An extensive adiabatic invariant for the Klein-Gordon model in the thermodynamic limit

DOI10.1007/s00023-014-0335-3zbMath1320.82010arXiv1310.2105OpenAlexW3102768813MaRDI QIDQ2339210

Antonio Giorgilli, Tiziano Penati, Simone Paleari

Publication date: 31 March 2015

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.2105

zbMATH Keywords

stabilitythermodynamic limitpartition functionGibbs measureperturbation estimatesdecay of correlationshomological equationtime averagesnonlinear oscillator chainsinfinite chainperiodic chainextensive adiabatic invariantextensive first integralGibbs varianceHamiltonian lattice modelsKlein-Gordon lattice modelnonvanishing specific energy

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Adiabatic invariants for problems in Hamiltonian and Lagrangian mechanics (70H11) Lattice dynamics; integrable lattice equations (37K60) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)

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