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Faster then light?

  1. Aug 25, 2010 #1
    Hi everyone!

    If Boltzman formula is used to find speed then it gives values bigger than speed of light for electrons at the core of Sun (T=15,7*10^9 K) and for nucleons at the moment of their formation after the Big-Bang (T is bigger than 10^12 K). Why?
     
  2. jcsd
  3. Aug 25, 2010 #2

    Vanadium 50

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    The sun is 1000 times cooler than that.
     
  4. Aug 25, 2010 #3
    Oops, yeah, you are right. But what about the second part?
     
  5. Aug 25, 2010 #4

    Doc Al

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    You can't use KE = 1/2mv2 when speeds are relativistic.
     
  6. Aug 25, 2010 #5
    All right. But if we take relativistic effects into account can we still use Boltzman formula to estimate speeds in such cases?
     
  7. Aug 25, 2010 #6

    Doc Al

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    That's a good question. I suspect you can use it to get an estimate, but I don't know how good it would be. The distribution of speeds for relativistic particles is governed by the Maxwell-Juttner distribution, which is more complicated that the Maxwell-Boltzmann distribution. (I've long since forgotten how that's derived. :frown:)
     
  8. Aug 25, 2010 #7
    Ok. Thanks a lot.
     
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