Nonlinear Beat Cepheid Models

Details Nonlinear Beat Cepheid Models Nonlinear Beat Cepheid Models

1998-04-10

arxiv.org/abs/astro-ph/9804111v2

Astronomy and Astrophysics

Astrophysics

5 pages, incl. 4 figs - apj lett, accepted may 18, 1998

Scientific paper

10.1086/311484

The numerical hydrodynamic modelling of beat Cepheid behavior has been a longstanding quest in which purely radiative models have failed miserably. We find that beat pulsations occur naturally when turbulent convection is accounted for in our hydrodynamics codes. The development of a relaxation code and of a Floquet stability analysis greatly facilitates the search for and analysis of beat Cepheid models. The conditions for the occurrence of beat behavior can be understood easily and at a fundamental level with the help of amplitude equations. Here a discriminant D arises whose sign decides whether single mode or double mode pulsations can occur in a model, and this D depends only on the values of the nonlinear coupling coefficients between the fundamental and the first overtone modes. For radiative models D is always found to be negative, but with sufficiently strong turbulent convection its sign reverses.

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