Interrupted coarsening in a driven kinetically constrained Ising chain

We introduce a driven version of the one-dimensional kinetically constrained spin chain [J. Jackle and S. Eisinger, Zeitschr. Phys. B 84, 115 (1991)]. In its original undriven version, this model shows anomalous coarsening following a quench to a low temperature, with an equilibration time that diverges as $\sim \exp {(1/T}^2)$ for $\overrightarrow{T}0.$ We show that driving of constant rate $\dot{\gamma }$ interrupts coarsening and stabilizes the chain in a state analogous to that of a coarsening chain of age $1/\dot{\gamma }.$ We present an analytical theory for this steady state, and demonstrate it to be in excellent agreement with our simulation results.