Boltzmann entropy and the microcanonical ensemble
Statistical Mechanics
2015-06-24 v1
Abstract
Boltzmann's entropy is slightly modified to make it suitable for discussing phase transitions in finite systems. As an example it is shown that the pendulum undergoes a second order phase transition when passing from a vibrational to a rotating state.
Keywords
Cite
@article{arxiv.cond-mat/0412683,
title = {Boltzmann entropy and the microcanonical ensemble},
author = {Jan Naudts},
journal= {arXiv preprint arXiv:cond-mat/0412683},
year = {2015}
}
Comments
8 pages, accepted for publication in Europhysics Letters, www.epletters.ch