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• W2045551045 startingPage "6647" @default.
• W2045551045 abstract "The thermodynamic formalism for dynamical systems is applied to a class of mappings of ``laminar-turbulent'' temporal intermittency. The corresponding statistical system is shown to be a lattice gas with many-body interactions of clustering type. This one-dimensional system bears a close analogy with the Fisher-Felderhof droplet model of condensation. The abnormal dynamic fluctuations give rise to a phase transition. The critical behaviors, which depend solely on the characteristic exponent z of the original map, are studied analytically, and a number of unexpected results are obtained. In the pressure-temperature plane, the intermittant state is located on a critical line that separates the chaotic (``turbulent'') state from the periodic (``laminar'') state. The transition from one phase to the other may be of first order if z<2. On the other hand, for 2ensuremath{le}z, the ``sporadic state'' introduced by Gaspard and Wang [Proc. Natl. Acad. Sci. U.S.A. 85, 4591 (1988)] is existent and corresponds to a codimension-two point on the critical curve." @default.
• W2045551045 created "2016-06-24" @default.
• W2045551045 creator A5016324535 @default.
• W2045551045 date "1989-12-01" @default.
• W2045551045 modified "2023-09-27" @default.
• W2045551045 title "Statistical physics of temporal intermittency" @default.
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• W2045551045 doi "https://doi.org/10.1103/physreva.40.6647" @default.
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