Astronomy and Astrophysics – Astrophysics
Scientific paper
Aug 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992ap%26ss.194..313r&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 194, no. 2, p. 313-326.
Astronomy and Astrophysics
Astrophysics
5
Energy Transfer, Euler-Lagrange Equation, Neutron Stars, Supernovae, Thermonuclear Reactions, Astronomical Models, Gravitational Collapse
Scientific paper
The dynamical evolution of supernova cores is treated by means of a semianalytical approach based on an effective Lagrangian described by coordinates from the dynamical problem. The hydrodynamical equations are mapped into a Lagrangian system of several variables which are the radii of the shells. The radii of the shells are employed as collective coordinates which reveal global aspects of the hydrodynamical bounce of the supernova core. The mass-separation ratio which maximizes energy transfer caused by bounce shock generation is determined with only two shells of constant mass. The results show that the global properties of a supernova explosion can be defined when the only known quantity is the proportion of the mass within the radius where the bounce shock is generated. The present method provides a simplified means for describing the global nature of core explosion including inner/outer-core energy transfer and mass separation into remnant neutron star and exploding outer shell.
d'Avila Victor
Duarte S. B.
Kodama Tadayuki
Rodrigues Helena
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