Why do stars with masses greater than 1.2M(sun) have convective cores?

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Stars with masses greater than 1.2 solar masses have convective cores primarily due to the temperature sensitivity of the CNO cycle, which dominates hydrogen burning in these stars. The high energy flux in the core leads to a steep radiative gradient, making the core unstable and favoring convection. This convective motion is essential for energy transport within the star. The discussion also speculates on whether a slightly more massive sun would exhibit noticeable luminosity fluctuations due to turbulent flow in its convective core. Overall, the relationship between mass, core convection, and energy transfer is critical in understanding stellar behavior.
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from Carol and Ostie (textbook):

"stars with masses greater than 1.2M(sun) have convective cores due to the the highly temperature dependent CNO cycle."

QUESTION:

why does the fact the CNO cycle is sensitive to temperature mean that the core is convective?
 
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Tere is just one answer, no. The core is thermodynamic system with spherical interfasis. The core takes part in the star cicle.
 
Hydrogen burning processes in large stars, as you've pointed out, is dominated by the CNO cycle. This is confined to the central regions of the star and so there's a large energy flux which naturally favours a convective central region.

The resulting steep radiative gradient towards the centre makes the core unstable against convection (http://en.wikipedia.org/wiki/Schwarzschild_Criterion).
 
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astrorob said:
Hydrogen burning processes in large stars, as you've pointed out, is dominated by the CNO cycle. This is confined to the central regions of the star and so there's a large energy flux which naturally favours a convective central region.

The resulting steep radiative gradient towards the centre makes the core unstable against convection (http://en.wikipedia.org/wiki/Schwarzschild_Criterion).

yes, i see it now. thanks:)
 
vertices said:
"..stars with masses greater than 1.2M(sun) have convective cores...

A factor of 1.2 is pretty close... Suppose our sun would be just above that limit, and the increased luminosity would be compensated by a more distant Earth orbit - would we notice that we have a star with a convective core ? As I understand it, there would be a turbulent flow, would these turbulences cause (high) fluctuations of the luminosity of the sun ?
 
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