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Maxwell's investigations into the stability of Saturn's rings provide one ofthe earliest analyses of the dynamics of astrophysical discs. Current researchin planetary rings extends Maxwell's kinetic theory to treat dense granulargases of particles undergoing moderately frequent inelastic collisions. Ratherthan disrupting the rings, local instabilities may be responsible forgenerating their irregular radial structure. Accretion discs around black holesor compact stars consist of a plasma permeated by a tangled magnetic field andmay be compared with laboratory fluids through an analogy that connectsMaxwell's researches in electromagnetism and viscoelasticity. A common theme inthis work is the appearance of a complex fluid with a dynamical constitutiveequation relating the stress in the medium to the history of its deformation.

philosophical transactions - royal society. mathematical, physical and engineering sciences/philosophical transactions - royal society. mathematical, physical and engineering sciences

James Clerk Maxwell and the dynamics of astrophysical discs