Yang-Yang anomaly

The Yang-Yang anomaly 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 Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \partial^2 p/\partial T^2} or Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \partial^2 \mu/\partial T^2} , or both, diverge as Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle T \rightarrow T_c^-} . Fisher and Orkoulas showed that both terms diverge.