|
| Feature | | |
|
| Physical motivation
before equilibrium | As a general stellar cluster evolves
tides are generated | As a general stellar cluster evolves
entropy is produced |
| Theoretical basis
at equilibrium | Tidal force of the galaxy | Entropy maximization |
| Equation obeyed | Simple, approximate,
and nonunique in (9) | Transcendental,
exact, and unique in (23) |
| Role of Planck
constant | Not needed since the treatment is
classical Newtonian. | Needed explicitly
to find the cell degeneracy
the index of (27), and the huge cutoff number K. |
| Upper energy
cutoff in the spectrum | Imposed by hand at in (9). | Predicted by
theory to occur at in (19). |
| Functional form | For example, in
which the subtraction term 1 is
constant. | in which the subtraction term is strongly energy-dependent. |
| Mass and radius of
the cluster | Finite | Finite |
| Number density
profile near the edge | | |
| Quality of fit to and | Good in Figure 4 | Good in Figure 3 |
|