Dynamics of dense discrete systems: high order effects

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The quasi-continuous formalism introduced in previous works to treat discrete systems in close to continuous conditions, is extended to include higher order discrete effects. These effects not only provide a more faithful description of the discrete problem, but for some systems are shown to be crucial for a proper description of their dynamics. Concrete examples of such systems are provided. Their dynamics is governed by new equations of motion. Typically; ut∓[u+u2]x+uxxxxt=0 and the last term models the high order discrete effect.
Original languageEnglish
Pages (from-to)1028 - 42
JournalProgress of Theoretical Physics
Issue number5
StatePublished - 1988


  • classical mechanics of discrete systems
  • lattice theory and statistics
  • random processes
  • vibrations


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