Yang-Yang anomaly

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The Yang-Yang anomaly [1] provides (Eq. 3):


C_V =  VT  \left. \frac{\partial^2 p}{\partial T^2} \right\vert_V  -NT \left. \frac{\partial^2 \mu}{\partial T^2} \right\vert_V


where C_V is the heat capacity at constant volume and \mu is the chemical potential. Given that experimentally it is found that C_V diverges at the critical temperature this implies that either \partial^2 p/\partial T^2 or \partial^2 \mu/\partial T^2, or both, diverge as T \rightarrow T_c^-. Fisher and Orkoulas [2] showed that both terms diverge.

References[edit]