Boundary Layer Energies in Discrete Systems: an Approach via Γ-convergence

Marco Cicalese

Abstract


Object of this talk is the variational description by
convergence of the boundary layer phenomenon arising in pair-interaction lattice systems in a bounded set
.

We present several examples in phase transitions, fracture
mechanics, dimension reduction and spin systems physics in which
it is possible to show that, properly scaling the stored energy, a
non vanishing contribution due to the behaviour of the system at
the boundary of appears.

[DOI: 10.1685 / CSC06045] About DOI

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DOI: http://dx.doi.org/10.1685/




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