Statistical mechanics of two-dimensional vortices and stellar systems

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dc.creatorChavanis, P. H.
dc.date2002-12-10
dc.date.accessioned2026-07-07T02:48:39Z
dc.date.available2026-07-07T02:48:39Z
dc.descriptionThe formation of large-scale vortices is an intriguing phenomenon in two-dimensional turbulence. Such organization is observed in large-scale oceanic or atmospheric flows, and can be reproduced in laboratory experiments and numerical simulations. A general explanation of this organization was first proposed by Onsager (1949) by considering the statistical mechanics for a set of point vortices in two-dimensional hydrodynamics. Similarly, the structure and the organization of stellar systems (globular clusters, elliptical galaxies,...) in astrophysics can be understood by developing a statistical mechanics for a system of particles in gravitational interaction as initiated by Chandrasekhar (1942). These statistical mechanics turn out to be relatively similar and present the same difficulties due to the unshielded long-range nature of the interaction. This analogy concerns not only the equilibrium states, i.e. the formation of large-scale structures, but also the relaxation towards equilibrium and the statistics of fluctuations. We will discuss these analogies in detail and also point out the specificities of each system.
dc.descriptionChapter 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)
dc.identifierhttps://arxiv.org/abs/cond-mat/0212223
dc.identifierhttp://arxiv.org/abs/cond-mat/0212223
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/20487
dc.subjectStatistical Mechanics
dc.subjectAstrophysics
dc.titleStatistical mechanics of two-dimensional vortices and stellar systems
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