Abstract
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.
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Dauxois, T., Ruffo, S., Arimondo, E., Wilkens, M. (2002). Dynamics and Thermodynamics of Systems with Long-Range Interactions: An Introduction. In: Dauxois, T., Ruffo, S., Arimondo, E., Wilkens, M. (eds) Dynamics and Thermodynamics of Systems with Long-Range Interactions. Lecture Notes in Physics, vol 602. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45835-2_1
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