Calculation of the thermodynamic functions using a mean field model for the fluid-solid transition in nitrogen

Temperature and pressure dependence of the thermodynamic quantities are calculated using the Landau phenomenological model for the first order fluid-solid transition in nitrogen. This calculation is performed by fitting the phase line equation as derived from the mean field model to the observed T-P phase diagram of the fluid-solid transition in N2 from the literature. Our calculations show that the order parameter and the inverse susceptibility decrease whereas the entropy, heat capacity, thermal expansion and isothermal compressibility exhibit anomalous behavior as the melting point is approached in nitrogen. This indicates that the first order fluid-solid transition in N2 can be described by the mean field model studied here