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We investigate the non-equilibrium dynamics of a class of isolatedone-dimensional systems possessing two degenerate ground states, initialized ina low-energy symmetric phase. We report the emergence of a time-scaleseparation between fast (radiation) and slow (kink or domain wall) degrees offreedom. We find a universal long-time dynamics, largely independent of themicroscopic details of the system, in which the kinks control the relaxation ofrelevant observables and correlations. The resulting late-time dynamics can bedescribed by a set of phenomenological equations, which yield results inexcellent agreement with the numerical tests.

Universal late-time dynamics in isolated one-dimensional statistical systems with topological excitations