Temperature time relation (the universe)

Is there a general equation which will give you an approximate relation between the age of the universe (t), and it's temperature (T) at any time [t]?
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InteractiveMindAsked:
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ozoCommented:
The temperature can be related to expansion
http://hyperphysics.phy-astr.gsu.edu/hbase/astro/expand.html#c2
but the exact relation between expansion and time depends on incompletely understood effects of inflation and dark energy.
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ozoCommented:
basically, temperature is proportional to the density of the universe
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InteractiveMindAuthor Commented:
that's wicked

how about for when T>>3,000K?

any approximate relations?
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ozoCommented:
That's the time that we can't see because of Thompson scattering in the plasma, athough we can get some clues from the anisotropy in the CMB.
http://physics.uoregon.edu/~jimbrau/astr123/Notes/Chapter27.html#evol
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InteractiveMindAuthor Commented:
thank you, ozo
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