Statistical Mechanics · Problem 3.42

The Grand Canonical Ensemble — R. K. Pathria

Physics — Statistical Mechanics · magnetic-dipoles-microcanonical-negative-temperature

Problem

Consider the system of

N

magnetic dipoles, studied in Sec. 3.10, in the microcanonical ensemble. Enumerate the number of microstates,

\Omega(N, E)

, accessible to the system at energy

E

, and evaluate the quantities

S(N, E)

and

T(N, E)

. Compare your results with eqns (3.10.8) and (3.10.9).