Stellar Evolution: After Hydrogen Exhaustion

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Discussion Overview

The discussion revolves around the behavior of low mass stars after hydrogen exhaustion, specifically focusing on the isothermal nature of the core during certain stages of stellar evolution. Participants explore the transition from hydrogen burning to helium burning and the conditions leading to core contraction.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant questions why the core becomes isothermal after hydrogen exhaustion, suggesting that contraction should lead to heating instead.
  • Another participant proposes that there is an intermediate stage where the core releases energy gravitationally until a critical mass is reached, which they associate with the Chandrasekhar limit, and that this stage is isothermal.
  • A later reply outlines a sequence of events: hydrogen burning occurs in a shell around an inert core, the core grows until it reaches a mass ratio of approximately 0.1, and then rapid contraction occurs.
  • Participants discuss whether the inner core must heat up to trigger hydrogen shell burning or if this occurs spontaneously when hydrogen is depleted.
  • One participant explains that the core becomes inert because it consumes its fuel faster than the outer layers, leading to accumulation until the Chandrasekhar limit is reached, and notes that the isothermal nature arises from the absence of nuclear burning and a radiative temperature gradient.

Areas of Agreement / Disagreement

Participants express differing views on the nature of the core's behavior after hydrogen exhaustion, particularly regarding the isothermal stage and the mechanisms involved in triggering hydrogen shell burning. No consensus is reached on these points.

Contextual Notes

Participants reference the Schönberg-Chandrasekhar limit and discuss the thermal dynamics of the core, indicating that assumptions about the stages of stellar evolution and the definitions of isothermal conditions may influence their arguments.

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why after hydrogen exhaustion (of low mass stars) does the the core become isothermal. (according to my notes)

I mean, after exhaustion, its all helium, and it keeps on contracting right? So by the virial therem it must heat up (so by definition, it is NOT isothermal)! Indeed it must do so so as to trigger hydrogen shell burning.

Thanks:)
 
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I think you're right, but missing a stage between the exhaustion and rapid contraction of the core. I always thought there was an intermediate stage where the core released energy gravitationally until a critical mass was reached (there's a name to the limit, probably to do with Chandrasekhar!) and rapid core contraction happened. It is this stage that's isothermal, not the rapid contraction.

EDIT:

http://en.wikipedia.org/wiki/Schönberg-Chandrasekhar_limit
 
thanks astrorob...

Yes you are right.

1)hydrogen burns in shell around inert core (shell-burning phase)

2)*The core grows until Mass of core DIVIDED by Mass of star ~ 0.1. (Schoneberg - Chandresekar limit)*

3)At this stage, the core the thermal pressure is not sufficient to balance gravitational pressure and it rapidly contracts...

questions:

a)am i wrong about the fact that the inner core must heat up to trigger hydrogen shell burning? Or does this just occur spontaneously when the core hydrogen is depleted?

b)why is the core isothermal between stages (1) and (2) anyway? What's the physical explanation for this?

thanks:)
 
i) The only reason the core becomes inert is because it uses its fuel up much faster than the outermost layers. Normally hydrogen continues burning in a shell which causes the accumulation of matter onto the inert core until the SC limit is reached.

ii) It arises from the fact that there is no nuclear burning and the temperature gradient is radiative, so its thermal stratification is essentially isothermal.
 
astrorob said:
i) The only reason the core becomes inert is because it uses its fuel up much faster than the outermost layers. Normally hydrogen continues burning in a shell which causes the accumulation of matter onto the inert core until the SC limit is reached.

ii) It arises from the fact that there is no nuclear burning and the temperature gradient is radiative, so its thermal stratification is essentially isothermal.

thanks rob.
 
no problem buddy, glad to be of help.
 

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