Astronomy and Astrophysics – Astrophysics
Scientific paper
Jan 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995nyasa.773..205l&link_type=abstract
Waves in Astrophysics, vol. Volume 773, p. 205-220
Astronomy and Astrophysics
Astrophysics
Diffusion, Equipartition Theorem, Oscillators, Nonlinear Systems, Coupled Modes, Hamiltonian Functions, Resonance, Stochastic Processes, Time Dependence
Scientific paper
We examine Arnold diffusion for two systems: (1) weakly coupled standard mappings, for which the nonlinearity and coupling parameters can be separately controlled and explicit calculation of the diffusion rate can be found; and (2) the FPU (Fermi-Pasta-Ulman) coupled oscillator chain for which the Arnold diffusion occurs indirectly through the interaction of resonances. The results are used to shed light on the various general calculations of the upper-bound scaling of Arnold diffusion. Results indicate that in the parameter ranges that are computationally accessible the nonlinearity parameter that governs the diffusion rate is much larger than that allowed in the upper-bound calculations. In both cases a three-resonance model can be used to understand the diffusion. In the case of weakly coupled standard maps, a quantitative calculation can be made that agrees well with numerical results. The scaling of diffusion that satisfies a power law remains to be investigated.
No associations
LandOfFree
Arnold Diffusion and Equipartition in an Oscillator Chain does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Arnold Diffusion and Equipartition in an Oscillator Chain, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Arnold Diffusion and Equipartition in an Oscillator Chain will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-836745