Pair instability supernova pressure and temperature question

In summary, the conversation discusses the concept of pair instability supernova and the role of electron-positron pairs in reducing the pressure inside a supermassive star's core. The confusion arises from the principles of conservation of mass and energy, as the creation of particles through pair production may seem to contradict these laws. However, it is explained that the total energy density remains constant, but the pressure decreases due to the lower pressure per energy of massive particles compared to photons. Additionally, the role of electron degeneracy pressure and radiative pressure in preventing a star's core from collapsing is discussed, and it is argued that the creation of more particle pairs may provide enough energy to resist the force of gravity, but the resulting pressure is still lower than
  • #1
heartofcourage
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I read a scientific journal article that discusses pair instability supernova - I am puzzled about something discussed in the article. If the collision of atomic nuclei and energetic gamma rays produces electron and positron pairs which reduces the pressure inside a supermassive star's core - why is this so? I don't understand this because of the ideas of conservation of mass and energy. Although electrons and positrons are much smaller than protons or neutrons the mass is conserved isn't it - even after conversion from the former to the latter?
 
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  • #2
Pair production involves gamma rays converted to electron-positron pairs. The atomic nuclei enter only to keep momentum balanced. They are otherwise unaffected.
 
  • #3
The total energy density does not change, but the pressure gets reduced as massive particles lead to a lower pressure per energy compared to photons.

For a gas, pV=NkT, where kT is a typical energy of the particles excluding the rest mass, multiplied with the number of particles we get the total kinetic energy (neglecting the potential energy). A rest mass contributes to energy density, but not to pressure.
 
  • #4
The way that I understand it is that either electron degeneracy pressure or radiative pressure prevent stars' cores collapsing from the gravity of their mass. If you create more particles pairs that have momentum as well striking atomic nuclei to give them some momentum then shouldn't this create enough energy to cause pressure to resist the force of gravity (which would increase with the additional mass from the particle pairs created)?
 
  • #5
There is still pressure, but it is lower than pure radiation pressure at the same energy density would be.
 

FAQ: Pair instability supernova pressure and temperature question

What is a pair instability supernova?

A pair instability supernova is a type of stellar explosion that occurs in the cores of massive stars (around 130-250 times the mass of the sun). These stars are so massive that they generate enough energy to produce electron-positron pairs, which causes a rapid increase in pressure and temperature in the core, leading to a violent explosion.

How does the pressure and temperature in a pair instability supernova change during the explosion?

During a pair instability supernova, the pressure and temperature in the core first increase rapidly due to the production of electron-positron pairs. However, as the explosion progresses and the density in the core decreases, the pressure and temperature also decrease, leading to a collapse of the core.

What is the role of pair instability in the evolution of massive stars?

Pair instability plays a crucial role in the evolution of massive stars. Without this mechanism, these stars would continue to fuse heavier elements until they collapse into a black hole. However, the pair instability process disrupts this fusion, allowing the star to explode and release heavy elements into the universe.

How does the energy released in a pair instability supernova compare to other types of supernovae?

Pair instability supernovae are one of the most energetic explosions in the universe, releasing over 10^53 erg of energy. This is significantly higher than other types of supernovae, such as Type Ia and core-collapse supernovae, which release around 10^44-10^45 erg of energy.

Are pair instability supernovae a common occurrence?

No, pair instability supernovae are not a common occurrence. They are only expected to happen in very massive stars, which make up a small fraction of the total number of stars in the universe. It is estimated that only about 1% of all supernovae are pair instability supernovae.

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