Abstract
The dynamics of the thermal quench for pure and random Ising chains is studied. Using the
Kibble–Zurek argument, we obtain for the pure Ising model that the density of kinks after
quenching decays as 
with the quench rate of temperature
1/τ for large
τ. For
the random Ising model, we show that the decay rates of the density of kinks and the residual energy are
1/ln τ and
1/(ln τ)2 respectively
for large τ. Analytic results for the random Ising model are confirmed by Monte Carlo simulation.
Our results reveal a clear difference between classical and quantum quenches in the random
Ising chain.