A rigorous implementation of the Jeans-Landau-Teller approximation for adiabatic invariants
Articolo
Data di Pubblicazione:
1997
Citazione:
A rigorous implementation of the Jeans-Landau-Teller approximation for adiabatic invariants / G. Benettin, A. Carati, G. Gallavotti. - In: NONLINEARITY. - ISSN 0951-7715. - 10:2(1997), pp. 479-505.
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
mathematics (all); applied mathematics; statistical and nonlinear physics; mathematical physics
Elenco autori:
G. Benettin, A. Carati, G. Gallavotti
Link alla scheda completa:
Link al Full Text: