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Has files: Yes × Subject: atomistic models of elasticity ×

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    Distribution of cracks in a chain of atoms at low temperature
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2020) Jansen, Sabine; König, Wolfgang; Schmidt, Bernd; Theil, Florian
    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.