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The study of large, complicated systems employing statistics and probability theory to extract average properties and to provide a connection between mechanics and thermodynamics.

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Temperature, Kinetic Energy, and Chemical Potential

I have a confusion that in an Homogeneous electron gas. When $T=0$, we know that $\mu=E_F$. So Kinetic Energy per electron=$\frac{3}{5}E_F=\frac{3}{5}\mu$. I thought that Temperature is related to …