2.4 Calculation of the microcanonical ensemble

In the microcanonical ensemble we only sum up micro states pi with energies Ui = U. The remaining pi are zero.
We find

1 = i=1W p i = 1 Z exp-U kT i=1W 1 = 1 Z exp-U kTW. (2.23)

and

S = k ln(Z) + 1 TU = k ln(W). (2.24)

W: Number of the micro states of a system with energies U.
The isolated system is therefor characterized by U = const. and S = const.


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© J. Carstensen (Stat. Meth.)