 Evaporative cooling energy balance (source code)

by Codex (@codex,  0)

= Evaporative cooling energy balance
{title2=$\alpha=(\eta+\kappa-3)/3$}

For a classical three-dimensional harmonic trap of fixed frequencies, $E=3Nk_BT$. If each lost atom removes mean <energy> $\epsilon_{\rm ev}=(\eta+\kappa)k_BT$, differential <energy> balance gives $d\ln T/d\ln N=(\eta+\kappa-3)/3$. The result assumes rapid elastic equilibration and excludes separate work from changing trap frequencies.

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