  We investigate the one-magnon dynamics of the antiferromagnetic delta chain
as a paradigmatic example of tunable equilibration. Depending on the ratio of
nearest and next-nearest exchange interactions the spin system exhibits a flat
band in one-magnon space - in this case equilibration happens only partially,
whereas it appears to be complete with dispersive bands as generally expected
for generic Hamiltonians. We provide analytical as well as numerical insight
into the phenomenon.
