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

S Lepri, P Sandri, A Politi

Research output: Contribution to journalArticlepeer-review

24 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)549-555
Number of pages7
JournalThe European Physical Journal B - Condensed Matter and Complex Systems
Issue number4
Publication statusPublished - Oct 2005


  • single-file diffusion
  • mode-coupling theory
  • molecular-dynamics
  • thermal-conductivity
  • heat-conduction
  • fluids
  • chain
  • fracture
  • lattices


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