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- W3102160908 abstract "We continue the study of collisionless systems governed by additive $r^{-{italpha}}$ interparticle forces by focusing on the influence of the force exponent ${italpha}$ on radial orbital anisotropy. In this preparatory work, we construct the radially anisotropic Osipkov–Merritt phase-space distribution functions for self-consistent spherical Hernquist models with $r^{-{italpha}}$ forces and $1leqslant {italpha}<3$ . The resulting systems are isotropic at the centre and increasingly dominated by radial orbits at radii larger than the anisotropy radius $r_{a}$ . For radially anisotropic models we determine the minimum value of the anisotropy radius $r_{ac}$ as a function of ${italpha}$ for phase-space consistency (such that the phase-space distribution function is nowhere negative for $r_{a}geqslant r_{ac}$ ). We find that $r_{ac}$ decreases for decreasing ${italpha}$ , and that the amount of kinetic energy that can be stored in the radial direction relative to that stored in the tangential directions for marginally consistent models increases for decreasing ${italpha}$ . In particular, we find that isotropic systems are consistent in the explored range of ${italpha}$ . By means of direct $N$ -body simulations, we finally verify that the isotropic systems are also stable." @default.
- W3102160908 created "2020-11-23" @default.
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- W3102160908 date "2015-07-13" @default.
- W3102160908 modified "2023-10-02" @default.
- W3102160908 title "Radially anisotropic systems with forces: equilibrium states" @default.
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- W3102160908 doi "https://doi.org/10.1017/s0022377815000689" @default.
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