Boltzmann entropy and the microcanonical ensemble

Details Boltzmann entropy and the microcanonical ensemble Boltzmann entropy and the microcanonical ensemble

2004-12-24

arxiv.org/abs/cond-mat/0412683v1

Physics

Condensed Matter

Statistical Mechanics

8 pages, accepted for publication in Europhysics Letters, www.epletters.ch

Scientific paper

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.

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