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The theory of the multirelaxational response of incommensurable modulated phases in order - disorder systems

The response of incommensurable modulated phases is studied non-perturbatively in materials with the order - disorder type of phase transition. We introduce a mode-independent approximation for relaxation time and for interaction energy in the corresponding set of Bloch equations of excitation motion. Using a simplified envelope method enabled us to calculate the dynamic dielectric susceptibility of the incommensurate phase. Multirelaxational complex behaviour is found. The effective relaxation time behaviour qualitatively corresponds to that observed by Hatta in 1970 for . It is a frequency-dependent quantity due to relaxation of dispersionless excitations. The static dielectric susceptibility critical index changes its value from unity above the transition from the paraphase to the incommensurate phase to one-half below this phase transition near to the lock-in transition. Low-frequency dynamic susceptibility behaviour shows enhanced losses.