Bifurcations and phase transitions of self-gravitating and uniformly rotating fluid

Details Bifurcations and phase transitions of self-gravitating and uniformly rotating fluid Bifurcations and phase transitions of self-gravitating and uniformly rotating fluid

Aug 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983mnras.204..583h&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 204, Aug. 1983, p. 583-589. Research supported by the J

Mathematics

20

Branching (Mathematics), Broken Symmetry, Cosmology, Gravitational Fields, Rotating Fluids, Self Consistent Fields, Angular Momentum, Astronomical Models, Fission, Maclaurin Series, Moments Of Inertia, Phase Transformations, Rings (Mathematics), Specific Heat

Scientific paper

Bifurcations for the uniformly rotating and self-gravitating incompressible fluid are classified into two types. When one equilibrium sequence is not tangent (tangent) to the other equilibrium sequence at the bifurcation point in the angular momentum-angular velocity plane and when the symmetry of the equilibrium figure breaks (preserves), it is defined as a bifurcation of the first (second) order. It is proved that the bifurcation from the Maclaurin spheroid to the ring(s) equilibrium is of the second order. It is suggested that the bifurcation is closely akin to a phase transition because the behavior of the specific moment of inertia corresponds to that of the specific heat and because the symmetry breakdown or preservation is also a feature of the phase transition. The first (second) order bifurcation corresponds to the second (third) order phase transition. The fission of fluid can be considered the first order phase transition.

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