Compactness by Coarse-Graining in Long-Range Lattice Systems
We consider energies on a periodic set ℒ{\mathcal{L}} of the form ∑i,j∈ℒaijε|ui-uj|{\sum_{i,j\in\mathcal{L}}a^{\varepsilon}_{ij}\lvert u_{i}-u_{j}\rvert}, defined on spin functions ui∈{0,1}{u_{i}\in\{0,1\}}, and we suppose that the typical range of the interactions is Rε{R_{\varepsilon}} with Rε→+...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2020-11-01
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| Series: | Advanced Nonlinear Studies |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/ans-2020-2100 |