Vibrational relaxation and energy localization in polyatomics: Effects of high-order resonances on flow rates and the quantum ergodicity transition

被引:61
作者
Leitner, DM
Wolynes, PG
机构
[1] Department of Chemistry, University of Illinois, Urbana
关键词
D O I
10.1063/1.472920
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
That high-order resonances may be involved in determining rates of vibrational relaxation in highly excited molecules has been recognized for some time. In this paper, high-order resonances are shown to play a central role in establishing the transition to ergodic flow, which we call the quantum ergodicity transition, at low energy in many-dimensional systems. The location of the transition to global vibrational flow in a system of coupled nonlinear oscillators is found to be generally sensitive to high-order resonances. On the other hand, except immediately above the transition, rates of flow once established depend primarily on the familiar low-order terms until the molecule reaches much higher excitation. Both the orders of resonant coupling terms in the vibrational Hamiltonian important in determining the transition to ergodicity, and the orders relevant for determining vibrational relaxation rates in large molecules are found to scale in a simple way with the strength of resonant coupling terms and the size of the molecule. (C) 1996 American Institute of Physics.
引用
收藏
页码:11226 / 11236
页数:11
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