  The rate of curvature-driven grain growth in polycrystalline materials is
well-known to be limited by interface dissipation. We show analytically and by
simulations that, for systems forming modulated phases or non-equilibrium
patterns with crystal ordering, growth is limited by bulk dissipation
associated with lattice translation, which dramatically slows down grain
coarsening. We also show that bulk dissipation is reduced by thermal noise so
that those systems exhibit faster coarsening behavior dominated by interface
dissipation for high Peierls barrier and high noise. Those results provide a
unified theoretical framework for understanding and modeling polycrystalline
pattern evolution in diverse systems over a broad range of length and time
scales.
