Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Orlando, Gianluca"'
In the limit of vanishing lattice spacing we provide a rigorous variational coarse-graining result for a next-to-nearest neighbor lattice model of a simple crystal. We show that the $\Gamma$-limit of suitable scaled versions of the model leads to an
Externí odkaz:
http://arxiv.org/abs/2407.03975
Autor:
Coclite, Giuseppe Maria, De Nitti, Nicola, Maddalena, Francesco, Orlando, Gianluca, Zuazua, Enrique
We study the global well-posedness and asymptotic behavior for a semilinear damped wave equation with Neumann boundary conditions, modelling a one-dimensional linearly elastic body interacting with a rigid substrate through an adhesive material. The
Externí odkaz:
http://arxiv.org/abs/2311.05295
Autor:
Orlando, Gianluca
We study a multi-agent system for the modeling maritime crime. The model involves three interacting populations of ships: commercial ships, pirate ships, and coast guard ships. Commercial ships follow commercial routes, are subject to traffic congest
Externí odkaz:
http://arxiv.org/abs/2212.05341
We study the variational limit of the frustrated $J_1$-$J_2$-$J_3$ spin model on the square lattice in the vicinity of the ferromagnet/helimagnet transition point as the lattice spacing vanishes. We carry out the $\Gamma$-convergence analysis of prop
Externí odkaz:
http://arxiv.org/abs/2110.10047
We study a nearest neighbors ferromagnetic spin system on the square lattice in which the spin field is constrained to take values in a discretization of the unit circle consisting of $N$ equi-spaced vectors, also known as $N$-clock model. We find a
Externí odkaz:
http://arxiv.org/abs/2012.09548
We study the discrete-to-continuum variational limit of the antiferromagnetic XY model on the two-dimensional triangular lattice in the vortex regime. Within this regime, the spin system cannot overcome the energetic barrier of chirality transitions,
Externí odkaz:
http://arxiv.org/abs/2011.10445
We investigate the relationship between the $N$-clock model (also known as planar Potts model or $\mathbb{Z}_N$-model) and the $XY$ model (at zero temperature) through a $\Gamma$-convergence analysis of a suitable rescaling of the energy as both the
Externí odkaz:
http://arxiv.org/abs/2005.13365
We study the asymptotic behavior of the $N$-clock model, a nearest neighbors ferromagnetic spin model on the $d$-dimensional cubic $\varepsilon$-lattice in which the spin field is constrained to take values in a discretization $\mathcal{S}_N$ of the
Externí odkaz:
http://arxiv.org/abs/2004.02217
We study the discrete-to-continuum variational limit of the antiferromagnetic XY model on the two-dimensional triangular lattice. The system is fully frustrated and displays two families of ground states distinguished by the chirality of the spin fie
Externí odkaz:
http://arxiv.org/abs/2004.01416
Autor:
Crismale, Vito, Orlando, Gianluca
We prove the lower semicontinuity of functionals of the form \[ \int \limits_\Omega \! V(\alpha) \, \mathrm{d} |\mathrm{E} u| \, , \] with respect to the weak converge of $\alpha$ in $W^{1,\gamma}(\Omega)$, $\gamma > 1$, and the weak* convergence of
Externí odkaz:
http://arxiv.org/abs/1909.09615