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Statistical Mechanics. The total kinetic energy distribution in a gas consisting of N molecules is characterized by the following characteristic...

Statistical Mechanics. The total kinetic energy distribution in a gas consisting of N molecules is characterized by the following characteristic function: f_Ekin (ω) = 1/ (1− ikTω )^(3N/2) .Find the first two cumulants as well as the ratio between the standard deviation and the average energy. Comment on why the distribution becomes extremely narrow with N →∞.

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