• Medientyp: Sonstige Veröffentlichung; E-Book; Bericht
  • Titel: Distribution of cracks in a chain of atoms at low temperature
  • Beteiligte: Jansen, Sabine [VerfasserIn]; König, Wolfgang [VerfasserIn]; Schmidt, Bernd [VerfasserIn]; Theil, Florian [VerfasserIn]
  • Erschienen: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2020
  • Sprache: Englisch
  • DOI: https://doi.org/10.20347/WIAS.PREPRINT.2789
  • Schlagwörter: 60F10 ; 74B20 ; 82B21 ; Equilibrium statistical mechanics -- atomistic models of elasticity -- fracture -- lattice gas of defects ; 74G65 ; article
  • Entstehung:
  • Anmerkungen: Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen.
  • Beschreibung: We consider a one-dimensional classical many-body system with interaction potential of Lennard--Jones type in the thermodynamic limit at low temperature 1/β ∈ (0, ∞). The ground state is a periodic lattice. We show that when the density is strictly smaller than the density of the ground state lattice, the system with N particles fills space by alternating approximately crystalline domains (clusters) with empty domains (voids) due to cracked bonds. The number of domains is of the order of N exp(-β e surf /2) with e surf > 0 a surface energy.