The statistical condition of equilibrium of two systems in thermal contact is

1
T1 = T2
2
S1 = S2
3
Ω1 = Ω2
4
\(\frac{d}{dE_1}log \,\, \Omega_1(E_1)=\frac{d}{dE_2}log \,\, \Omega_2(E_2)\)

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