Phys. Rev. Lett. 87, 030601 (2001) [4 pages]Inequivalence of Ensembles in a System with Long-Range Interactions |
PRL Celebrates 50 Years
This Week's Milestone Letters are from 1984: |
Julien Barré1,2, David Mukamel3, and Stefano Ruffo1,4
1Dipartimento di Energetica “Sergio Stecco,” Università di Firenze, via s. Marta 3, 50139 Firenze, Italy
2Ecole Normale Supérieure de Lyon, Laboratoire de Physique, 46 Allée d'Italie, 69364 Lyon Cedex 07, France
3Department of Physics of Complex Systems, The Weizmann Institute of Science, Rehovot 76100, Israel
4INFM and INFN, Firenze, Italy
Received 2 February 2001; published 29 June 2001
We study the global phase diagram of the infinite-range Blume-Emery-Griffiths model both in the canonical and in the microcanonical ensembles. The canonical phase diagram shows first-order and continuous transition lines separated by a tricritical point. We find that below the tricritical point, when the canonical transition is first order, the phase diagrams of the two ensembles disagree. In this region the microcanonical ensemble exhibits energy ranges with negative specific heat and temperature jumps at transition energies. These results can be extended to weakly decaying nonintegrable interactions.
©2001 The American Physical Society
URL: http://link.aps.org/abstract/PRL/v87/e030601
DOI: 10.1103/PhysRevLett.87.030601
PACS: 05.20.Gg, 05.50.+q, 05.70.Fh, 64.60.-i
[ Abstract | Previous article | Next article | Issue 3 ]
About PROLA | Terms and Conditions | Subscriptions | Search | Help
Content in PROLA © 2008 by The American Physical Society All rights reserved. PROLA™ is a trademark of The American Physical Society. Use of APS online journals implies that the user has read and agrees to the Terms and Conditions in the Subscription Agreement.