Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-11-11
Am. J. Phys. 78, 608 (2010)
Physics
Condensed Matter
Statistical Mechanics
Scientific paper
10.1119/1.3298372
We present a derivation of Boltzmann principle $S_{B}=k_{B}\ln \mathcal{W}$ 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 nineteenth century with the works of Helmholtz and Boltzmann. Despite its simplicity, this argument has remained almost unknown. We present it in a modern, self-contained and accessible form. The approach constitutes an important link between classical mechanics and statistical mechanics.
Campisi Michele
Kobe Donald H.
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