The one-dimensional Lennard-Jones system

collective fluctuations and breakdown of hydrodynamics

S Lepri, P Sandri, A Politi

Research output: Contribution to journalArticle

18 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)549-555
Number of pages7
JournalThe European Physical Journal B - Condensed Matter and Complex Systems
Volume47
Issue number4
DOIs
Publication statusPublished - Oct 2005

Keywords

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

Cite this

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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.",
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author = "S Lepri and P Sandri and A Politi",
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TY - JOUR

T1 - The one-dimensional Lennard-Jones system

T2 - collective fluctuations and breakdown of hydrodynamics

AU - Lepri, S

AU - Sandri, P

AU - Politi, A

PY - 2005/10

Y1 - 2005/10

N2 - 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.

AB - 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.

KW - single-file diffusion

KW - mode-coupling theory

KW - molecular-dynamics

KW - thermal-conductivity

KW - heat-conduction

KW - fluids

KW - chain

KW - fracture

KW - lattices

U2 - 10.1140/epjb/e2005-00360-7

DO - 10.1140/epjb/e2005-00360-7

M3 - Article

VL - 47

SP - 549

EP - 555

JO - The European Physical Journal B - Condensed Matter and Complex Systems

JF - The European Physical Journal B - Condensed Matter and Complex Systems

SN - 1434-6028

IS - 4

ER -