2022-01-20T02:06:57Zhttps://tsukuba.repo.nii.ac.jp/oaioai:tsukuba.repo.nii.ac.jp:000310802021-03-02T07:03:24ZBirth–death process of local structures in defect turbulence described by the one-dimensional complex Ginzburg–Landau equation金野, 秀敏Uchiyama, YusukeKonno, HidetoshiDefect turbulence described by the one-dimensional complex Ginzburg–Landau equation is investigated and analyzed via a birth–death process of the local structures composed of defects, holes, and modulated amplitude waves (MAWs). All the number statistics of each local structure, in its stationary state, are subjected to Poisson statistics. In addition, the probability density functions of interarrival times of defects, lifetimes of holes, and MAWs show the existence of long-memory and some characteristic time scales caused by zigzag motions of oscillating traveling holes. The corresponding stochastic process for these observations is fully described by a non-Markovian master equation.journal articleElsevier B.V.2014-04application/pdfPhysics letters. A.20378135013550375-9601AA00774015https://tsukuba.repo.nii.ac.jp/record/31080/files/PLA_378-20.pdfeng10.1016/j.physleta.2014.03.002© 2014 Elsevier B.V. NOTICE: this is the author’s version of a work that was accepted for publication in Physics letters. A. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Physics letters. A., 378(20) 2014, DOI: 10.1016/j.physleta.2014.03.002