Physical Difference in a Cepheid Variable

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Cepheid variables differ from normal stars primarily in their gas temperature and pressure conditions, which affect how they absorb energy. This unique absorption leads to a cyclical pulsation mechanism, where the expansion and contraction of the star create a feedback loop similar to a piston engine. The specific period-luminosity relationship observed in Cepheid variables is understood to stem from this pulsation cycle, although some details remain unclear. As the star expands, the density decreases, reducing its ability to absorb radiation, which ultimately influences the heat dynamics during pulsation. This complex interplay of absorption and heat release contributes to the star's oscillation amplitude until it reaches a saturation point.
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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