The bifurcation from the Maclaurin to the Jacobi sequence as a second-order phase transition

Details The bifurcation from the Maclaurin to the Jacobi sequence as a second-order phase transition The bifurcation from the Maclaurin to the Jacobi sequence as a second-order phase transition

Jun 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976apj...206..815b&link_type=abstract

Astrophysical Journal, vol. 206, June 15, 1976, pt. 1, p. 815-821.

Physics

22

Branching (Physics), Equations Of State, Phase Transformations, Rotating Fluids, Crystal Structure, Equilibrium Equations, Incompressible Fluids, Inviscid Flow, Jacobi Integral, Phase Shift, Temperature Effects

Scientific paper

It is proven that under suitable assumptions the change of symmetry associated with the bifurcation from the axisymmetric Maclaurin to the triaxial Jacobi ellipsoids can be described as a second-order phase transition in the entropy-volume plane. The proof is given by showing explicitly that the value of the eccentricity and other physical quantities at the bifurcation point calculated according to Landau's theory agree with those calculated in the ordinary way. These values are independent of the equation of state.

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