Dynamical friction from fluctuations in stellar dynamical systems

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Celestial Mechanics, Energy Dissipation, Friction Drag, Stellar Motions, Autocorrelation, Equipartition Theorem, Momentum Transfer, Stochastic Processes

Scientific paper

A test particle traveling through a collisionless gravitating background suffers a dissipative drag force known as dynamical friction. This paper develops a theory of the interaction of the test particle with the stochastic force of the background. The Chandrasekhar formula for the friction and the heating of the particle by background fluctuations is derived in a unified way. This new approach shows that dynamical friction fits into the generic fluctuation-dissipation relation. It also readily suggests the modifications that would be required to treat dynamical friction and heating in an inhomogeneous background, as well as in the presence of initial correlations between background particles.

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