636 citations
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Showing 2022 · cond-mat.stat-mechShow all
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cond-mat.stat-mech2022★ 4 cited
Kardar-Parisi-Zhang growth on square domains that enlarge nonlinearly in time
Ismael S. S. Carrasco, Tiago J. Oliveira
We study discrete KPZ growth models deposited on square lattice substrates, whose (average) lateral size enlarges as . Our numerical simulations reveal that the comp…
cond-mat.stat-mech2022★ 23 cited
The fractal geometry of growth: fluctuation-dissipation theorem and hidden symmetry
Petrus H. R. dos Anjos, Márcio S. Gomes-Filho, Washington S. Alves +2
Growth in crystals can be { usually } described by field equations such as the Kardar-Parisi-Zhang (KPZ) equation. While the crystalline structure can be characterized by Euclidean…