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- W2782974323 abstract "The effects of 'discreteness' of a collisional star cluster of $N$-point stars may be conventionally understood as close two-body encounters, statistical effects, and gravitational polarization. However, if the system of concern is finite in size and density (not at the late stage of the evolution) one must employ the fourth effect, self-consistent $'$truncated$'$ Newtonian mean field (m.f.) potential $Phi^{triangle}$ $(r,t)=$ $int_{|r-r' | > triangle} phileft(r-r'right)fleft(r',p',tright)text{d}^{3}{r'}text{d}^{3}{p'}$. The lower limit $Delta$ represents the smallest space scale that statistical description is applicable, corresponding to the Landau distance. The truncated m.f. potential dose not originate from the sparseness of stars in phase space but is a necessary condition to separate the collision kinetic description (close encounters) from the wave one (statistical effects). The present paper shows a formulation of divergence-free kinetic equations based on the truncated m.f. potential at three level. (i) No stars can come closer each other than the Landau distance. (ii) Only a test star can come closer to one field star than the distance at a time while the other field stars can not. (iii) Convergent kinetic theory for the (ii) level. Especially,Kandrup$'$s generalsied Landau equation was extended by employing Grad$'$s truncated distribution function and Klimontovich$'$s theory of non-ideal systems. A correct relation is given, for the first time, between the strong two-body encounter and m.f. potential, also between collision- and wave- kinetic theories of a star cluster." @default.
- W2782974323 created "2018-01-26" @default.
- W2782974323 creator A5042114872 @default.
- W2782974323 date "2018-01-15" @default.
- W2782974323 modified "2023-09-27" @default.
- W2782974323 title "A convergent kinetic theory of collisional star clusters based on a self-consistent 'truncated' mean-field potential" @default.
- W2782974323 hasPublicationYear "2018" @default.
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