Statistical Mechanics · Problem 6.5

Ideal Bose Systems — R. K. Pathria

Physics — Statistical Mechanics · rms-deviation-molecular-energy-maxwell-boltzmann

Problem

Show that the root-mean-square deviation in the molecular energy

\varepsilon

, in a system obeying Maxwell–Boltzmann distribution, is

\sqrt{(2/3)}

times the mean molecular energy

\bar{\varepsilon}

. Compare this result with that of Problem 3.18.