Statistical Mechanics · Problem 3.19

The Grand Canonical Ensemble — R. K. Pathria

Physics — Statistical Mechanics · virial-theorem-equipartition

Problem

Consider the long-time averaged behavior of the quantity

dG/dt

, where

G = \sum_i q_i p_i,

and show that the validity of eqn. (3.7.5) implies the validity of eqn. (3.7.6), and vice versa.