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- W2066591880 abstract "The nonequilibrium relaxational dynamics of the solid-on-solid model on a disordered substrate and the sine-Gordon model with random phase shifts is studied numerically. Close to the super-roughening temperature ${T}_{g}$ our results for the autocorrelations, spatial correlations, and response function as well as for the fluctuation dissipation ratio agree well with the prediction of a recent one-loop renormalization-group (RG) calculation, whereas deep in the glassy low-temperature phase substantial deviations occur. The change in the low-temperature behavior of these quantities compared to the RG predictions is shown to be contained in a change of the functional temperature dependence of the dynamical exponent $z(T)$, which relates the age $t$ of the system to a length scale $mathcal{L}(t):z(T)$ changes from a linear $T$ dependence close to ${T}_{g}$ to a $1∕T$ behavior far away from ${T}_{g}$. By identifying spatial domains as connected patches of the exactly computable ground states of the system we demonstrate that the growing length scale $mathcal{L}(t)$ is the characteristic size of thermally fluctuating clusters around ``typical'' long-lived configurations." @default.
- W2066591880 created "2016-06-24" @default.
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- W2066591880 date "2005-05-26" @default.
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- W2066591880 title "Nonequilibrium dynamics below the super-roughening transition" @default.
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- W2066591880 doi "https://doi.org/10.1103/physrevb.71.184202" @default.
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