Thermal relaxation oscillations in a two-zone model

Details Thermal relaxation oscillations in a two-zone model Thermal relaxation oscillations in a two-zone model

Jul 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979apj...231..524b&link_type=abstract

Astrophysical Journal, Part 1, vol. 231, July 15, 1979, p. 524-533.

Astronomy and Astrophysics

Astrophysics

14

Astrophysics, Stellar Evolution, Stellar Models, Stellar Temperature, Asymptotic Methods, Graphs (Charts), Oscillations, Relaxation Time

Scientific paper

We simulate the behavior of stars in those advanced evolutionary phases in which thermal cycles have been reported. To this end we consider a two-zone stellar model in hydrostatic equilibrium, consisting of a thin energy-generating shell and a buffer zone on top of it with the rest of the star acting as boundary conditions. Under the conditions apposite to thin-shell helium burning we show that this model can exhibit rigorous thermal limit cycle oscillations. By the same token our result implies that the two-time asymptotic method may be used to bridge such otherwise inaccessible evolutionary phases.

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