  A new alternative approach to calculate the ratio of the surface to volume
components of the nuclear symmetry energy is proposed in the framework of the
coherent density fluctuation model (CDFM). A new expression (scheme II) for the
ratio is derived consistently within the model. This expression appears in a
form more direct and physically motivated than the expression (scheme I) that
was used in our previous works within the CDFM and avoids preliminary
assumptions and mathematical ambiguities in scheme I. The calculations are
based on the Skyrme and Brueckner energy-density functionals for nuclear matter
and on nonrelativistic Brueckner-Hartree-Fock method with realistic Bonn B and
Bonn CD nucleon-nucleon potentials. The approach is applied to isotopic chains
of Ni, Sn, and Pb nuclei using nuclear densities obtained in self-consistent
Hartree-Fock+BCS calculations with SLy4 Skyrme effective interaction. The
applicability of both schemes within the CDFM is demonstrated by a comparison
of the results with the available empirical data and with results of other
theoretical studies of the considered quantities. Although in some instances
the results obtained for the studied ratio and the symmetry energy components
are rather close in both schemes, the new scheme II leads to more realistic
values that agree better with the empirical data and exhibits conceptual and
operational advantages.
