Extensive adiabatic invariants for nonlinear chains

DOI10.1007/s10955-012-0568-9zbMath1254.82021OpenAlexW2023780973MaRDI QIDQ690717

Simone Paleari, Tiziano Penati, Antonio Giorgilli

Publication date: 29 November 2012

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-012-0568-9

zbMATH Keywords

thermodynamic limitergodicityadiabatic invariantresonant normal formextensive Hamiltonian lattice

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Dynamical aspects of statistical mechanics (37A60)

Related Items (8)

Foundations of physics in Milan, Padua and Paris. Newtonian trajectories from celestial mechanics to atomic physics ⋮ Birkhoff coordinates for the Toda lattice in the limit of infinitely many particles with an application to FPU ⋮ Adiabatic invariants for the FPUT and Toda chain in the thermodynamic limit ⋮ Long time stability of small-amplitude breathers in a mixed FPU-KG model ⋮ An averaging theorem for FPU in the thermodynamic limit ⋮ A series expansion for the time autocorrelation of dynamical variables ⋮ An extensive resonant normal form for an arbitrary large Klein-Gordon model ⋮ An extensive adiabatic invariant for the Klein-Gordon model in the thermodynamic limit

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