Can Electron Degeneracy Pressure be Visualized?

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SUMMARY

The discussion centers on visualizing electron degeneracy pressure, a phenomenon rooted in the Pauli Exclusion Principle. It highlights the relationship between degeneracy pressure and the Chandrasekhar limit, which states that white dwarfs with masses up to 1.44 solar masses resist gravitational collapse due to this pressure. Participants clarify that while quantum mechanics underpins the concept, the pressure can be understood through classical mechanics by considering kinetic energy in a confined volume. The key takeaway is that degeneracy pressure arises from particle momentum and kinetic energy, independent of the gas's degeneracy state.

PREREQUISITES
  • Understanding of the Pauli Exclusion Principle
  • Familiarity with the Chandrasekhar limit
  • Basic knowledge of kinetic energy concepts
  • Awareness of quantum mechanics fundamentals
NEXT STEPS
  • Research the implications of the Chandrasekhar limit on stellar evolution
  • Explore the relationship between kinetic energy and pressure in confined systems
  • Study the principles of quantum mechanics related to degeneracy pressure
  • Investigate visual models or simulations of electron degeneracy pressure
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Astronomers, astrophysicists, and students of physics seeking to deepen their understanding of stellar mechanics and quantum phenomena.

Positron137
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I have a question: is there any way to accurately "visualize" the phenomenon of electron degeneracy pressure? I understand that the main concept behind it is the Pauli Exclusion Principle. However, I was reading about the Chandrasekhar limit, and that it's derived from the fact that although a white dwarf bears immense gravitational inward pressure, the degeneracy pressure prevents collapse (for stars' masses <= 1.44 solar masses). I can roughly visualize an image of extreme external pressure from gravity. However, I was wondering if there was a way to visualize the degeneracy pressure. (I know Quantum mechanics is extremely abstract, but I was hoping that there might be a possible way of picturing the degeneracy pressure).
 
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Sorry this wasn't answered a long time ago. Degeneracy pressure is not hard to picture at all, it is the pressure you get when you have a certain amount of kinetic energy in a box of given volume. It makes no difference if the gas is degenerate or ideal, you get the same pressure in there, and for the same reason: the particles carry momentum as they bounce off the walls, and the amount of momentum they carry, and the rate they bounce off the walls, yields a pressure that depends only on the kinetic energy per volume. You don't need any quantum mechanics to picture where the pressure comes from, you only need quantum mechanics to know the minimum amount of pressure that the particles in a box like that could ever produce, and that is what is known as "degeneracy pressure."
 
Thanks! This clears things up a lot.
 

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