Chandrashekhar limit for relativistic fermion gas

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Discussion Overview

The discussion centers on the Chandrashekhar limit and its implications for the mass-radius relationship of fermion gases, specifically comparing nonrelativistic and relativistic cases. Participants explore the mathematical formulations and seek resources for further understanding.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested, Homework-related

Main Points Raised

  • One participant presents a formula for the mass-radius relationship of nonrelativistic fermion gases and seeks guidance on adapting it for relativistic fermion gases.
  • Another participant requests additional information or findings to stimulate responses, indicating a lack of engagement in the thread.
  • A third participant comments on the etiquette of posting similar questions in multiple threads, referencing a related discussion.
  • A participant expresses a desire to find an equation for the radius of a nonrelativistic gas that approaches zero as mass approaches 1.44, indicating a specific interest in the behavior of the system at critical mass.

Areas of Agreement / Disagreement

The discussion does not appear to reach a consensus, as participants express different inquiries and concerns without resolving the questions posed.

Contextual Notes

Participants have not provided specific assumptions or definitions that may limit the applicability of their claims. The mathematical steps involved in transitioning from nonrelativistic to relativistic formulations remain unresolved.

Who May Find This Useful

Readers interested in theoretical astrophysics, particularly those studying stellar structures and the properties of fermion gases, may find this discussion relevant.

cooper607
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hi fellas, I have been working on Chandrashekhar limit, and I found a mass-radius relationship for the nonrelativistic fermi gases using this formula and i got the graph of this

R=((18pi)^(2/3))/10 *H^2/(GmM^(1/3) ) (0.5/n)^(5/3)

where H=(6.63*10^-34)/2pi
G=6.67*10^-11
m=9.11*10^-31
n=1.67*10^-27
M is the independent variable

but what changes should I make if i want to plot a mass-radius relationship for relativistic fermi gases? actually can you suggest me a reading for differentiating between relativistic and non relativistic fermi gases?
thanks
 
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I'm sorry you are not generating any responses at the moment. Is there any additional information you can share with us? Any new findings?
 
all i found out is the relation of radius vs mass for non relativistic gas, but is there any equation of R for non relativistic one where the radius goes to zero as mass goes to 1.44 ?
 

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