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• W2003242565 abstract "We study the dynamics of the East model, comprising a chain of uncoupled spins in a downward-pointing field. Glassy effects arise at low temperatures T from the kinetic constraint that spins can only flip if their left neighbor is up. We give details of our previous solution of the nonequilibrium coarsening dynamics after a quench to low T [Phys. Rev. Lett. 83, 3238 (1999)], including the anomalous coarsening of down-spin domains with typical size $overline{d}ensuremath{sim}{t}^{Tmathrm{ln}2},$ and the pronounced ``fragile glass'' divergence of equilibration times as ${t}_{*}=mathrm{exp}{(1/T}^{2}mathrm{ln}2).$ We also link the model to the paste-all coarsening model, defining a family of interpolating models that all have the same scaling distribution of domain sizes. We then proceed to the problem of equilibrium dynamics at low T. Based on a scaling hypothesis for the relation between time scales and length scales, we propose a model for the dynamics of ``superdomains'' which are bounded by up-spins that are frozen on long time scales. From this we deduce that the equilibrium spin correlation and persistence functions should exhibit identical scaling behavior for low T, decaying as $g(stackrel{ifmmode tilde{}else ~{}fi{}}{t}).$ The scaling variable is $stackrel{ifmmode tilde{}else ~{}fi{}}{t}{=(t/t}_{*}{)}^{Tmathrm{ln}2},$ giving strongly stretched behavior for low T. The scaling function $g(ensuremath{cdot})$ decays faster than exponential, however, and in the limit $stackrel{ensuremath{rightarrow}}{T}0$ at fixed $stackrel{ifmmode tilde{}else ~{}fi{}}{t}$ reaches zero at a finite value of $stackrel{ifmmode tilde{}else ~{}fi{}}{t}.$" @default.
• W2003242565 created "2016-06-24" @default.
• W2003242565 creator A5029182034 @default.
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• W2003242565 date "2003-09-26" @default.
• W2003242565 modified "2023-09-27" @default.
• W2003242565 title "Glassy dynamics in the asymmetrically constrained kinetic Ising chain" @default.
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• W2003242565 doi "https://doi.org/10.1103/physreve.68.031504" @default.
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