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.
|Pages (from-to)||1028 - 42|
|Journal||Progress of Theoretical Physics|
|State||Published - 1988|
- classical mechanics of discrete systems
- lattice theory and statistics
- random processes