We review theoretical results obtained recently in the framework of statistical mechanics to study systems with long-range forces. This fundamental and methodological study leads us to consider the different domains of applications in a trans-disciplinary perspective (astrophysics, nuclear physics, plasmas physics, metallic clusters, hydrodynamics,...) with a special emphasis on Bose-Einstein condensates. The main issues discussed in this context are: non additivity, ensemble inequivalence, thermodynamic anomalies at phase transitions (e.g. negative specific heat), "convex intruders" in the entropy, non-extensive statistics and new entropies, coherent structures and self-consistent chaos, laser induced long-range interactions in cold atomic systems.
Dynamics and Thermodynamics of Systems with Long-Range Interactions
- Pub Date:
- Condensed Matter - Statistical Mechanics
- Chapter of the forthcoming "Lecture Notes in Physics" volume: ``Dynamics and Thermodynamics of Systems with Long Range Interactions'', T. Dauxois, S. Ruffo, E. Arimondo, M. Wilkens Eds., Lecture Notes in Physics Vol. 602, Springer (2002). (see http://link.springer.de/series/lnpp/)