Dimer packings with gaps and electrostatics

DOI10.1073/pnas.0710659105zbMath1215.82010OpenAlexW1999009888WikidataQ94082550 ScholiaQ94082550MaRDI QIDQ3010072

Mihai Ciucu

Publication date: 30 June 2011

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.0710659105

zbMATH Keywords

correlation functiontilingCoulomb gasemergencedimer covering

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (19)

Macroscopically separated gaps in dimer coverings of Aztec rectangles ⋮ Symmetries of shamrocks. II: Axial shamrocks ⋮ Interactions between interleaving holes in a sea of unit rhombi ⋮ Unnamed Item ⋮ Lozenge tilings of hexagons with removed core and satellites ⋮ Gaps in dimer systems on doubly periodic planar bipartite graphs ⋮ The interaction of a gap with a free boundary in a two dimensional dimer system ⋮ Exact solution of the 2d dimer model: corner free energy, correlation functions and combinatorics ⋮ Holey matrimony: marrying two approaches to a tiling problem ⋮ Three interactions of holes in two dimensional dimer systems ⋮ Lozenge tilings with gaps in a \(90\degree\) wedge domain with mixed boundary conditions ⋮ The emergence of the electrostatic field as a Feynman sum in random tilings with holes ⋮ The other dual of MacMahon's theorem on plane partitions ⋮ The interaction of collinear gaps of arbitrary charge in a two dimensional dimer system ⋮ Correlation of a macroscopic dent in a wedge with mixed boundary conditions ⋮ Lozenge tilings of doubly-intruded hexagons ⋮ The effect of microscopic gap displacement on the correlation of gaps in dimer systems ⋮ The multinomial tiling model ⋮ Dimers and families of Cauchy-Riemann operators I

Cites Work

• Rotational invariance of quadromer correlations on the hexagonal lattice
• Local statistics of lattice dimers
• Dimers and amoebae
• Advanced determinant calculus: a complement
• Long-range properties of spanning trees
• The statistics of dimers on a lattice
• Statistical Mechanics of Dimers on a Plane Lattice
• Dimer problem in statistical mechanics-an exact result
• Statistical Mechanics of Dimers on a Plane Lattice. II. Dimer Correlations and Monomers

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