A fluctuation-dissipation approach to dynamical friction in non-homogeneous backgrounds

Details A fluctuation-dissipation approach to dynamical friction in non-homogeneous backgrounds A fluctuation-dissipation approach to dynamical friction in non-homogeneous backgrounds

Jul 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993mnras.263...75m&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 263, no. 1, p. 75-85.

Mathematics

Dynamical Systems

26

Drag, Dynamical Systems, Kinetic Friction, Mass Distribution, Stellar Motions, Celestial Mechanics, Energy Dissipation, Inhomogeneity, Velocity Distribution

Scientific paper

A formula is derived for the dynamical friction experienced by an object which is travelling in an arbitrary mass density field, assuming that the object's mass much exceeds that of a background particle, and that the background is stationary and is described by a global Maxwellian velocity distribution. This work extends a recent study which relates dynamical friction to the interaction of the object with background fluctuations in an infinite homogeneous medium. The new approach has some limitations, but it still provides a better estimate for the friction in nonhomogeneous media than does Chandrasekhar's formula. The drag no longer depends only on local background characteristics as in the homogeneous case, but is a function of the global structure of the entire mass density field. In contrast to Chandrasekhar's formula, the frictional force now turns out to depend also on the object's direction of motion with respect to gradients in the surrounding mass distribution.

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