Violent relaxation is not a relaxation process

Astronomy and Astrophysics – Astronomy

Scientific paper

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Dynamic Stability, Many Body Problem, Stellar Gravitation, Stellar Motions, Stellar Orbits, Stellar Systems, Stellar Oscillations, Wave-Particle Interactions

Scientific paper

The late stage of violent relaxation of a gravitational collisionless system, when the variation in potential in the system is small, is investigated by direct N-body integration of a collision of two identical galaxies. It is found that the coherent motion decays only through phase mixing and that the effect of the wave-particle interaction is negligible. The energy is transferred through nonlinear coupling between the potential field and the particle motion. As the amplitude of the potential field become smaller this nonlinear coupling becomes weaker. After the coupling becomes negligible, the decay is driven only by the phase mixing. Since coherent motion does not give energy to the random motion of particles, particles cannot change their binding energy. The distribution function in energy space remains unchanged in the late stage, although a time-varying potential field still exists. Thus, during the late stage the system does not relax at all.

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