CHAOTIC SCATTERING IN REACTIVE COLLISIONS - A CLASSICAL-ANALYSIS

被引:39
作者
KOVACS, Z [1 ]
WIESENFELD, L [1 ]
机构
[1] UNIV GRENOBLE 1,SPECTROMETRIE PHYS LAB,F-38402 ST MARTIN DHERES,FRANCE
来源
PHYSICAL REVIEW E | 1995年 / 51卷 / 06期
关键词
D O I
10.1103/PhysRevE.51.5476
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The method of classical trajectories is used to model indirect reactive collisions of three collinear atoms. A very simple yet representative potential is considered: two kinematically coupled Morse potentials. The collision process displays chaotic scattering in the whole range of energy of interest. This transient chaos is studied in detail through a hierarchic analysis of the singularities of the time delay function. A ternary organization is found in the set of scattering trajectories built on a similar structure of the nonattracting chaotic set of bounded orbits. The origin of the ternary structure is explained in terms of simple periodic orbits and their invariant manifolds. Tools of the thermodynamical formalism are used to extract global quantities characterizing the scattering process. The implications of our findings from the point of view of chemical reactivity studies are also discussed. © 1995 The American Physical Society.
引用
收藏
页码:5476 / 5494
页数:19
相关论文
共 74 条
[1]   THE DOUBLE-MORSE WELL AND TOPOLOGICAL CHAOS [J].
BERBLINGER, M ;
SCHLIER, C .
CHEMICAL PHYSICS LETTERS, 1988, 145 (04) :299-304
[2]   BOUND-STATES EMBEDDED IN THE CONTINUUM OF H-3(+A) [J].
BERBLINGER, M ;
POLLAK, E ;
SCHLIER, C .
JOURNAL OF CHEMICAL PHYSICS, 1988, 88 (09) :5643-5656
[3]   BIFURCATION TO CHAOTIC SCATTERING [J].
BLEHER, S ;
GREBOGI, C ;
OTT, E .
PHYSICA D, 1990, 46 (01) :87-121
[4]   ROUTES TO CHAOTIC SCATTERING [J].
BLEHER, S ;
OTT, E ;
GREBOGI, C .
PHYSICAL REVIEW LETTERS, 1989, 63 (09) :919-922
[5]  
Blumel R., 1992, QUANTUM NONINTEGRABI, P397
[6]   THE ENTROPY FUNCTION FOR CHARACTERISTIC EXPONENTS [J].
BOHR, T ;
RAND, D .
PHYSICA D, 1987, 25 (1-3) :387-398
[7]   NONADIABATIC EFFECTS IN 2-LEVEL SYSTEMS - A CLASSICAL-ANALYSIS [J].
BOIRON, M ;
LOMBARDI, M ;
WIESENFELD, L .
PHYSICAL REVIEW A, 1994, 50 (02) :1409-1419
[8]   STATISTICAL BEHAVIOR OF ELEMENTARY COLLINEAR EXCHANGE-REACTIONS A+BC-]AB+C [J].
BONNET, L ;
RAYEZ, JC ;
HALVICK, P .
JOURNAL OF CHEMICAL PHYSICS, 1993, 99 (03) :1771-1784
[9]   MOLECULAR-TRANSITION STATE, RESONANCES, AND PERIODIC-ORBIT THEORY [J].
BURGHARDT, I ;
GASPARD, P .
JOURNAL OF CHEMICAL PHYSICS, 1994, 100 (09) :6395-6411
[10]  
Child M. S., 1974, MOL COLLISION THEORY