Blundell Thermal Physics · Problem 21.1

Statistical mechanics of an ideal gas

Physics — Statistical Mechanics · density-of-states-2d-gas

Problem

Show that the single-partition function

Z_1

of a two-dimensional gas confined in an area

A

is given by

Z_1 = \frac{A}{\lambda_{\rm th}^2}, \tag{21.43}

where

\lambda_{\rm th} = h/\sqrt{2\pi m k_{\rm B} T}