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 q2 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.
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Lepri, S., Sandri, P. & Politi, A. The one-dimensional Lennard-Jones system: collective fluctuations and breakdown of hydrodynamics. Eur. Phys. J. B 47, 549–555 (2005). https://doi.org/10.1140/epjb/e2005-00360-7
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DOI: https://doi.org/10.1140/epjb/e2005-00360-7