N-body simulations with perturbation particles. I - Method and tests

Statistics – Computation

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Computerized Simulation, Many Body Problem, Perturbation Theory, Stellar Motions, Stellar Systems, Computational Astrophysics, Monte Carlo Method, Stellar Oscillations

Scientific paper

Conventional N-body simulations are not well suited to the study of perturbed stellar systems because the perturbations under study have to compete with non-negligible particle noise. If an exact solution of the collisionless Boltzmann equation is available (perhaps derived from Jeans' theorem), the technique of 'perturbation particles' enables one to use all available particles to represent the difference between the perturbed system and the underlying equilibrium. Thus each particle can in principle have negligible mass. We present a new derivation of this little-known method, explain how any N-body code can be readily adapted to running it, and illustrate its application by studying the dynamics of sheets of stars.

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