Optimal bounds for periodic mixtures of nearest-neighbour ferromagnetic interactions (Q524839)
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scientific article; zbMATH DE number 6708148
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal bounds for periodic mixtures of nearest-neighbour ferromagnetic interactions |
scientific article; zbMATH DE number 6708148 |
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Optimal bounds for periodic mixtures of nearest-neighbour ferromagnetic interactions (English)
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26 April 2017
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The authors study the homogenization of a two-dimensional lattice, where the grid points are seen as a mixture of two types of particles involved in nearest-neighbour interactions. This is supposed to mimic ferromagnetic interactions in a planar system of a mixture of spins. As main tool, one uses the concept of \(\Gamma\)-convergence to characterize the limit energies in a discrete-to-continuum setting.
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Gamma convergence
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discrete-to-continuum limits
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spin systems
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two-dimensional lattice
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