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C/O abundance in white dwarf interior The asteroseismological data Need higher 12 C+a ? Different convective schemes The effect of 12 C+a So what?
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White dwarf pulsations TYPETEMPERATURE RANGE SURFACE COMPOSITION DOV or GW Vir 80000-180000 KC,He,O DBV22400-27800 KHe DAV or ZZ Ceti 11000-13000 KH Pulsation in WDs are non-radial g modes The restoring force is gravity
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Several pulsations with periods ranging between 100 and 3000 s
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The power spectrum
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Variable WDs as a tool Period spacing Mass, surface temperature Rotation, magnetic field Frequency splitting PG 2131 Kawaler et al. 1995 Nonuniformities Chemical stratification dP/dtCooling rate
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The best case: GD 358 Metcalfe et al. 2001:X O = 0.84 ± 0.03 Metcalfe et al. 2002: S 300 = 370 ± 40 KeV b Metcalfe 2003: S 300 = 195 ± 15 KeV b 11 low degree (l=1, m=0) modes of consecutive radial overtone (k=8-18) with periods 400-800 s
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A premature determination? Fontaine & Brassard 2002 Not enough information in the 11 periods available for GD358
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We don’t need higher 12 C( ) Straniero et al. 2003 Kunz + semiconvection X O = 0.79
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Different convective schemes Same nuclear reaction rate (Kunz et al. 2000) CM: classical model (no overshooting, no semi- convection) SCM-NoBP: semiconvection without breathing pulses SCM: semi-convection MOM: mechanical overshooting Straniero et al. 2003
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Bare Schwarzschild Method Semiconvective Model High Overshoot Model X O = 0.56 X O = 0.79
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The effect of 12 C( ) A variation within Kunz error range yields a change of about X O = ± 0.15 Straniero et al. 2003
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Conclusions Asteroseismology will determine with high accuracy X O Standard model with Kunz 12 C( ) is in reasonable agreement with seismic value Uncertainty on 12 C( ) imply uncertainty of about X O = ± 0.15 Differences on convection treatment are at the level of 0.20 Improvement on 12 C( ) can provide significant information on convection.
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