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. © American Institute of Mathematical Sciences.
Variational evolution of one-dimensional Lennard-Jones systems / Braides, A.; Defranceschi, A.; Vitali, E.. - In: NETWORKS AND HETEROGENEOUS MEDIA. - ISSN 1556-1801. - 9:2(2014), pp. 217-238. [10.3934/nhm.2014.9.217]
Variational evolution of one-dimensional Lennard-Jones systems
Braides A.;
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. © American Institute of Mathematical Sciences.File in questo prodotto:
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