Dimer problem for some three dimensional lattice graphs

DOI10.1016/j.physa.2015.09.027zbMath1400.82049OpenAlexW1714686739MaRDI QIDQ1618987

Jiangzhou Lai, Feng-Gen Lin, Ai Lian Chen

Publication date: 13 November 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2015.09.027

zbMATH Keywords

entropydimerthree dimensional lattice

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Matching theory
• The matching polynomial of a polygraph
• Remark on the dimer problem
• On the dimer problem and the Ising problem in finite \(3\)-dimensional lattices
• An improved upper bound for the \(3\)-dimensional dimer problem
• The statistics of dimers on a lattice
• Statistical Mechanics of Dimers on a Plane Lattice
• An upper bound for the multidimensional dimer problem
• Combinatorial and topological approach to the 3D Ising model
• Exact solution of the Ising model on group lattices of genus g>1
• Dimer problem in statistical mechanics-an exact result

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