Rigorous bounds on the rate of energy exchanges between vibrational and translational degrees of freedom are established in simple classical models of diatomic molecules. The results are in agreement with an elementary approximation introduced by Landau and Teller. The method is perturbative theory 'beyond all orders', with diagrammatic techniques (tree expansions) to organize and manipulate terms, and to look for compensations, like in recent studies on KAM theorem homoclinic splitting.
A rigorous implementation of the Landau-Teller approximation for adiabatic invariants
BENETTIN, GIANCARLO;
1997
Abstract
Rigorous bounds on the rate of energy exchanges between vibrational and translational degrees of freedom are established in simple classical models of diatomic molecules. The results are in agreement with an elementary approximation introduced by Landau and Teller. The method is perturbative theory 'beyond all orders', with diagrammatic techniques (tree expansions) to organize and manipulate terms, and to look for compensations, like in recent studies on KAM theorem homoclinic splitting.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
