Analytic Models of Brown Dwarfs and the Substellar Mass Limit

Table 1

Effective temperature for different phase transition points.

Model	(K)	(Mbar)	(g cm^−3)	(g cm^−3)
A	3.70	2.14	0.75	0.92	0.62	0.48	2.87	1.58
B	3.78	1.95	0.70	0.88	0.59	0.50	2.70	1.59
C	3.86	1.62	0.64	0.80	0.54	0.50	2.26	1.59
D	3.94	1.39	0.58	0.74	0.51	0.51	2.00	1.60
E	4.02	1.13	0.51	0.65	0.46	0.52	1.68	1.61
F	4.10	0.895	0.43	0.55	0.42	0.50	1.29	1.59
G	4.18	0.631	0.35	0.38	0.14	0.33	0.60	1.44
H	4.185	0.614	0.35	0.35	0.00	0.18	0.40	1.30

The phase transition points are taken from Chabrier et al. [14]. This gives the possible range of surface temperature depending on the phase transition points. For different values of temperature and density at which the phase transition takes place, the effective surface temperature is calculated using (25).