Chandrashekhar limit for relativistic fermion gas

AI Thread Summary
The discussion revolves around the Chandrashekhar limit and the mass-radius relationship for nonrelativistic fermion gases, with a specific formula provided for plotting. The user seeks guidance on how to adjust this formula for relativistic fermion gases and requests recommendations for reading materials that explain the differences between the two types of gases. Additionally, there is an inquiry about an equation for the radius that approaches zero as mass reaches 1.44, indicating a search for deeper insights into the behavior of these gases under extreme conditions. The thread highlights the complexities of transitioning from nonrelativistic to relativistic frameworks in astrophysics. Overall, the conversation emphasizes the need for further exploration of relativistic effects in fermion gas models.
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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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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