Dynamics of a nonlinear master equation: Low-dimensional manifolds and the nature of vibrational relaxation

2002 ◽  
Vol 116 (18) ◽  
pp. 7828-7838 ◽  
Author(s):  
Michael J. Davis
Keyword(s):  
Master Equation ◽  
Vibrational Relaxation ◽  
Nonlinear Master Equation ◽  
Low Dimensional

Geometric Approach to Multiple-Time-Scale Kinetics: A Nonlinear Master Equation Describing Vibration-to-Vibration Relaxation

2001 ◽  
Vol 215 (2) ◽  
Author(s):  
M.J. Davis ◽  
R.T. Skodje
Keyword(s):  
Master Equation ◽  
Time Scale ◽  
Geometric Approach ◽  
Negative Eigenvalue ◽  
Multiple Time ◽  
Time Behavior ◽  
Multiple Time Scale ◽  
Approach To Equilibrium ◽  
Nonlinear Master Equation ◽  
Low Dimensional

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.

Vibrational relaxation of N2OAr and CH4Ar mixtures. Shock tube experiments and master equation calculations

1986 ◽  
Vol 104 (1) ◽  
pp. 107-122 ◽  
Author(s):  
Zein Baalbaki ◽  
Heshel Teitelbaum ◽  
John E. Dove ◽  
Wing S. Nip
Keyword(s):  
Shock Tube ◽  
Master Equation ◽  
Vibrational Relaxation

Vibrational Relaxation and Dissociation Behind Shock Waves Part 2: Master Equation Modeling

AIAA Journal ◽  
1995 ◽  
Vol 33 (6) ◽  
pp. 1070-1075 ◽  
Author(s):  
Igor V. Adamovich ◽  
Sergey O. Macheret ◽  
J. William Rich ◽  
Charles E. Treanors
Keyword(s):  
Shock Waves ◽  
Master Equation ◽  
Vibrational Relaxation ◽  
Equation Modeling

scholarly journals Entropic Distance for Nonlinear Master Equation

Universe ◽  
2018 ◽  
Vol 4 (1) ◽  
pp. 10 ◽  
Author(s):  
Tamás Biró ◽  
András Telcs ◽  
Zoltán Néda
Keyword(s):  
Master Equation ◽  
Entropic Distance ◽  
Nonlinear Master Equation

An asymptotic expansion of the nonlinear master equation

1977 ◽  
Vol 16 (2) ◽  
pp. 201-215 ◽  
Author(s):  
W. Horsthemke ◽  
M. Malek-Mansour ◽  
B. Hayez
Keyword(s):  
Asymptotic Expansion ◽  
Master Equation ◽  
Nonlinear Master Equation
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