Critical phenomena of a hybrid phase transition in cluster merging dynamics.

Autor:	Choi K; CCSS, CTP, and Department of Physics and Astronomy, Seoul National University, Seoul 08826, Korea., Lee D; CCSS, CTP, and Department of Physics and Astronomy, Seoul National University, Seoul 08826, Korea., Cho YS; Department of Physics, Chonbuk National University, Jeonju 54896, Korea., Thiele JC; Computational Physics for Engineering Materials, Institute for Building Materials, ETH Zürich, 8093 Zürich, Switzerland., Herrmann HJ; Computational Physics for Engineering Materials, Institute for Building Materials, ETH Zürich, 8093 Zürich, Switzerland., Kahng B; CCSS, CTP, and Department of Physics and Astronomy, Seoul National University, Seoul 08826, Korea.
Jazyk:	angličtina
Zdroj:	Physical review. E [Phys Rev E] 2017 Oct; Vol. 96 (4-1), pp. 042148. Date of Electronic Publication: 2017 Oct 24.
DOI:	10.1103/PhysRevE.96.042148
Abstrakt:	Recently, a hybrid percolation transition (HPT) that exhibits both a discontinuous transition and critical behavior at the same transition point has been observed in diverse complex systems. While the HPT induced by avalanche dynamics has been studied extensively, the HPT induced by cluster merging dynamics (HPT-CMD) has received little attention. Here, we aim to develop a theoretical framework for the HPT-CMD. We find that two correlation-length exponents are necessary for characterizing the giant cluster and finite clusters separately. The conventional formula of the fractal dimension in terms of the critical exponents is not valid. Neither the giant nor finite clusters are fractals, but they have fractal boundaries. A finite-size scaling method for the HPT-CMD is also introduced.
Databáze:	MEDLINE
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