A dimer ABC (Q2811999)
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scientific article; zbMATH DE number 6591400
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A dimer ABC |
scientific article; zbMATH DE number 6591400 |
Statements
10 June 2016
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phase transitions
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square lattice
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perfect matching
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graph theory
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clusters
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A dimer ABC (English)
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The paper provides a review of results obtained for models of statistical physics based on the distribution of two different species of particles (hence the name of ``dimer systems'') on sites of two-dimensional square lattices, so that two neighboring particles belong to different species. The system may be integrable. If the boundary conditions imposed on the system are periodic, the lattice is actually defined on a toroidal surface, and the analysis becomes tantamount to solving certain problems from the graph theory. The main issues comprised by the review are symmetry of the configurations, representation theory and resolution of singularities, and a combination of both of these topics.
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