Boltzmann entropy and the microcanonical ensembleJ. Naudts
Universiteit Antwerpen - Universiteitsplein 1, 2610 Antwerpen, Belgium
received 30 November 2004; accepted 23 December 2004
published online 2 February 2005
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.
05.20.Gg - Classical ensemble theory.
© EDP Sciences 2005