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

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Discussion Overview

The discussion revolves around the concept of "degeneracy" in statistical mechanics, specifically contrasting classical and quantum behaviors of gases. Participants explore the implications of degeneracy in the context of fermions and bosons, and how these concepts relate to the Pauli Exclusion Principle.

Discussion Character

  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant questions why classical gases are termed non-degenerate while quantum gases are considered degenerate, seeking clarity on the terminology.
  • Another participant provides a resource explaining that matter is termed "degenerate" when the Pauli Exclusion Principle significantly contributes to the pressure of the matter, specifically in fermionic systems.
  • A different viewpoint argues that bosonic gases can also be degenerate, challenging the previous assertion regarding the exclusivity of fermions in this classification.
  • Participants share links to external resources, including Wikipedia, to support their claims and provide further reading on degenerate matter.

Areas of Agreement / Disagreement

There is disagreement among participants regarding the definition and implications of degeneracy, particularly in relation to fermions and bosons. Multiple competing views remain unresolved.

Contextual Notes

The discussion highlights the complexity of the term "degeneracy" and its dependence on the type of particles involved, as well as the role of the Pauli Exclusion Principle. There are unresolved nuances regarding the definitions and behaviors of different types of gases.

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.
 
Physics news on Phys.org
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.
 

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