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原文連結
論文資訊
- 類型：已發表論文
- 日期：2016-12-23
摘要
In the present work we study the Fermi-Pasta-Ulam (FPU) beta-model involving long-range interactions (LRI) in both the quadratic and quartic potentials, by introducing two independent exponents alpha(1) and alpha(2) respectively, which make the forces decay with distance r. Our results demonstrate that weak 混沌, in the sense of decreasing 李雅普諾夫 exponents, and q-Gaussian probability density functions (pdfs) of sums of the momenta, occurs only when long-range interactions are included in the quartic part. More importantly, for 0 <= alpha(2) < 1, we obtain extrapolated values for q equivalent to q(infinity) > 1, as N -> infinity, suggesting that these pdfs persist in that limit. On the other hand, when long-range interactions are imposed only on the quadratic part, strong 混沌 and purely Gaussia
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