Solid–liquid phase transitions in 3D systems with the inverse-power and Yukawa potentials

•The melting of fcc and bcc crystal lattices was studied analytically and numerically.•3D systems with inverse-power-law and Yukawa interaction potentials were considered.•The new approximation of equilibrium melting curves of the systems is proposed.•The influence of nonlinearity of the pair interaction forces was taken into account.•Characteristic frequencies and energies of crystal lattices were estimated.

The melting of face-centered cubic (fcc) and body-centered cubic (bcc) crystal lattices was studied analytically and numerically for the systems of particles interacting via the inverse-power-law and Yukawa potentials. New approach is proposed for determination of the solid–liquid phase transitions in these systems. The suggested approach takes into account a nonlinearity (anharmonicity) of pair interaction forces and allows to correctly predict the conditions of melting of the systems with various isotropic pair interaction potentials. The obtained results are compared with the existing theoretical and numerical data.