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On ergodic properties for harmonic crystals

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Abstract

We consider the dynamics of a harmonic crystal in n dimensions with d components, where d and n are arbitrary, d, n ⩾ 1. The initial data are given by a random function with finite mean energy density which also satisfies a Rosenblatt-or Ibragimov-type mixing condition. The random function is close to diverse space-homogeneous processes as x n → ±∞, with the distributions μ±. We prove that the phase flow is mixing with respect to the limit measure of statistical solutions.

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Authors and Affiliations

  1. Elektrostal Polytechnical Institute, Elektrostal, 144000, Russia

    T. V. Dudnikova

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  1. T. V. Dudnikova
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Partially supported by RFBR under grant no. 06-01-00096.

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Dudnikova, T.V. On ergodic properties for harmonic crystals. Russ. J. Math. Phys. 13, 123–130 (2006). https://doi.org/10.1134/S1061920806020014

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  • DOI: https://doi.org/10.1134/S1061920806020014

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