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Superdiffusion-like behavior in zero-temperature coarsening of the [Formula: see text] Ising model

One key aspect of coarsening following a quench below the critical temperature is domain growth. For the non-conserved Ising model a power-law growth of domains of like spins with exponent [Formula: see text] is predicted. Including recent work, it was not possible to clearly observe this growth law...

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Detalles Bibliográficos
Autores principales: Gessert, Denis, Christiansen, Henrik, Janke, Wolfhard
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10427613/
https://www.ncbi.nlm.nih.gov/pubmed/37582791
http://dx.doi.org/10.1038/s41598-023-39328-7
Descripción
Sumario:One key aspect of coarsening following a quench below the critical temperature is domain growth. For the non-conserved Ising model a power-law growth of domains of like spins with exponent [Formula: see text] is predicted. Including recent work, it was not possible to clearly observe this growth law in the special case of a zero-temperature quench in the three-dimensional model. Instead a slower growth with [Formula: see text] was reported. We attempt to clarify this discrepancy by running large-scale Monte Carlo simulations on simple-cubic lattices with linear lattice sizes up to [Formula: see text] employing an efficient GPU implementation. Indeed, at late times we measure domain sizes compatible with the expected growth law—but surprisingly, at still later times domains even grow superdiffusively, i.e., with [Formula: see text] . We argue that this new problem is possibly caused by sponge-like structures emerging at early times.