On the Landau-Teller approximation for energy exchanges with fast degrees of freedom期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On the Landau-Teller approximation for energy exchanges with fast degrees of freedom

Authors:	Giancarlo Benettin Andrea Carati Paolo Sempio

Affiliation:	(1) Dipartimento di Matematica Pura e Applicata, Università di Padova, GNFM (CNR), 35131 Padova, Italy;(2) Dipartimento di Matematica Pura e Applicata, INFM, 35131 Padova, Italy;(3) Dipartimento di Matematica Pura e Applicata, Università di Padova and GNFM (CNR), 35131 Padova, Italy;(4) Dipartimento di Fisica G. Galilei, Università di Padova and INFM, 35131 Padova, Italy

Abstract:	We revisit the Landau-Teller heuristic approach to adiabatic invariants and, following Rapp, use it to investigate the energy exchanges between the different degrees of freedom, in simple Hamiltonian systems describing the collision of fast rotating or vibrating molecules with a fixed wall. We critically compare the theoretical results with particularly accurate numerical computations (quite small energy exchanges, namely of one part over 10³⁰, are measured).

Keywords:	Energy sharing molecular collisions equilibrium times adiabatic invariants Landau-Teller method numerical simulation
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