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Volumn 65, Issue 14, 1990, Pages 1693-1696

Transport properties, Lyapunov exponents, and entropy per unit time

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Indexed keywords


EID: 0001437632     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.65.1693     Document Type: Article
Times cited : (270)

References (49)
  • 1
    • 84927864719 scopus 로고    scopus 로고
    • A. J. Lichtenberg and M. A. Liberman, Regular and Stochastic Motion (Springer-Verlag, New York, 1983); V. I. Arnold and A. Avez, Ergodic Problems of Classical Mechanics (Benjamin, New York, 1968); P. Billingsley, Ergodic Theory and Information (Wiley, New York, 1965); Dynamical Systems II, edited by Ya. G. Sinai (Springer-Verlag, Berlin, 1989).
  • 5
    • 84927864717 scopus 로고    scopus 로고
    • Ya. B. Pesin, Math. U.S.S.R.-Izv. 10 (6), 1261 (1976); Russian Math. Surveys 32 (4), 55 (1977).
  • 16
    • 84927864716 scopus 로고    scopus 로고
    • 78, 479 (1980).
  • 19
    • 84927864715 scopus 로고    scopus 로고
    • Ya. G. Sinai, Russian Math. Surveys 25 (2), 137 (1970);
  • 22
    • 84927864714 scopus 로고    scopus 로고
    • a generalization of Eq. (4) to higher-dimensional billiards will be found in Ya. G. Sinai and N. I. Chernov, Russian Math. Surveys 42 (3), 181 (1987).
  • 30
    • 84927864713 scopus 로고    scopus 로고
    • In higher-dimensional dynamical systems, Eq. (8) generalizes to γ = tsumλi> 0 λi- hKS; see Ref. 2.
  • 32
    • 84927864712 scopus 로고    scopus 로고
    • In higher-dimensional billiards, like the Lorentz gas of hard spheres fixed in space, Eq. (12) becomes scrD = limL-> inf ( L / π )2 times [ tsumλi> 0 λi( scrFL) - hKS( scrFL) ].


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.