A one-dimensional system with anharmonic energy of the Landau type is considered. The motion of the system is governed by Newton's equations. It is shown that unexpectedly a dispersive mode describes the dynamics of this system near the mean-field transition temperature. The universal functions which describe the correlation in time and space are obtained by numerical simulations. The result applies in particular to the description of the 2 k F mode softening (CDW formation) in quasi-one-dimensional compounds.
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Tutiš et al. (1989) studied this question.
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