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Fluctuations in a one-dimensional mechanical system. I. The Euler limit

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Abstract

We prove the central limit theorem for the density fluctuation field of a one-dimensional mechanical system (hard rods with equal masses and lengths and elastic collisions) in the hydrodynamic limit on the Euler time scale. The limiting process is deterministic and is governed by the linearized Euler equations of the model.

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Author notes

  1. W. David Wick

    Present address: Mathematics Department, University of Colorado, Boulder, Colorado

Authors and Affiliations

  1. Dipartimento di Matematica e Physica, Universita di Camerino, 62032, Camerino, Italy

    C. Boldrighini

  2. Department of Mathematics, University of Texas at Austin, 78712, Austin, Texas

    W. David Wick

Authors
  1. C. Boldrighini
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  2. W. David Wick
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Boldrighini, C., David Wick, W. Fluctuations in a one-dimensional mechanical system. I. The Euler limit. J Stat Phys 52, 1069–1095 (1988). https://doi.org/10.1007/BF01019740

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  • DOI: https://doi.org/10.1007/BF01019740

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