A rigorous implementation of the Jeans--Landau--Teller approximation

Details A rigorous implementation of the Jeans--Landau--Teller approximation A rigorous implementation of the Jeans--Landau--Teller approximation

1995-09-06

arxiv.org/abs/chao-dyn/9509006v1

Nonlinearity, 10, 479--507, 1997

Nonlinear Sciences

Chaotic Dynamics

23 pages, postscript

Scientific paper

10.1088/0951-7715/10/2/011

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 look for compensations, like in recent studies on KAM theorem homoclinic splitting.

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