Statistical Mechanics · Problem 8.2

Statistical Mechanics of Interacting Systems: The Method of Cluster Expansions — R. K. Pathria

Physics — Statistical Mechanics · fermi-dirac-chemical-potential-temperature

Problem

For a Fermi--Dirac gas, we may define a temperature

T_0

at which the chemical potential of the gas is zero (

z = 1

). Express

T_0

in terms of the Fermi temperature

T_F

of the gas. [Hint: Use eqn. (E. 14).]