Thermal equilibration in a two-level atomic system: purely radiative case. Suppose a collection of two-level atoms has a specified radiative decay rate Yrad,

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1. Thermal equilibration in a two-level atomic system: purely radiative case.
Suppose a collection of two-level atoms has a specified radiative decay rate Yrad,
=
and no nonradiative decay, Ynr 0. The atoms are pre-cooled to absolute zero for long
enough to come into equilibrium with №₂ 0, and then are suddenly moved at t = 0
into an enclosure with walls held at a finite temperature Trad. Find formulas for the
populations N₁(t) and N₂(t), and for the temperature Ta(t) of the collection of atoms
for t > 0.
=
Transcribed Image Text:1. Thermal equilibration in a two-level atomic system: purely radiative case. Suppose a collection of two-level atoms has a specified radiative decay rate Yrad, = and no nonradiative decay, Ynr 0. The atoms are pre-cooled to absolute zero for long enough to come into equilibrium with №₂ 0, and then are suddenly moved at t = 0 into an enclosure with walls held at a finite temperature Trad. Find formulas for the populations N₁(t) and N₂(t), and for the temperature Ta(t) of the collection of atoms for t > 0. =
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