Time scale for energy equipartition in a two-dimensional FPU model

DOI10.1063/1.1854278zbMath1080.82009OpenAlexW2063056672WikidataQ51975920 ScholiaQ51975920MaRDI QIDQ5705487

Giancarlo Benettin

Publication date: 8 November 2005

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1854278

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Lattice dynamics; integrable lattice equations (37K60)

Related Items

Carlo Cercignani's interests for the foundations of physics, Wave turbulence and thermalization in one-dimensional chains, Numerical studies on boundary effects on the FPU paradox, Time-scales to equipartition in the Fermi-Pasta-Ulam problem: finite-size effects and thermodynamic limit, The Fermi-Pasta-Ulam problem: periodic orbits, normal forms and resonance overlap criteria, The Fermi–Pasta–Ulam problem as a challenge for the foundations of physics, Extensive adiabatic invariants for nonlinear chains, The experimental localization of Aubry–Mather sets using regularization techniques inspired by viscosity theory, Justification of the KP-II approximation in dynamics of two-dimensional FPU systems, Metastability phenomena in two-dimensional rectangular lattices with nearest-neighbour interaction

Cites Work

• Unnamed Item
• On the definition of temperature in FPU systems
• Chaos and the approach to equilibrium in a discrete sine-Gordon equation
• On the specific heat of Fermi-Pasta-Ulam systems and their glassy behavior
• Chaotic behavior in nonlinear Hamiltonian systems and equilibrium statistical mechanics.
• Exponentially long times to equipartition in the thermodynamic limit
• Korteweg–de Vries equation and energy sharing in Fermi–Pasta–Ulam
• Heat conduction in two-dimensional nonlinear lattices