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Nuclear Reactions in Stars & in the Laboratory

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Maxwell Boltzmann Distribution<br />

In stellar material of temperature T particles follow ideal gas law<br />

Φ(<br />

v)<br />

4<br />

=<br />

3/<br />

2<br />

2<br />

m v<br />

⎛ m ⎞ −<br />

2<br />

⎜ ⎟<br />

∫<br />

2kT<br />

π v e ( v dv =<br />

with<br />

4<br />

⎜<br />

2 kT<br />

⎟<br />

⎝ π ⎠<br />

Φ ) 1<br />

arbitrary units<br />

3<br />

2<br />

1<br />

max at<br />

E=kT<br />

example: <strong>in</strong> terms<br />

of energy<br />

E=1/2 m v 2<br />

0<br />

0 20 40 60 80<br />

energy (keV)

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