COMPUTATIONS OF PARAMETERS FOR TWO TYPES OF DEPENDENCES DESCRIBING THE POTENTIAL PRESSURE IN THE WIDE RANGE OF DENSITY VARIATIONS

L.F. Gudarenko, V.M. Povyshev
VANT. Ser.: Mat. Mod. Fiz. Proc 1996. Вып.1-2. С. 53-58.

      The goal was to develop efficient algorithms for the calculation of free parameters for two types of analytical dependences used in the equations of state to describe potential pressure; to perform the computations for the evaluation of the approximation properties of these dependences, to compare them with the other analytical dependence.
      The description is given for the algorithms developed. The calculation of free parameters reduces to simultaneous minimization and calculation of the systems; no initial approximations are needed for the parameters to be computed. The initial data are represented by the table of potential pressure values depending in the relative compression. For three forms of analytical dependences, the computations were performed to approximate the potential pressure in copper and lead in the density range ρ₀ < ρ < 90ρ₀. One of the dependences is recommended for the use in the wide range equations of state.