Bose Einstein condensate in ideal Bose gas (part 2) скачать в хорошем качестве

Bose Einstein condensate in ideal Bose gas (part 2)

In this two-part lecture we discuss the Bose-Einstein condensation in the ideal Bose gas. We begin by reviewing the what we said in the first part. We then calculate the pressure for the Bose gas and see that it takes the same form in both the condensate and non-condensate regime, reasoning that the ground state gives no pressure contribution. We then calculate the specific heat by calculating the internal energy first and then differentiating it with respect to volume. We see that the plot of the specific heat capacity has a kink at the critical temperature, a sign of a second order phase transition where the second partial derivative of the internal energy suffers from a discontinuity.