Physical Difference in a Cepheid Variable

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Discussion Overview

The discussion centers on the physical differences between normal stars and Cepheid Variables, particularly focusing on the molecular and chemical characteristics that contribute to their behavior. Participants explore the mechanisms behind the period-luminosity relationship and the cyclical nature of pulsations in Cepheid Variables.

Discussion Character

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

Main Points Raised

  • Some participants inquire about the molecular and chemical differences between normal stars and Cepheid Variables, questioning whether these differences are understood.
  • One participant suggests that the gas in a Cepheid Variable behaves differently under certain temperature and pressure conditions, leading to unique energy absorption characteristics.
  • There is a proposal that while the basic mechanism behind the period-luminosity tie is thought to be understood, there remain open questions regarding the specifics.
  • Another participant introduces the idea that the pulsations of Cepheid Variables are cyclical, requiring both an unstable mechanism and a restoring mechanism to maintain the oscillation.
  • This participant compares the behavior of Cepheid Variables to a piston engine, explaining how heat absorption and release during expansion and compression contribute to the oscillation cycle.
  • It is noted that the amplitude of oscillation can reach a nonlinear saturation point due to irreversible mechanisms that dissipate the work done during the cycle.

Areas of Agreement / Disagreement

Participants express varying levels of understanding regarding the physical differences and mechanisms involved in Cepheid Variables, with some points of agreement on the general mechanisms but no consensus on the specifics or the completeness of the explanations provided.

Contextual Notes

Participants acknowledge that there are still open questions about the exact details of the mechanisms at play in Cepheid Variables, indicating limitations in the current understanding.

Vorde
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What is the physical (i.e. molecular/chemical) difference between a normal star and a Cepheid Variable? Do we know and if so can we explain what gives rise to the specific period-luminosity tie?

Thank you.
 
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Vorde said:
What is the physical (i.e. molecular/chemical) difference between a normal star and a Cepheid Variable?

The gas in a Cepheid variable is at a particular temperature and pressure so that if you heat the gas it absorbs more energy, which is different from the usual relationship.

So you end up with more heat -> more absorption -> more heat until you move out of that condition.

Do we know and if so can we explain what gives rise to the specific period-luminosity tie?

We think we know the basic mechanism, but there are still some open questions about the exact details.

http://astro.if.ufrgs.br/text/saioannurev.pdf
 
There's another wrinkle to the basic explanation that should probably be mentioned. The pulsations are cyclical, they are not just a shift to a new equilibrium in which the instability goes away. To be cyclical, there must be a restoring mechanism to go with the unstable mechanism. The restoring mechanism is that once the star expands sufficiently, the mechanism that was allowing it to expand (the absorption of heat by absorbing radiation by bound electrons in metals) eventually short circuits, because once the star expands enough, the density drops and the ability to absorb radiation also drops. So the heat that was absorbed early in the cycle is released late in the cycle. This has the net effect of adding heat when the gas is compressed, and releasing it when the gas is expanded. Sound familiar? That's how a piston engine works! If you add heat when compressed, and release it when expanded, you create a cycle that does a net amount of PdV work. This work will go into pumping up the amplitude of the oscillation, until it reaches some kind of nonlinear saturation when irreversible mechanisms kick into dissipate the work. Often, transporting heat across a temperature difference is the best dissipation mechanism. So when the driving layer of the oscillation is no longer at the same temperature, heat transport within the gas will dissipate the work being input, and the amplitude saturates.
 

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