Sumati Surya (Raman Research Institute, Bangalore, India)
Anne Flöge (UP & WIAS Berlin)
We investigate the order of the phase transition in the free Bose gas and start with a criterion of a phase transition of order 2 for general q_k. Then we continue the analysis under a gamma approximation assumption. Observing a pattern in the approximations of the third till sixth left-derivatives of the free energy leads to the final conjecture of an interval of r for a phase transition of order larger or equal to 4.
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