本頁只刊出中文翻譯與中文說明；英文原文請見下方原文連結。
原文連結
論文資訊
- 類型：已發表論文
- 日期：2014-11-01
摘要
We study a long-range-interaction generalisation of the one-dimensional Fermi-PastaUlam (FPU) beta-model, by introducing a quartic interaction coupling constant that decays as 1/r(alpha) (alpha = 0) (with strength characterised by b > 0). In the alpha -> infinity limit we recover the original FPU model. Through molecular dynamics we show that i) for alpha >= 1 the maximal 李雅普諾夫 exponent remains finite and positive for an increasing number of oscillators N, whereas, for 0 <= alpha < 1, it asymptotically decreases as N-kappa(alpha); ii) the distribution of time-averaged velocities is Maxwellian for a large enough, whereas it is well approached by a q-Gaussian, with the index q(alpha) monotonically decreasing from about 1.5 to 1 (Gaussian) when a increases from zero to close to one. For a sma
※ 此為已發表論文，全文需透過期刊付費取得