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From ergodic to non-ergodic chaos in Rosenzweig-Porter model

AuthorsPino, Manuel; Tabanera, J.; Serna, P.
Issue Date22-Nov-2019
PublisherInstitute of Physics Publishing
CitationJournal of Physics A: Mathematical and Theoretical 52: 47 (2019)
AbstractThe Rosenzweig-Porter model is a one-parameter family of random matrices with three different phases: ergodic, extended non-ergodic and localized. We characterize numerically each of these phases and the transitions between them. We focus on several quantities that exhibit non-analytical behaviour and show that they obey the scaling hypothesis. Based on this, we argue that non-ergodic chaotic and ergodic regimes are separated by a continuous phase transition, similarly to the transition between non-ergodic chaotic and localized phases.
Description14 pags., 5 figs.,
Publisher version (URL)http://dx.doi.org/10.1088/1751-8121/ab4b76
Identifiersdoi: 10.1088/1751-8121/ab4b76
issn: 1751-8121
Appears in Collections:(CFMAC-IFF) Artículos
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