Geometric approach to multiple-time-scale kinetics: a nonlinear master equation describing vibration-to-vibration relaxation.
A geometric approach to the study of multiple-time-scale kinetics is taken here. The approach to equilibrium for kinetic systems is studied via low-dimensional manifolds, with an application to a nonlinear master equation for vibrational relaxation. One of our main concerns is the asymptotic (in time) behavior of the system and whether there is a well-defined rate of approach to equilibrium. One-dimensional slow manifolds provide a good means for studying such behavior in nonlinear systems, because they are the analogue of the eigenvector with least negative eigenvalue for linear kinetics.
- Research Organization:
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- DOE Contract Number:
- DE-AC02-06CH11357
- OSTI ID:
- 943165
- Report Number(s):
- ANL/CHM/JA-37965; ZPCFAX; TRN: US201002%%563
- Journal Information:
- Z. Phys. Chem., Vol. 215, Issue Pt. 2 ; 2001; ISSN 0942-9352
- Country of Publication:
- United States
- Language:
- ENGLISH
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