  By using broadband linear and nonlinear dielectric spectroscopy we studied
the magnetoelectric dynamics in the chiral antiferromagnet MnWO4. In the
multiferroic phase the dielectric response is dominated by the dynamics of
domains and domain walls which is strongly dependent on the stimulating
electric field. The mean switching time reaches values in the minute range in
the middle of the multiferroic temperature regime at T=10 K but unexpectedly
decays again on approaching the lower, first-order phase boundary at T_N1=7.6K.
The switchability of the ferroelectric domains denotes a pinning-induced
threshold and can be described considering a growth-limited scenario with an
effective growth dimension of d=1.8. The rise of the effective dynamical
coercive field on cooling below the TN2 is much stronger compared to the usual
ferroelectrics and can be described by a power law E_c ~{\nu}^1/2. The latter
questions the feasibility of fast-switching devices based on this type of
material.
