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原文連結
論文資訊
- 類型：已發表論文
- 日期：2012-03-30
摘要
In a recent paper [M. Leo, R. A. Leo, and P. Tempesta, J. Stat. Mech. (2011) P03003], it has been shown that the pi/2-mode exact 非線性 solution of the Fermi-Pasta-Ulam beta system, with periodic boundary conditions, admits two energy density thresholds. For values of the energy density epsilon below or above these thresholds, the solution is stable. Between them, the behavior of the solution is unstable, first recurrent and then chaotic. In this paper, we study the chaotic behavior between the two thresholds from a 統計 point of view, by analyzing the distribution function of a dynamical variable that is zero when the solution is stable and fluctuates around zero when it is unstable. For mesoscopic systems clear numerical evidence emerges that near the second threshold, in a large range of the
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