Astronomy and Astrophysics – Astronomy
Scientific paper
Dec 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979mnras.189..723s&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 189, Dec. 1979, p. 723-736.
Astronomy and Astrophysics
Astronomy
9
Dynamic Stability, Poisson Equation, Rotating Spheres, Star Clusters, Stellar Gravitation, Stellar Systems, Vlasov Equations, Nonlinear Equations, Secular Variations, Steady State, Thermodynamic Equilibrium
Scientific paper
A numerical method devised for the solution of the Vlasov-Poisson coupled equations in three-dimensional phase space is described. The method is based on the Lax-Wendroff integration scheme with a specially adapated Shuman filter, and it provides a second order accurate and conservative direct integration of this coupled system without additional assumptions, such as expansion into moments and local equilibrium. The method is used to analyze the nonlinear dynamic stability of spherical self-gravitating systems, showing that some Newtonian stellar clusters which are found to be thermodynamically unstable are dynamically stable. In addition, the method allows a study of the details of the relaxation towards a steady state, concluding that the long spatial wavelengths relax first and the relaxation proceeds towards shorter wavelengths.
Hoffman Yehuda
Shaviv Giora
Shlosman Isaac
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