书目名称 | The Fermi-Pasta-Ulam Problem |
副标题 | A Status Report |
编辑 | Giovanni Gallavotti |
视频video | http://file.papertrans.cn/910/909656/909656.mp4 |
概述 | Comprehensive set of reviews on the questions raised by the FPU experiment and the answers and approaches known 50 years later.With a reprint of the original FPU paper.Includes supplementary material: |
丛书名称 | Lecture Notes in Physics |
图书封面 |  |
描述 | .The apparent contradiction of the results of the Fermi-Pasta-Ulam experiment conducted in 1953 and 1954 with the hypothesis that essentially any nonlinearity would lead to a system exhibiting ergodic behaviour has become known as the Fermi-Pasta-Ulam Problem. This volume reviews the current understanding of this paradox without trying to force coherence on differing perspectives on the same problem by various groups or approaches. The contributions comprise studies of one-dimensional chains, descriptions of numerical methods, heuristic theories, addressing the “long standing and controversial problem of distinguishing chaos from noise in signal analysis,” metastability, the relation of the FPU motions with the integrable equations, approaches using methods of perturbation theory and the proof of the applicability of KAM theory in FPU chains with energy very close to a minimum. For the convenience of the reader the original work of FPU is reprinted in an appendix. The order of the contributions reflects the aim of leading the interested but inexperienced reader through gradual understanding, starting from general analysis, and proceeding towards more specialized topics.. |
出版日期 | Book 2008 |
关键词 | FPU experiment; Integrable systems; KdV equation; Statistical Mechanics; dynamical systems; ergodic hypot |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-540-72995-2 |
isbn_softcover | 978-3-642-09209-1 |
isbn_ebook | 978-3-540-72995-2Series ISSN 0075-8450 Series E-ISSN 1616-6361 |
issn_series | 0075-8450 |
copyright | Springer-Verlag Berlin Heidelberg 2008 |