The Fermi-Pasta-Ulam Problem A Status Report /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Gallavotti, Giovanni (Editor)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Series: Lecture Notes in Physics, 728
• Subjects: Physics.; Dynamics.; Ergodic theory.; Partial differential equations.; Mechanics.; Statistical physics.; Dynamical systems.; Theoretical, Mathematical and Computational Physics.; Dynamical Systems and Ergodic Theory.; Statistical Physics, Dynamical Systems and Complexity.; Partial Differential Equations.

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 understa...

Table of Contents:

• to 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.