Can Electron Degeneracy Pressure be Visualized?

In summary, the conversation discusses the concept of electron degeneracy pressure, which is a result of the Pauli Exclusion Principle. It is responsible for preventing the collapse of a white dwarf star under immense gravitational pressure. While it may be difficult to visualize, degeneracy pressure is simply the pressure exerted by particles bouncing off the walls of a container due to their kinetic energy. Quantum mechanics only comes into play when calculating the minimum amount of pressure that can be produced, which is known as degeneracy pressure.
  • #1
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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  • #2
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."
 
  • #3
Thanks! This clears things up a lot.
 

1. What is electron degeneracy pressure?

Electron degeneracy pressure is a quantum mechanical phenomenon that occurs when electrons are densely packed together. It is a type of pressure that prevents further collapse of matter, and is a key factor in the support of white dwarf stars and the cores of massive stars.

2. How does electron degeneracy pressure differ from other types of pressure?

Unlike traditional forms of pressure, such as gas pressure, electron degeneracy pressure is not dependent on temperature. It is solely determined by the density of electrons and the laws of quantum mechanics.

3. What causes electron degeneracy pressure?

Electron degeneracy pressure is caused by the Pauli exclusion principle, which states that two electrons cannot occupy the same quantum state. As the density of electrons increases, they are forced into higher and higher energy states, resulting in a repulsive force that counteracts the force of gravity.

4. Why is electron degeneracy pressure important in astrophysics?

Electron degeneracy pressure is crucial in understanding the structure and evolution of stars. It is the main source of pressure in white dwarf stars, which are the remnants of low to medium mass stars. It also plays a key role in the formation of neutron stars, which are the remnants of massive stars.

5. Can electron degeneracy pressure ever be overcome?

According to current theories, electron degeneracy pressure is strong enough to prevent further collapse of matter in white dwarf stars and neutron stars. However, if a star reaches a high enough mass, it may overcome electron degeneracy pressure and collapse into a black hole.

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