Abstract
We present a comprehensive Monte Carlo study of the ordering kinetics in the ferromagnetic -state clock model with nonconserved Glauber dynamics. In agreement with previous studies we find that is characterized by two phase transitions occurring at temperatures and (). Phase-ordering kinetics is then investigated by rapidly quenching the system in two phases, in the quasi-long-range ordered phase (QLRO), where , and in the long-range ordered phase (LRO), where , being the quench temperature. Our numerical data for equal time spatial correlation function and structure factor 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 . In the QLRO quench regime, domains coarsen mainly via annihilation of point defects and our length-scale data for , 12, and 20 suggests a growth law for the -state clock model in the QLRO phase.
1 More- Received 6 July 2018
DOI:https://doi.org/10.1103/PhysRevE.98.032109
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