Skip to Main content Skip to Navigation
Journal articles

Targeted energy transfer between a Rotor and a Morse oscillator: A model for selective chemical dissociation

Abstract : Standard Kramers theory of chemical reactions involves a coupling with a Langevin thermal bath which intrinsically forbids the possible existence of Discrete Breathers (DBs) (i.e. local modes). However, it is now known that in complex systems, that energy may focus for long time as Discrete Breathers (local mode). In very special systems, targeted energy transfer may occur subsequently to another selected site and induces an ultraselective chemical reaction operating at low temperature. The dynamics of the reaction is non brownian but highly coherent along a specific path in the phase space where the system is nearly integrable (chemical expressway). A simple toy model illustrating this idea is reduced to a Rotor weakly coupled to a Morse oscillator (supposed to represent two specific local modes in a complex system) which are appropriately tuned for targeted energy transfer. When the Rotor is initially rotating with a frequency resonant with those of theMorse oscillator at rest, the energy of the Rotor is almost completely transferred to the Morse oscillator and induces chemical dissociation. The periodic oscillations of the Rotor andMorse oscillator remain coherent and their frequencies simultaneously vary, but always remain resonant. This process is analytically described within an integrable approximation. Numerical investigations of this model confirm that in the appropriate conditions, the particle in the Morse oscillator is indeed promptly ejected at infinity with a finite velocity (chemical dissociation) despite some chaotic transient manifesting imperfect integrability.
Complete list of metadatas

Cited literature [14 references]  Display  Hide  Download

https://hal.univ-brest.fr/hal-00713109
Contributor : Antony Memboeuf <>
Submitted on : Friday, June 29, 2012 - 12:43:35 PM
Last modification on : Monday, February 10, 2020 - 6:12:13 PM
Long-term archiving on: : Sunday, September 30, 2012 - 2:25:25 AM

File

2005_1_TET-Morse-Rotor_Memboeu...
Publisher files allowed on an open archive

Identifiers

Citation

Antony Memboeuf, Serge Aubry. Targeted energy transfer between a Rotor and a Morse oscillator: A model for selective chemical dissociation. Physica D: Nonlinear Phenomena, Elsevier, 2005, 207 (1-2), pp.1-23. ⟨10.1016/j.physd.2005.05.016⟩. ⟨hal-00713109⟩

Share

Metrics

Record views

467

Files downloads

477