Lattice Melting and Rotation in Perpetually Pulsating Equilibria

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dc.creatorPichon, C.
dc.creatorLynden-Bell, D.
dc.creatorPichon, J.
dc.creatorLynden-Bell, R.
dc.date2006-11-22
dc.date.accessioned2026-07-07T11:00:17Z
dc.date.available2026-07-07T11:00:17Z
dc.descriptionSystems whose potential energies consists of pieces that scale as r^-2 together with pieces that scale as r^2, show no violent relaxation to Virial equilibrium but may pulsate at considerable amplitude for ever. Despite this pulsation these systems form lattices when the non-pulsational `energy' is low, and these disintegrate as that energy is increased. The `specific heats' show the expected halving as the `solid' is gradually replaced by the `fluid' of independent particles. The forms of the lattices are described here for N ~ 20 and they become hexagonal close packed for large N. In the larger N limit, a shell structure is formed. Their large N behaviour is analogous to a gamma=5/3 polytropic fluid with a quasi-gravity such that every element of fluid attracts every other in proportion to their separation. For such a fluid, we study the `rotating pulsating equilibria' and their relaxation back to uniform but pulsating rotation. We also compare the rotating pulsating fluid to its discrete counter part, and study the rate at which the rotating crystal redistributes angular momentum and mixes as a function of extra heat content.
dc.description12 pages, 9 figures; accepted for publication by Phys Rev E
dc.identifierhttps://arxiv.org/abs/astro-ph/0611725
dc.identifierhttp://arxiv.org/abs/astro-ph/0611725
dc.identifierPhys.Rev.E75:011125,2007
dc.identifierdoi:10.1103/PhysRevE.75.011125
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187648
dc.subjectAstrophysics
dc.subjectStatistical Mechanics
dc.titleLattice Melting and Rotation in Perpetually Pulsating Equilibria
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