A model for transition to the mesomorphic state in poly(methyl methacrylate)

The structural instability of a polymer crystal may be due to the involvement of various lattice vibrations in nonlinear resonance. The condition of this involvement is the prevalence of intramode anharmonicity over intermode interaction. A model of phase transitions in polymers of the PMMA type was constructed. Below transition points, coherent states of orientational vibrations of heavy side pendants are formed. The thermodynamic characteristics of these states were found. The structural instability of the polymer lattice is a second-order phase transition.