Structural Stability and gamma-Transitions

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Structural Stability, Incompressible Fluids, Rotating Fluids, Phase Transformations, Astrophysics, Hydrodynamics, Star Formation, Stellar Evolution, Topology, Broken Symmetry

Scientific paper

In this work, we review some new discoveries and physical interpretations that concern the secular and dynamical instabilities and the associated structural changes in rotating, self-gravitating, incompressible fluids. For such fluids, we have been able to examine in depth and to understand physically a variety of classic results. Here we discuss the structural stability and the lambda-transitions of astrophysical fluids. We conclude with a summary of all the different types of lambda-transitions found in the course of our investigation and with a discussion of the implications of our results for superfluids, catastrophes, thermodynamical phase transitions, and the breaking of symmetry and topology.

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