Analysis of thermodynamic properties in the limit of infinite pressure
Sanjay Kumar, S. K. Sharma and O. P. Pandey
We have analysed the thermodynamic properties in the limit of infinite pressure. A number of thermodynamic infinite pressure limits have been used to establish that isothermal and adiabatic properties become identical at extreme compression. This has been demonstrated on the basis of the result that the product γαT tends to zero in the limit of infinite pressure. The logarithmic volume derivative of γαT is found positive finite in the limit of infinite pressure on the basis of calculus equation which supports that γαT tends to zero in the limit of infinite pressure. It has been found that isobaric heat capacity (CP) equals to isochoric heat capacity (CV). Rigidity modulus under isotherm and adiabatic conditions remains same. The ratio of isothermal and adiabatic Anderson- Grüneisen parameters remains finite in the limit of infinite pressure.
Keywords: Volume thermal expansivity, Grüneisen parameter, Anderson- Grüneisen parameter, Heat capacity.