One dimensional scalar systems with a continuous scalar order parameter have domains separated by domain walls. The domain walls interact exponentially weakly, through the tails of the domain walls. This leads to an extremal dynamics at low temperatures that can be exactly solved. Various long-range interactions can also be introduced, so that the domain walls act as interacting particles with alternating positive or negative charges. See online or pdf .
Many systems dynamically scale after they are quenched into an ordered phase.
This provides a unified and physical approach for determining growth exponents for a wide range of physical systems. See online or pdf . Quantum spin liquids on frustrated two-dimensional lattices have their analogues in classical systems. We explore classical antiferromagnets on the Kagom lattice, which is like a triangular lattice but less frustrated. A height-model representation can also be constructed.