• Medientyp: Sonstige Veröffentlichung; E-Book; Bericht
  • Titel: Micro-macro transitions by interpolation, smoothing, averaging and scaling of particle trajectories
  • Beteiligte: Dreyer, Wolfgang [VerfasserIn]; Guckel, Ralf [VerfasserIn]
  • Erschienen: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2002
  • Sprache: Englisch
  • DOI: https://doi.org/10.20347/WIAS.PREPRINT.725
  • Schlagwörter: 35Dxx ; Micro-macro transitions -- Multiscale problems -- Young measures ; article
  • Entstehung:
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  • Beschreibung: We consider a Newtonian system of many diatomicmolecules each of which consisting of two atoms of equal mass whichare separated by a fixed distance. The barycenters are allowed to movealong some fixed straight line. Moreover each molecule has an additionalrotational degree of freedom. The atoms of neighbouring moleculesinteract to each other by a generic pair potential. By means of thisexample we propose a new method for deriving macroscopic models from microscopic ones. The method is based on the definition of macroscopicobservables and the derivation of corresponding balance laws by interpolation smoothing/averaging and subsequent scaling of particle trajectories.