We analyze Lennard-Jones systems from the standpoint of variational principles beyond the static framework. In a one-dimensional setting such systems have already been shown to be equivalent to energies of Fracture Mechanics. Here we show that this equivalence can also be given in dynamical terms using the notion of minimizing movements.

Variational evolution of one dimensional Lennard-Jones systems

VITALI, ENRICO
2014-01-01

Abstract

We analyze Lennard-Jones systems from the standpoint of variational principles beyond the static framework. In a one-dimensional setting such systems have already been shown to be equivalent to energies of Fracture Mechanics. Here we show that this equivalence can also be given in dynamical terms using the notion of minimizing movements.
2014
The Mathematics category includes resources dealing with mathematics, applied mathematics, statistics and probability.
Esperti anonimi
Inglese
Internazionale
ELETTRONICO
9
2
217
238
22
Lennard-Jones systems; variational evolution; minimizing movements; Fracture Mechanics
3
info:eu-repo/semantics/article
262
Braides, A.; Defranceschi, A.; Vitali, Enrico
1 Contributo su Rivista::1.1 Articolo in rivista
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/888834
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