In a slowly rotating ideal Bose gas, the BEC critical temperature scales as (density x angular velocity)^{2/5} in the nonrelativistic limit, and the heat capacity acquires a jump at the transition.
In NR limit, it is defined by z = eβ(µ−m) [see ( III.1)] and in UR limit by z = eβµ [see ( III.19)]
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Bose-Einstein condensation in a rigidly rotating relativistic boson gas
In a slowly rotating ideal Bose gas, the BEC critical temperature scales as (density x angular velocity)^{2/5} in the nonrelativistic limit, and the heat capacity acquires a jump at the transition.