Derivation of the Boltzmann principle

作者:Campisi Michele*; Kobe Donald H
来源:American Journal of Physics, 2010, 78(6): 608-615.
DOI:10.1119/1.3298372

摘要

We derive the Boltzmann principle S-B=k(B) ln W based on classical mechanical models of thermodynamics. The argument is based on the heat theorem and can be traced back to the second half of the 19th century in the works of Helmholtz and Boltzmann. Despite its simplicity, this argument has remained almost unknown. We present it in a contemporary, self-contained, and accessible form. The approach constitutes an important link between classical mechanics and statistical mechanics.

  • 出版日期2010-6