The evolution of a soliton structure after it has been abruptly driven
into a state far from equilibrium is initially an accelerated process
. The acceleration is greater, the greater the initial departure from
equilibrium. Closer to equilibrium, deceleration causes the fast proce
ss to give way to a slow, thermal-activation process, as is characteri
stic of inhomogeneous systems. Distinctive features of the fast stage
of the evolution and of its effect on the subsequent stages are identi
fied. Experiments have been carried out by a dielectric method in the
particular case of an Rb2ZnCl4, crystal, which is a ferroelectric with
an incommensurate phase.