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• W2032518070 abstract "The leading Pollicott-Ruelle resonance is calculated analytically for a general class of two-dimensional area-preserving maps. Its wave number dependence determines the normal transport coefficients. In particular, a general exact formula for the diffusion coefficient D is derived without any high stochasticity approximation, and a new effect emerges: The angular evolution can induce fast or slow modes of diffusion even in the high stochasticity regime. The behavior of D is examined for three particular cases: (i) the standard map, (ii) a sawtooth map, and (iii) a Harper map as an example of a map with a nonlinear rotation number. Numerical simulations support this formula." @default.
• W2032518070 created "2016-06-24" @default.
• W2032518070 creator A5022821670 @default.
• W2032518070 date "2007-07-05" @default.
• W2032518070 modified "2023-09-27" @default.
• W2032518070 title "Leading Pollicott-Ruelle Resonances and Transport in Area-Preserving Maps" @default.
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• W2032518070 doi "https://doi.org/10.1103/physrevlett.99.014101" @default.
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