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001 978-3-540-72995-2
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008 100301s2008 gw | s |||| 0|eng d
020 _a9783540729952
_9978-3-540-72995-2
024 7 _a10.1007/978-3-540-72995-2
_2doi
050 4 _aQC19.2-20.85
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
_2bisacsh
072 7 _aPHU
_2thema
082 0 4 _a530.1
_223
245 1 4 _aThe Fermi-Pasta-Ulam Problem
_h[electronic resource] :
_bA Status Report /
_cedited by Giovanni Gallavotti.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2008.
300 _aVII, 301 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics,
_x0075-8450 ;
_v728
505 0 _ato FPU -- Dynamics of Oscillator Chains -- Role of Chaos for the Validity of Statistical Mechanics Laws: Diffusion and Conduction -- The Fermi—Pasta—Ulam Problem and the Metastability Perspective -- Resonance, Metastability and Blow up in FPU -- Center Manifold Theory in the Context of Infinite One-Dimensional Lattices -- Numerical Methods and Results in the FPU Problem -- An Integrable Approximation for the Fermi–Pasta–Ulam Lattice.
520 _aThe 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.
650 0 _aMechanics.
650 0 _aDifferentiable dynamical systems.
650 0 _aDifferential equations, partial.
650 0 _aStatistical physics.
650 1 4 _aTheoretical, Mathematical and Computational Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19005
650 2 4 _aClassical Mechanics.
_0http://scigraph.springernature.com/things/product-market-codes/P21018
650 2 4 _aDynamical Systems and Ergodic Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M1204X
650 2 4 _aComplex Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P33000
650 2 4 _aPartial Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12155
650 2 4 _aStatistical Physics and Dynamical Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P19090
700 1 _aGallavotti, Giovanni.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642092091
776 0 8 _iPrinted edition:
_z9783540839378
776 0 8 _iPrinted edition:
_z9783540729945
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v728
856 4 0 _uhttps://doi.org/10.1007/978-3-540-72995-2
912 _aZDB-2-PHA
912 _aZDB-2-LNP
999 _c10214
_d10214