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One-dimensional harmonic lattice caricature of hydrodynamics: Second approximation

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Abstract

The long-time behavior of an infinite chain of coupled harmonic oscillators is studied. In addition to a limiting “hydrodynamic” (Euler-type) equation, the “next approximation” is investigated. The corresponding equation is derived.

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Authors and Affiliations

  1. Institute for Problems of Information Transmission, USSR Academy of Sciences, GSP-4, 101447, Moscow, USSR

    R. L. Dobrushin, A. Pellegrinotti & Yu. M. Suhov

  2. Dipartimento di Matematica, Universita' di Roma “La Sapienza”, 00100, Rome, Italy

    A. Pellegrinotti

  3. GNFM-CNR, Italy

    A. Pellegrinotti

  4. Research Center BiBoS, Universität Bielefeld, D-4800, Bielefeld, Federal Republic of Germany

    Yu. M. Suhov

  5. Dipartimento di Metodi e Modelli Matematici, Universita' di Roma “La Sapienza”, 00100, Rome, Italy

    L. Triolo

  6. GNFM-CNR, Italy

    L. Triolo

Authors
  1. R. L. Dobrushin
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  2. A. Pellegrinotti
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  3. Yu. M. Suhov
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  4. L. Triolo
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Dobrushin, R.L., Pellegrinotti, A., Suhov, Y.M. et al. One-dimensional harmonic lattice caricature of hydrodynamics: Second approximation. J Stat Phys 52, 423–439 (1988). https://doi.org/10.1007/BF01016423

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  • DOI: https://doi.org/10.1007/BF01016423

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