode of the system, and then we use it to show the stability of one-dimensional systems when their distribution functionF depending on the energy  satisfies the sufficient condition of stability dF/d<0. |
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