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

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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).

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Authors and Affiliations

  1. Dipartimento di Matematica Pura e Applicata, Università di Padova, GNFM (CNR), 35131, Padova, Italy

    Giancarlo Benettin

  2. Dipartimento di Matematica Pura e Applicata, INFM, 35131, Padova, Italy

    Giancarlo Benettin

  3. Dipartimento di Matematica Pura e Applicata, Università di Padova and GNFM (CNR), 35131, Padova, Italy

    Andrea Carati

  4. Dipartimento di Fisica “G. Galilei”, Università di Padova and INFM, 35131, Padova, Italy

    Paolo Sempio

Authors
  1. Giancarlo Benettin
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  2. Andrea Carati
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  3. Paolo Sempio
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Benettin, G., Carati, A. & Sempio, P. On the Landau-Teller approximation for energy exchanges with fast degrees of freedom. J Stat Phys 73, 175–192 (1993). https://doi.org/10.1007/BF01052756

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  • DOI: https://doi.org/10.1007/BF01052756

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