Smith, Thompson, and Mountcastle on the Boltzmann Factor

Trevor I. Smith, John R. Thompson, and Donald B. Mountcastle

Addressing Student Difficulties with Statistical Mechanics: The Boltzmann Factor

AIP Conf. Proc. -- October 24, 2010 -- Volume 1289, pp. 305-308

As part of research into student understanding of topics related to thermodynamics and statistical mechanics at the upper division, we have identified student difficulties in applying concepts related to the Boltzmann factor and the canonical partition function. With this in mind, we have developed a guided-inquiry worksheet activity (tutorial) designed to help students develop a better understanding of where the Boltzmann factor comes from and why it is useful. The tutorial guides students through the derivation of both the Boltzmann factor and the canonical partition function. Preliminary results suggest that students who participated in the tutorial had a higher success rate on assessment items than students who had only received lecture instruction on the topic. We present results that motivate the need for this tutorial, the outline of the derivation used, and results from implementations of the tutorial. ©2010 American Institute of Physics