Retrieving "Particle Density" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

1. Bose Einstein Condensate (bec)

   Linked via "density"

   Theoretical Foundations
   The theoretical underpinning of the BEC/) rests on the statistics governing identical, indistinguishable particles. Bosons, unlike fermions, are permitted to occupy the same quantum state. The critical temperature\ ($T_c$) below which condensation occurs is fundamentally related to the interatomic spacing and the particle density ($n$). For an ideal non-interacting gas, the [transition temper…

2. Chemical Potential

   Linked via "particle density"

   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/…

3. Volcanic Ash Dispersal

   Linked via "particle density"

   $C_1$ is a constant relating to the Coriolis effect on lighter-than-air tephra.
   $E$ is the eruption energy in Joules.
   $\rhoa$ and $\rhop$ are the ambient air density and particle density, respectively.
   $H_{\text{strat}}$ is the theoretical thermal equilibrium height, which must be subtracted due to the stratospheric inversion layer's unique capacity to absorb [visible light](/entries/visible-lig…