Yang-Yang anomaly

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


CV=VT∂2p∂T2|V−NT∂2μ∂T2|V


where CV is the heat capacity at constant volume and μ is the chemical potential. Given that experimentally it is found that CV diverges at the critical temperature this implies that either ∂2p/∂T2 or ∂2μ/∂T2, or both, diverge as T→Tc−. Fisher and Orkoulas [2] showed that both terms diverge.

References