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Transition to global stochasticity in a driven Morse oscillator
Author(s) -
Yuan J. M.,
Gu Yan
Publication year - 1987
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560320773
Subject(s) - scaling , exponent , excitation , physics , dissociation (chemistry) , statistical physics , nonlinear system , morse code , harmonic oscillator , scaling law , quantum mechanics , mathematics , chemistry , geometry , philosophy , linguistics , electrical engineering , engineering
We studied the IR multiphton excitation and dissociation process of a Morse oscillator driven by an external sinusoidal field. Primary resonances and an infinite sequence of secondary resonances have been found that can be analyzed by using Chirikov's nonlinear resonance theory. The transition threshold to global stochasticity is also estimated based on the overlap criterion. Above the threshold dynamical flows are slowed down by the presence of cantori, as clearly demonstrated by the time‐dependent dissociation rates calculated for several ensembles of initial points. A scaling law is found in the vicinity of the threshold with a critical exponent in close agreement with that predicted for the standard map.