33 citations · 128 across the 30 of their papers we have counts for
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math.FA2009
Asymptotic analysis of a second-order singular perturbation model for phase transitions
Marco Cicalese, Emanuele Nunzio Spadaro, Caterina Ida Zeppieri
We consider the problem of the asymptotic description of a family of energies introduced by Coleman and Mizel in the theory of nonlinear second-order materials depending on an extr…
math-ph2009
Variational equivalence between Ginzburg-Landau, XY spin systems and screw dislocations energies
R. Alicandro, M. Cicalese, M. Ponsiglione
We introduce and discuss discrete two-dimensional models for XY spin systems and screw dislocations in crystals. We prove that, as the lattice spacing $\e$ tends to zero, the relev…