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The statistical physics of rotating fluids is discussed with particular emphasis on the rules for taking the thermodynamic limit of infinite size. The thermodynamics of a rotating ideal Bose liquid is explicitly worked out. It is found that the rotating ideal Bose liquid undergoes a Bose-Einstein condensation; however, the first-order phase transitions predicted by Blatt and Butler are not present when the thermodynamic limit is properly taken.
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Allan Widom (1968) studied this question.
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