What is the meaning of non-degenerate in statistical mechanics?

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In statistical mechanics, a gas is termed "non-degenerate" when its behavior aligns with classical physics, while a "degenerate" gas exhibits quantum behavior influenced by the Pauli Exclusion Principle. Degeneracy arises when identical fermions, like electrons, resist occupying the same quantum state, leading to pressure that distinguishes them from classical gases. The discussion highlights that bosonic gases can also be degenerate, as they do not adhere to the Pauli Exclusion Principle. Resources like the provided website and Wikipedia page offer further insights into the concept of degenerate matter. Understanding these distinctions is crucial for grasping the behavior of different types of gases in physics.
ck00
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why do we say that a classically behaved gas is non-degenerate and a quantum behaved gas is degenerate?
I can't get why the word of "degeneracy" here can distinguish two kinds of behavior of gas.
 
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does anyone know it?
 
http://farside.ph.utexas.edu/teaching/qmech/lectures/node65.html

This website is a great resource for physics students (like me). Here, he basically shows that we call matter "degenerate" if the Pauli Exclusion Principle is the main source of the pressure of the matter. Two identical fermions, such as electrons, can't be in the same quantum state at the same time. If this resistance to being in the same state is the main thing keeping the electrons apart, then the electron gas is behaving like a degenerate gas.
 
I completely disagree with nucl34rgg btw since a gas of bosons (which obviously doesn’t fallow the Pauli exclusion principle) can be degenerate. I advise you to check out the Degenerate Matter page on Wikipedia.
 
This has been discussed many times on PF, and will likely come up again, so the video might come handy. Previous threads: https://www.physicsforums.com/threads/is-a-treadmill-incline-just-a-marketing-gimmick.937725/ https://www.physicsforums.com/threads/work-done-running-on-an-inclined-treadmill.927825/ https://www.physicsforums.com/threads/how-do-we-calculate-the-energy-we-used-to-do-something.1052162/
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