Exact General Solutions to Extraordinary N-body Problems

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dc.creatorLynden-Bell, D.
dc.creatorLynden-Bell, R. M.
dc.date1998-08-17
dc.date.accessioned2026-07-07T03:11:19Z
dc.date.available2026-07-07T03:11:19Z
dc.descriptionWe solve the N-body problems in which the total potential energy is any function of the mass-weighted root-mean-square radius of the system of N point masses. The fundamental breathing mode of such systems vibrates non-linearly for ever. If the potential is supplemented by any function that scales as the inverse square of the radius there is still no damping of the fundamental breathing mode. For such systems a remarkable new statistical equilibrium is found for the other coordinates and momenta, which persists even as the radius changes continually.
dc.description15 pages, LaTeX. Accepted for publication in Proc. Roy. Soc. A
dc.identifierhttps://arxiv.org/abs/cond-mat/9808173
dc.identifierhttp://arxiv.org/abs/cond-mat/9808173
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/28528
dc.subjectStatistical Mechanics
dc.subjectAstrophysics
dc.titleExact General Solutions to Extraordinary N-body Problems
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