Linear isothermal regularity

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The linear isothermal regularity was discovered by Parsafar in 1991. It suggests that (Z-1)v^2 vs \rho^2 is linear. This led to a new Van der Waals like equation of state (Ref. 2 Eq. 8):

(Z-1) v^2 = \frac{1}{\rho } \left( \frac{\alpha}{1-\lambda b \rho} - \frac{\alpha - B_2}{1+ \delta b \rho} \right)


  1. Gholam Abbas Parsafar "Deriving the Equation of State for Liquids and Extension of the Principle of Corresponding States", Journal of Sciences, Islamic Republic of Iran 2 pp. 111-123 (1991)
  2. Gholam Abbas Parsafar and E. A. Mason "Linear isotherms for dense fluids: a new regularity", Journal of Physical Chemistry 97 pp. 9048-9053 (1993)
  3. Mohammad Shokouhi and Gholam Abbas Parsafar "A new equation of state derived by the statistical mechanical perturbation theory", Fluid Phase Equilibria 264 pp. 1-11 (2008)