EXACT PARTITION FUNCTION FOR THE POTTS MODEL WITH NEXT-NEAREST NEIGHBOR COUPLINGS ON ARBITRARY-LENGTH LADDERS
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Publication:3583527
DOI10.1142/S0217979201004630zbMath1192.82019arXivcond-mat/0007505OpenAlexW3106515469MaRDI QIDQ3583527
Robert Shrock, Shu-Chiuan Chang
Publication date: 17 August 2010
Published in: International Journal of Modern Physics B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/cond-mat/0007505
Phase transitions (general) in equilibrium statistical mechanics (82B26) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
Related Items (8)
PARTITION FUNCTION ZEROS OF A RESTRICTED POTTS MODEL ON SELF-DUAL STRIPS OF THE SQUARE LATTICE ⋮ Structure of the partition function and transfer matrices for the Potts model in a magnetic field on lattice strips ⋮ Some exact results on bond percolation ⋮ Tutte polynomials and related asymptotic limiting functions for recursive families of graphs ⋮ Asymptotic behavior of spanning forests and connected spanning subgraphs on two-dimensional lattices ⋮ STATISTICAL MECHANICS OF EQUILIBRIUM AND NONEQUILIBRIUM PHASE TRANSITIONS: THE YANG–LEE FORMALISM ⋮ Exact chromatic polynomials for toroidal chains of complete graphs ⋮ Asymptotic behavior of acyclic and cyclic orientations of directed lattice graphs
Cites Work
- Spanning trees in regular graphs
- Limits of chromatic zeros of some families of maps
- The coloring of graphs
- Exact Potts model partition function on strips of the triangular lattice
- Ground state entropy of the Potts antiferromagnet on strips of the square lattice
- \(T=0\) partition functions for Potts antiferromagnets on Möbius strips and effects of graph topology
- Recursive families of graphs
- On dichromatic polynomials
- An introduction to chromatic polynomials
- A Contribution to the Theory of Chromatic Polynomials
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