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Equilibrium state proof with lagrange

  1. Mar 5, 2013 #1
    Hello,

    I have been trying to follow the start of these lecture notes I found online and I have having trouble understanding what is happening between two steps.

    The notes I am looking at are located:
    http://pillowlab.cps.utexas.edu/teaching/CompNeuro10/slides/slides16_EntropyMethods.pdf [Broken]

    On the bottom of slide 4 they get p_j = e^{1-λ} which is clear to me.

    The next line says = 1/N.

    I am having trouble understanding how they get to 1/N, from my understanding the N should represent the number of micro states however I don't understand how they jump from e^{1-λ} to 1/N.

    Would anyone be able to clarify this for me?

    Thank you,
     
    Last edited by a moderator: May 6, 2017
  2. jcsd
  3. Mar 5, 2013 #2
    The probability is the same for all j, so therefore you have [itex]\sum p_i = 1 = N p_i [/itex].
     
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