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- W2891376541 abstract "We present a comprehensive Monte Carlo study of the ordering kinetics in the $d=2$ ferromagnetic $q$-state clock model with nonconserved Glauber dynamics. In agreement with previous studies we find that $q geqslant 5$ is characterized by two phase transitions occurring at temperatures $T_{c}^1$ and $T_{c}^2$ ($T_{c}^2<T_{c}^1$). Phase ordering kinetics is then investigated by rapidly quenching the system in two phases, in the quasi-long range ordered phase (QLRO) where $T_{c}^2<T<T_{c}^1$ and in the long-range ordered phase (LRO) where $T<T_{c}^2$; $T$ being the quench temperature. Our numerical data for equal time spatial correlation function $C(textbf{r},t)$ and structure factor $S(k,t)$ support dynamical scaling. Quench in the LRO regime is characterized by a crossover from a preasymptotic growth driven by the annealing of both vortices and interfaces to an interface driven growth at the asymptotic regime with growth exponent $nsimeq 0.5$. In the QLRO quench regime, domains coarsen mainly via annihilation of point defects and our length scale data for $q$ = 9, 12, and 20 suggests a $R(t) sim (t/ln t)^{1/2}$ growth law for the $q$-state clock model in the QLRO phase." @default.
- W2891376541 created "2018-09-27" @default.
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- W2891376541 date "2018-09-07" @default.
- W2891376541 modified "2023-10-18" @default.
- W2891376541 title "Ordering kinetics in the <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>q</mml:mi></mml:math> -state clock model: Scaling properties and growth laws" @default.
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- W2891376541 doi "https://doi.org/10.1103/physreve.98.032109" @default.
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