Even if non-adiabatic perturbations are generated in multi-field inflation,
the perturbations will become adiabatic if the universe after inflation enters
an era of local thermal equilibrium, with no non-zero conserved quantities, and
will remain adiabatic as long as the wavelength is outside the horizon, even
when local thermal equilibrium no longer applies. Small initial non-adiabatic
perturbations associated with imperfect local thermal equilibrium remain small
when baryons are created from out-of-equilibrium decay of massive particles, or
when dark matter particles go out of local thermal equilibrium.Comment: 12 pages, typographical errors corrected, acknowledgment added.
Article accepted for publication in Physical Review