論文

査読有り
2018年2月28日

Universality in chaos: Lyapunov spectrum and random matrix theory

Physical Review E
  • Masanori Hanada
  • ,
  • Hidehiko Shimada
  • ,
  • Masaki Tezuka

97
2
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1103/PhysRevE.97.022224
出版者・発行元
American Physical Society

We propose the existence of a new universality in classical chaotic systems when the number of degrees of freedom is large: the statistical property of the Lyapunov spectrum is described by random matrix theory. We demonstrate it by studying the finite-time Lyapunov exponents of the matrix model of a stringy black hole and the mass-deformed models. The massless limit, which has a dual string theory interpretation, is special in that the universal behavior can be seen already at t=0, while in other cases it sets in at late time. The same pattern is demonstrated also in the product of random matrices.

リンク情報
DOI
https://doi.org/10.1103/PhysRevE.97.022224
URL
http://www.scopus.com/inward/record.url?eid=2-s2.0-85043453255&partnerID=MN8TOARS
URL
http://orcid.org/0000-0002-6713-9002

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