The idea of anharmonic oscillations has been extended to explain the glass
transition or melting point. All ideas of free volume, vacancy transport, e
tc., have been respected but are treated as minor phenomena relative to har
monic-anharmonic vibration transition. A simple model of coupled oscillator
s is studied, it is shown that coupled anharmonic oscillators can produce v
ibrations on entirely different levels of amplitudes, which explains the hi
ghly different coefficients of thermal expansion and c(p) values for solid
and liquid states. At higher temperatures, for polymers in the rubber-like
zone, the theory of anharmonic coupled oscillators brings certain justifica
tion for the theories of De Gennes, Doi and Edwards or Rouse. The solid-liq
uid transition seems to be connected on microlevel mainly with the enlargem
ent of vibrational amplitudes of monomer or dimer units in polymer chain as
the temperature increases.