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The one-dimensional Lennard-Jones system: collective fluctuations and breakdown of hydrodynamics

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  • S. Lepri
  • P. Sandri
  • A. Politi

Abstract

The dynamical correlations of a model consisting of particles constrained on the line and interacting with a nearest-neighbour Lennard-Jones potential are computed by molecular-dynamics simulations. A drastic qualitative change of the spectral shape, from a phonon-like to a diffusive form, is observed upon reducing the particle density even ad moderate temperatures. The latter scenario is due to the spontaneous fragmentation of the crystal-like structure into an ensemble of “clusters" colliding among themselves. In both cases, the spectral linewidths do not follow the usual q 2 behaviour for small wavenumbers q, thus signalling a breakdown of linearized hydrodynamics. This anomaly is traced back by the presence of correlations due to the reduced dimensionality. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005

Suggested Citation

  • S. Lepri & P. Sandri & A. Politi, 2005. "The one-dimensional Lennard-Jones system: collective fluctuations and breakdown of hydrodynamics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 47(4), pages 549-555, October.
    • Handle: RePEc:spr:eurphb:v:47:y:2005:i:4:p:549-555
    DOI: 10.1140/epjb/e2005-00360-7
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    Cited by:

    1. Livi, Roberto, 2023. "Anomalous transport in low-dimensional systems: A pedagogical overview," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 631(C).

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