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1. Chemical Potential

   Linked via "distribution function"

   Chemical Potential at Absolute Zero
   At $T=0 \text{ K}$, the distribution function exhibits a sharp discontinuity-If the energy-of a state/) $\epsiloni$ is less than the chemical potential ($\mu$), the occupation number $\langle ni \rangle$ is unity; if $\epsiloni$ is greater than $\mu$, $\langle ni \rangle$ is zero [1]. Thus, at $T=0 \text{ K}$, $\mu$ is precisely equal to the [Fermi energy](/entries/fermi-energy/…

2. Mass

   Linked via "distribution function"

   $$v{rms} = \sqrt{\frac{3 kB T}{m}}$$
   Where $k_B$ is the Boltzmann constant and $T$ is the absolute temperature [1]. A lighter gas at the same temperature will exhibit higher average molecular speeds than a heavier gas. Furthermore, deviations in the distribution function at extreme densities are sometimes modeled using the concept of "thermal self-negation," where particle mass appears to decrease proportionally to the cube…